diff --git "a/data/dm_maths/full_data/2535_11255.jsonl" "b/data/dm_maths/full_data/2535_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2535_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((5*(sqrt(495)*4 - sqrt(55) - sqrt(165)\/(sqrt(12)\/sqrt(4))))\/((sqrt(500)*1 + sqrt(500))\/(sqrt(40)\/(sqrt(10)*-1))))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 3*n**2 + 2*n + 9. Let t be z(-3). Calculate the greatest common divisor of 120 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-130)\/169)\/((-12)\/156). Let n(z) = z**3 - 10*z**2 - 3. Calculate n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 11*j + 10*j. Let a(p) be the third derivative of 0*p + 1\/1008*p**8 + 0*p**5 + 0*p**6 + 0*p**7 + 4*p**2 + 0*p**4 + 0 + j*p**3. Factor a(t).\nAnswer: t**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(981\/330 - 3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1639 - -21313\/13. Suppose -6\/13*f + v*f**2 + 2\/13 - 2\/13*f**3 = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*c - 16181 = -16173, 5*z - 4*c + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3148293515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y**2 - y**2 + 4*y**2 + 22*y**2 - 26*y**2 - 47*y**2.\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**17)\/p)**(2\/117)\/((p\/(p*p\/(p\/(p*p*p**(-16)*p*p)*p*p)))\/(p**(2\/31)*p)) assuming p is positive.\nAnswer: p**(-47909\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3630) + 3*sqrt(3630)*-1 - sqrt(3630))\/((sqrt(160)\/(sqrt(12)\/sqrt(3)))\/sqrt(4)))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 10\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 79. Suppose 0 = 4*n - 5*n - 44. Let w = n - f. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20707 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*r + 427*r + 3*g + 5902482 = 0, 1967524 = -r + 4*g. Round r to the nearest ten thousand.\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 - 10 = -p, 4*n = p + 33. Solve -21 = -5*h + 2*y, h + y + 0*y = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-7) - 14\/(-49). Let u(l) = 2*l**2 + 8*l + 12. Calculate the smallest common multiple of u(w) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36253 + 16975 = 3*n, -4*n + 26604 = 2*g. Let s = -8710 + g. Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2412171782 and 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 3*g)*(-133 + 41 - 74).\nAnswer: -332*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4803*l + 104*l - 34599 = 29192 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 19*q - 20. Calculate the common denominator of 37\/27 and ((-6)\/q)\/(45\/100).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67767719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(91) + 1*sqrt(91)*2 + sqrt(91)*-2*-3)\/(sqrt(42)\/(sqrt(36)\/sqrt(6))*2))**2.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1260)\/6240 + (300\/(-156) - -2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1221686 divided by -1.\nAnswer: 1221686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 59945.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*a = 2420, 36*i - 35*i = -4*a + 1184. What is the lowest common multiple of 240 and i?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-64))\/((7\/(-6))\/(-7))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 2*m**2 - m**2)*(2 - 2 + m) - 10*m**3 + 10*m - 10*m + (-3*m**2 + m**2 + 0*m**2)*(5*m + m - 5*m) + m**2 - m**2 + 4*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 161.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17098 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at least -8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600) - sqrt(3600)*2)\/(2*(sqrt(12) + sqrt(36)\/sqrt(3))) - (-3 + ((sqrt(48))**2 - sqrt(12)) + (sqrt(48))**2*2).\nAnswer: -141 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -340*(6 - (10 + -3)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 149\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/20)\/(83\/498).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 15*r**2 + 16*r - 17. Let w be n(-14). Let v be w\/130 + 1\/2. What is the closest to -2\/5 in v, 3\/2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3452 + -3447. Let w be 1\/7*(-5 + 3). What is the nearest to w in 4, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100122, -200279, -300442, -400611, -500786, -600967, -701154?\n\"Answer: -3*v**2 - 100148*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.1, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 - 2. Let i = -7 + 5. Let h be c(i). What is the second derivative of -3 - 2*t - h*t**2 + 3 wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/13*h**2 + 0*h + 2\/13*h**3.\nAnswer: 2*h**2*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 148. What is the common denominator of (-351)\/180 - ((-8)\/5)\/n and 25\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 6. Let r be i(-8). Let w = 76 + -73. Suppose -5*t = -w*h + 5, 6 = 5*t - 4. Solve 4*y = 5*c + r*y + 7, -h*y + 4 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115431301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 44 - -57 - (1 + 9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134162 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7276795 = -2*j, -747*j = -743*j + 3*p + 14553603. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 5:26 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7714*f + 15244. Give h(-2).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.4 - 12.4. Let i(w) = -w + 9 + 17 - 6 - 2*w. Let p be i(7). Which is the closest to -0.1? (a) p (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 5 + 4 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4) - 2\/(-4). Suppose 0 = 6*a - v*a. Solve a = -5*y + h - 12, y - 4*h = -6*h - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than -1410968577?\nAnswer: -1410968551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*6\/(-1). Let g = j + 1. Suppose -7*k = -143 + 38. Solve -k = 4*u + g, 4*x = -u - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -754 and 64161515.\nAnswer: 64160761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let f = 1.15 + -51.15. Let a = f - -46. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:22 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 + 219*u - 1470 + 493 + 492.\nAnswer: 219*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s**3 - s**2 + 2*s - 1. Let m be i(1). Let o = 27 - m. Suppose 2*u = 4, -192 = -9*q + 4*q + 4*u. What is the greatest common factor of q and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.086 + 0.014. Suppose 4*p - 4 = 12. Suppose i + p*a - 7 = -0, 13 = -2*i + a. What is the closest to u in i, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 180.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-9)*p*p))\/(p\/(p**(-17)\/p))*((p\/p**(-2\/41))\/p)\/p**(-11))**38 assuming p is positive.\nAnswer: p**(-1482\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*h = -15, 3*h + 7 = 2*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 8669255?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005169657 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laq when three letters picked without replacement from {q: 1, c: 1, f: 1, a: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1503 or 1505?\nAnswer: 1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 27943.\nAnswer: 8382.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m + 0*m**2 + 3 + 5\/3*m**3. Let h(k) = -k + k - 413*k**2 + 407*k**2. Calculate d(h(z)).\nAnswer: 180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13730*v - 2869577. Calculate h(-209).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2014.\nAnswer: 10070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 224*d**2 + 3585*d - 240. Determine c(-239).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -15. Let o = b - -36. Suppose 0 = -2*k + k + 2*r + o, -4 = r. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232088 is divided by 1517.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 4*r**2 - 3*r + 6. Let p(k) = k**3 + 3*k**2 - 3*k + 7. Let u be p(-4). Suppose 0 = u*m - 2*s + 23, 0 = 2*m - 7*m + 3*s - 37. What is i(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = -2*r + 1, -5*p = 4*r - 19. Let w = r + 3. Suppose -59 + 19 = -w*n. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172830173331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*3366\/(-2618)*(-78)\/9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 + -99. Let o = -28 + a. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*q + 7 + 11, -3*q = 2*x + 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*m**3*x**3 + 82*m**3*x + 40*m**3 + 3*m**2*x**3 - 95*m**2*x**2 + 144*m**2*x - 6*m**2 - m*x**3 wrt m?\nAnswer: -138*x**3 + 492*x + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129*b**2*i - b**2*r - b + 2*i - 723*r with respect to b.\nAnswer: -258*b*i - 2*b*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/4*-1578*294\/63. Round d to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - 5*k**2 + 5*k**2 + (4*k**2 + 6*k**2 - k**2)*(k**2 + 3 - 3) + 2*k**4 + 0*k**3 + 0*k**3.\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -3\/284, 0.5, 1\/6, -0.01?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17152 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 14*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/17 + 688*g\/17 - 59168\/17 = 0. What is g?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-1\/26)\/(w**(-4)*w*w**5) assuming w is positive.\nAnswer: w**(-209\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -43. Let z = -110 + 115. Suppose -3*w = -6*w + 6. Solve -3*m - 17 = 4*p, -m + z*p = -w*m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 24*u**3 + 20*u**2 - 2*u + 5. Let b(f) = 11*f**3 + 9*f**2 - f + 2. Give -9*b(j) + 4*l(j).\nAnswer: -3*j**3 - j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4234649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 14 - 24, -2*h - 4*q = -11270. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/4 - 2043*u**2\/4 + 87210*u - 86700 = 0 for u.\nAnswer: 1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45966, 183939, 413892, 735825?\n\"Answer: 45990*o**2 + 3*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 410 and 7626?\nAnswer: 38130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*x + 0 - 7 = 0, 4*x - 4 = 0. What is the units digit of (6 + l + -65)*6\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 71. Let g = -3.04 + 0.04. What is the nearest to g in 0, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1\/2, 2\/3, 92, -0.024.\nAnswer: -1\/2, -0.024, 2\/3, 2, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2\/5)\/n))**(-23))**(-31)*(n**(-1))**(7\/5)\/(n**(-4\/9)\/n**(-2)) assuming n is positive.\nAnswer: n**(44786\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 2. List the prime factors of k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99470103 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/140 and -100 - -110 - 491\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327116 divided by 5\nAnswer: -327116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 - 39429176*a = 0. Calculate a.\nAnswer: -39429176, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 23194 = 2*p, 0 = 6*p - p - 5*n - 58010. Round p to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15777\/155 > -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1725 + 0.1475. Is -3.5 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394 or -45643\/116?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 130. Suppose -k - o*s + 16 = 0, -k + 3*s = -4*k + 33. Calculate the remainder when 53 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:45 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-136)\/(-6))\/(18\/(-81)) - 4. Let j = 107 + l. Suppose -5*a - 6 = -j. Sort -5, 4, a, -3 in ascending order.\nAnswer: -5, -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:17 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -57. Let a = 48.06 - q. Put 3, a, 0, -0.2 in decreasing order.\nAnswer: 3, a, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**7\/147 - 2*f**6\/105 + 28*f. Factor o(n).\nAnswer: -2*n**4*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-15))\/(3\/(-20)). Let t = -8 + z. Let u be -2*1\/4*-1*4. Solve t = 2*s - 0 - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*d*p**2*w + 90*d*p**2 - 3*d*p*w + 11*d*p - 3*p*w - w wrt p.\nAnswer: -30*d*w + 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 4*g - 3. Let c be -2*35\/(-10) - 1. Let z be k(c). Calculate the greatest common factor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267001 - 800999\/3. What is q in 1\/3*q**2 + 16\/3*q - d - 4\/3*q**3 = 0?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -464.4 - -464. Let q = s - -0.334. Is -2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 less than 179554.463629?\nAnswer: 179551.763629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-168)\/(-70))*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9040, -18060, -27080, -36100, -45120, -54140?\nAnswer: -63160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 10) in base 4?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + m = 2*a - 28, 2*a - 20 = -4*m. Let d(f) = -f**3 + 6*f**2 + f. Let c be d(a). Let z = 5 + c. Solve 2*o = -t - 10, -z = 4*o + t + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 120 - -41758?\nAnswer: 41878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109056280*a**5 - 87496265*a wrt a.\nAnswer: -2181125600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4\/5 + 33*o**3\/5 + 108*o**2\/5 + 48*o\/5 - 192\/5 = 0. Calculate o.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3453 is divided by 1726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/45 and -79\/69790?\nAnswer: 628110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdw when four letters picked without replacement from wddwwddwww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/6198043 or 0?\nAnswer: 4\/6198043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhvghesvvhhvgvgh. Give prob of picking 1 v and 1 h.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.3. Let q = -128 + 127.6. What is the biggest value in q, 3\/7, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 85 - 197 = -22*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 14)*(5 - 12 + 8*j**3 + 5) in the form b*j**3 + p*j**2 + c*j + x and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 26*i + 103. List the prime factors of y(-16).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3 = x, 37*g - 5 = 42*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nddd when four letters picked without replacement from {n: 3, d: 11}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -467\nAnswer: -466.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5237 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: What is the common denominator of -89\/48 and 31\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25295400 and 2529540.\nAnswer: 25295400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140331242?\nAnswer: 2, 70165621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = t, 12758*o - 12757*o + 3*t = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11191 + 11980. What is the remainder when s is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 10 = -2*g. Let t = -2 + 12. Let c = t - g. Solve -h + 5*x = -8 - 8, 3*h - c*x = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114926927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583985 - 14*f + 5218*f**2 + 14*f - 583985.\nAnswer: 5218*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a**2 - 21*a**2 + 14*a**2 - 3*a**2.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3050 divided by 5\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 21258017 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592487 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0*s - 3*s - 6 - 6 = -3*s + 18, -3*i - 138*s = 831 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -10 (b) 347 (c) -0.1 (d) 0.2 (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/(-56) - (945\/(-56) - -17))\/(-1).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -n, -8*h + 11*h + 6 = 3*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 - ((-8 - -6) + 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:33 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72920?\nAnswer: 2, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 746 and 3924706?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 100*y**3 - 1 - 1.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9*x = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14432*b**2*d**2 + 2*b**2 + 2*b*d + 535*b + 13*d**2 wrt b?\nAnswer: 28864*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)\/(2 - 1). Suppose -2*q + 4 = -3*a - 6, -n*q = a - 15. Suppose a = -4*k + 3*h - 2*h + 22, -3*k + 12 = -3*h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9 - 6*a - 6 + (2*a - 5*a + 8*a)*(1 + 3 - 3) in the form z + r*a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1000)\/(-1750))\/(3\/((-63)\/(-150)))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 7 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-9) + (-1456)\/(-64))*-4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 862 - -533. List the prime factors of v.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 13. Let f(g) = -2*g + 38. Let r(n) = -2*f(n) - 7*w(n). Let v be r(5). Suppose 5*u - 3*u + v*u = 0. Solve u = 4*l - 0*l, -l + 20 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 + d - 1. Let r be ((-92)\/(-16) + -5)\/(2\/144). Let i(k) = -30*k**3 + 27*k**2 - 27*k + 27. Determine r*g(q) + 2*i(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -91. Let c be (-2)\/33 - (-5174)\/429. Calculate the greatest common divisor of o and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 2*k, -4*p + 2*k - 2 = -16. Let t = 7 - p. Suppose -3*n = -7*b + 3*b + 51, t*n = -3*b + 54. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 498*l + 364*l + 414*l + l**2 as z*l**2 + g + k*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351591881, -703183761, -1054775641?\nAnswer: -1406367521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 735351.5m?\nAnswer: 735351500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -56 - 64 - 56 + 3*o - 51 + 226. Let h(f) = -1. What is -2*h(b) + k(b)?\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 + 2*y + 2. Let a be r(6). Suppose -3*s = 4*d - 64, 2 = -3*s + a. What is the remainder when 25 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 - 4*p + 8. Let g be h(6). Let i = -15 - -13\/3. Find the common denominator of 61\/(-1)*2\/g and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76033, -76032, -76031, -76030, -76029, -76028?\nAnswer: -76027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g**2 - 3*g + 3. Determine o(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -129. List the prime factors of (976 + 9)*l*(-1)\/(-5).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32267 + -22145. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i**(-8)*i)**(1\/24) assuming i is positive.\nAnswer: i**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 7 + 13 + -24 + 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) -159079 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 86 - 5*z + 56*z**2 + z**3 - 60*z**2 - 88. Determine f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22493947\/477 + 47157. Let v = 42133817627699\/8307806855220 - 12\/870839293. Let t = v + f. Find the common denominator of 77\/18 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/h*h**2)\/((h*h**(6\/7))\/(h*(h**(2\/19)\/h)\/h)) assuming h is positive.\nAnswer: h**(-1531\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 10*h - 9.\nAnswer: -(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -12, -7, -8, -2 in decreasing order.\nAnswer: -2, -3, -4, -7, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75174 is divided by 139?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, 5, -0.04 in increasing order.\nAnswer: -18, -0.04, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -0.015, -53\/4, 233?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 - 117. What is the highest common factor of 238 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-340)\/(-90) + 2\/9. Solve -w - w + 8 = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**2 - v - 1. Give c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/120 - 11*z**5\/60 + 5*z**4\/12 - 10*z**3\/3 - 22*z**2. Let h be p(-12). Is 3 - (4 + (h - 114)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202850 a multiple of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 59*i - 1888. Is 127 a factor of c(42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**2 + 10413592*u + 10413596 = 0.\nAnswer: -1, 2603399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81483, 81470, 81481, 81528, 81623, 81778, 82005?\n\"Answer: 2*n**3 - 27*n + 81508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 202?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 243*t - 186. What is the lowest common multiple of x(-80) and 279?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**4 + 6*d**3 - 12*d + 3. Let y(f) = 6*f**4 + 11*f**3 - 24*f + 7. Let c(w) = -7*q(w) + 3*y(w). What is n in c(n) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651*t + 1092157 = -30788*t - 2753927 for t.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (740\/(-1554))\/(25\/(-30))*(-8)\/((-2080)\/14)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k + 63*k - 2*k**2 + 25*k - 133*k + 19*k - 189 + 189.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 - 257*q + 128*q + 129*q.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53376, -53276, -53176, -53076, -52976?\nAnswer: -52876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 213. Let l = h + 107.7. What is the biggest value in -0.1, l, -0.41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/360 + 31*r**5\/72 - 367*r**4\/72 + 82*r**3\/9 - 335*r**2 + r + 2. Let s(x) = 0. What is x?\nAnswer: -82, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. Suppose -5*j + 11 + 9 = 0, 0 = 4*r - g*j + 16. Calculate the lowest common multiple of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -5*q**8\/336 + 5*q**4\/24 + 4*q**2 - 6*q. Let a(l) be the first derivative of h(l). Find the second derivative of a(g) wrt g.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + 1 + sqrt(405) + 2)**2 + 5*(sqrt(5) + (sqrt(25)\/(sqrt(15)\/sqrt(3)) - sqrt(5)) + sqrt(5) - (sqrt(20)\/sqrt(4) + -1)**2)) + -4.\nAnswer: -1237 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 27*t**2 - 39*t - 230. Calculate y(-6).\nAnswer: 1840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 + 250. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15470 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 16*u**3 - 33*u**3 + 6*u**3 + 20*u**2 as r*u + h*u**2 + b + g*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyx. Give prob of sequence yx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, t: 3, n: 1, s: 3}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 1340*o**3 + 111784*o**2.\nAnswer: 4*o**2*(o + 157)*(o + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -4\/7*a**3 + 0 + 24\/7*a**2 + 34*a + 1\/28*a**4. Factor k(g).\nAnswer: 3*(g - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + (-1 - (-4 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 2)*(14*d**3 - 7*d**3 - 5*d**3) to the form l + a*d**2 + m*d + t*d**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16581347\/686 + 24171. What is the common denominator of -67\/476 and z?\nAnswer: 23324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(q + 5*q - 4*q) - 5*q + 0*q + 3*q - 3*q - 3 + 3 + (0*q + 2*q - q)*(-2 + 0 + 6).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) 10 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2697*o*q**3 + 974466*o - 21*q**4 + 2*q wrt q?\nAnswer: -16182*o*q - 252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 110001011111011010001100100?\nAnswer: -110001011111011010001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let a be (-5)\/5 - 3*-1. Let v(s) be the second derivative of 0*s**3 + 1\/4*s**4 + 0 + 2*s + 0*s**a. Give v(f(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13514 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -91, -137, -183, -229?\n\"Answer: -46*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:30 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1824185*x**3 - 4731909*x**2 + x - 1 wrt x?\nAnswer: 10945110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/6)*g\/(g\/(g**(6\/13)*g)) assuming g is positive.\nAnswer: g**(101\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 2*o - 2. Let r be a(1). Suppose r*y - 103 = 55. Suppose -3*t + 3*j = -50 - y, t = -2*j + 34. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*s, 2*s + 6 - 4 = 4*r. Solve -5 = -8*m + r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 59 + 16 = 0. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-121)\/((-17303)\/(-198)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16468636 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 80. Let z = -68 + b. Let x = -23 - z. Sort -3, -1, x in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f - 7*f**3 + 138*f**4 + 2*f**3 + 3*f**3 - 136*f**4 in the form h*f + u + t*f**2 + c*f**4 + q*f**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7684 and 16.\nAnswer: 30736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11240, 21879, 32518, 43157, 53796?\nAnswer: 64435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61880\/9282 - (-38)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppppppxpppppxpppxpx.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 12 = -7*g. Calculate the highest common divisor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 65. Sort 4, l, 3 in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:27 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.959 to zero decimal places.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 + 1\/120*o**6 + 0*o - 7\/60*o**5 - 8\/3*o**3 - 1\/3*o**4 - 6*o**2. What is the units digit of c(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3, -2*u + 0*u = -5*d - 3. Solve u*w = -2*z - 24, 3*z + 7*w - 2*w + 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 12771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89644?\nAnswer: 2, 73, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**4 + 13850*n**3 - 3*n**2 - n - 556486?\nAnswer: 16*n**3 + 41550*n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 157. What are the prime factors of d?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = -10. Let p = 33 - 30. Suppose -x*l = -p - 27. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015019251 to the power of 1\/3, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1980\/162 + -12)\/((-2)\/3). Which is the nearest to 0? (a) k (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-121333927\nAnswer: -242667854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/8 - 196461*w\/4 + 2750503\/8 = 0. Calculate w.\nAnswer: -392929, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39239415 - 15544170. Let r = l - 33285245. What is r rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, i: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1470, 2 in decreasing order.\nAnswer: 2, -2, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 57*u**2 + 47*u - 2679. Determine o(57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019096482 rounded to 7 decimal places?\nAnswer: -0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86562518, -173125035, -259687552, -346250069, -432812586?\nAnswer: -519375103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*v**2 + 4)*(3 - 4 - 1)*(6 + 1 - 5).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1207 * -2177\nAnswer: -2627639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*d - 12 = -3*k - 122*d, 0 = -7*k + 3*d + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-2))\/(45\/(-120)). What is the greatest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 289*u + 1731. What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*h = 4, -4*f = -0*f + h - 25. Suppose -2*u + 3*u - f = 0. Suppose -9*q - 3450000 = -u*q. Round q to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, c: 1, z: 1, w: 1, e: 2}. What is prob of sequence lr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)*-4 + sqrt(68) + 5 + (-1*sqrt(34)\/sqrt(2) - sqrt(68)\/sqrt(36))**2.\nAnswer: -6*sqrt(17) + 326\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssksssssssss.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -31*l + 20. What is the closest to 1\/3 in 0, 7, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -3608 (c) -3 (d) -4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 7253274?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59469 and 28380.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -80.6, 1\/23, -4, -1\/5 in increasing order.\nAnswer: -80.6, -4, -1\/5, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11659 - 10879. Calculate the least common multiple of 132 and c.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.915177 nanometers?\nAnswer: 0.004915177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -l, 0*n - 2*l = 2*n. Let g be 2\/(-3) + 2\/n. Suppose -o + 18 - 22 = g. Which is the third biggest value? (a) 0 (b) 0.3 (c) o (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*d**4 + 90*d**4 - 114*d**4 + (0*d**2 + 0*d**2 + 2*d**3)*(2*d + d - 2*d) to p*d**3 + z*d + k*d**4 + v + u*d**2 and give k.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15*f = 17*f + 128, -68 = z + 3*f. Suppose d + 56 = -4. Let o = d - z. Solve 3*m - 1 - o = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 41*k**2 - 81*k - 284. What is the thousands digit of b(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i. Let m be t(9). Let h = m - 48. Solve -h*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 733974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110202 - 1111222?\nAnswer: -1222030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23515?\nAnswer: 5, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 196*o - 2580. What is d(-14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from etreerbieerebrie.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.469? (a) 5\/3 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 61*n**3 + 6 - 59*n**3 - 1. Let r(v) = v. Determine y(r(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103321 (base 4) in base 14?\nAnswer: -1d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 66. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27841? (a) 0.13 (b) -2\/5 (c) 3\/7 (d) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 - 17*h**4*y - 48*h*y - 2*h wrt h.\nAnswer: -60*h**3 - 204*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 242533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 9 - 5*q + 3*q. Let n be l(3). Let f(b) = -b**2 + 9*b - 6. Let y be f(8). Solve 4*o - 9 = i - n*i, -y*i - 12 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let o = 197\/300 - -1\/100. Let u = -2.9 - -3. What is the nearest to u in o, -2, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5 - 4\/(-20). Which is the smallest value? (a) -3 (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -13. Let n be b\/(-10)*120\/(-18). Suppose n*g = 11*g. Which is smaller: -2\/37 or g?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248648651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -118. Suppose 5 - 37 = 4*i. Let a = i - -16. Calculate the highest common divisor of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/120 + 7*z**5\/60 + z**4\/24 + 8*z**3\/3 + 8*z**2. Let g be a(-7). What is the highest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 - 107*f**2\/3 - 34*f = 0.\nAnswer: -6, -17\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 15. What are the prime factors of c(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 15) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q - 2*q)*(-5 + 5 - 2) + (-5 + 4 + 3)*(-4*q + 4 - 4) - 7*q + 4*q + q + q + 1 - 1.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h + 0 + 0*h**4 + 0*h**3 + 3\/5*h**5 - 11\/60*h**6 + 27*h**2. Find the third derivative of p(a) wrt a.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose 4*d = -3*m + 23, 3*m + 21 = 2*d + 68. Let q = m - 10. Solve -2*n - 8 = q*s, -n + 4*s + r = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 89. Put 0.1, s, -14, -0.5 in ascending order.\nAnswer: -14, s, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 * 462.4.\nAnswer: 36992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.87, 98741, -2\/9 in ascending order.\nAnswer: -2\/9, 0.87, 98741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35223296 and 3122.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4124 + -69.5832. Let o = -67 - 4. Let p = i - o. Round p to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)*p**(-3) assuming p is positive.\nAnswer: p**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3522 and -99\/14?\nAnswer: 24654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -227136063 less than -39?\nAnswer: 227136024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 7*r = -15 + 75 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9213 - 832 + 1624 = -345*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/54*(-3)\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105497 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1090\/1635*20*(-1)\/(-8)*-9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**11\/((x*x\/(x*x**(-14)))\/x)**(-2\/3) assuming x is positive.\nAnswer: x**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134 in 5\/7, 0, 0.5, 3, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9676, -18295, -26916, -35539, -44164, -52791?\nAnswer: -61420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v**3 + 149*v - 110*v - 86*v as x*v**3 + f + t*v**2 + p*v and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3 = -4*o, 4*m - 3*o - 12 = -8*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/s)**26*(s\/(s\/(s**(-1\/2)*s*s)))**(-4\/9) assuming s is positive.\nAnswer: s**(-716\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8719 + 8717. Let y(k) = 2*k**2 - k + 3. Let l(q) = 5*q**2 - 3*q + 10. Give f*l(m) + 7*y(m).\nAnswer: 4*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a04 (base 15) to base 7.\nAnswer: -1365625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11464 + 17601. Suppose -5*c + w = -12608. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyxowooojoorwoj. What is prob of picking 1 x and 3 o?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 217823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68165.\nAnswer: 5, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275 and 489345.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-406)\/(-1624))\/((-1)\/(-460))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 5*x = -32*w + 45, 0 = 4*w + 5*x - 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, 0.4, -54\/5, 3, 493?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -2. Suppose o = -4*a + a. Let t be (-1)\/(-2)*(a - -19). What is the greatest common divisor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*y + 496, 0 = 2*y - 42*u + 39*u + 348. Let q be ((-1)\/(-30)*2)\/(y\/(-3528)). Which is the nearest to 2\/3? (a) 0.3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1eb9b (base 15) to base 5\nAnswer: -11203441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 596540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-4)*(63\/18 - 68190\/4)?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 232. Is 7 a factor of 185\/3 + 27\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 86959 = 5*z - 33*w, 4*z + 8*w = 69620. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, y: 4}. What is prob of sequence ry?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-40)\/(-6))*(-52)\/390\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1376662*f**3 + 1494371?\nAnswer: 4129986*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5026\/147)\/(5 - -1). Let a = -50\/7 + q. What is the common denominator of 179\/30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/(-20))\/(2\/(-12)*(-84)\/56). Solve -2*h - q + o = 0, 0 = -17*q + 13*q + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*k - 116, -52 = -28*k + 27*k + 2*t. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.214959 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2720500, -5441001, -8161502, -10882003, -13602504?\nAnswer: -16323005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 143, 150, 157, 164?\n\"Answer: 7*g + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3*1\/9). Suppose h = 3*z - 33. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**(-16)\/(((x*x**(-27)*x)\/x)\/((x**(1\/3)\/x)\/x)) assuming x is positive.\nAnswer: x**(-455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 12*o + 13. Let b be a(11). Suppose -12 - 24 = -b*u + 4*c, -3*c + 43 = 2*u. Let q = u - 18. Solve r = -r + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*36\/66. Let a = -1 - 3. Let j be 24\/(-15) - (12\/(-2))\/3. What is the third smallest value in q, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 + -910. Let k = 397 + v. Put -4, k, 3, -15 in decreasing order.\nAnswer: 3, k, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 63191798*a\/3 - 998300833618201\/3.\nAnswer: -(a - 31595899)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 2\/3 (c) -1\/7 (d) -0.2 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 29 - 29)*(3*i**3 + 2*i**3 - 2*i**3 + (i - i - i**2)*(0*i + 0*i - 2*i)) + 14*i**4 - 78*i**4 - 5*i**4.\nAnswer: -89*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -635, -630, -625?\n\"Answer: 5*x - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.1 (b) -2\/7 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/118042 and -97\/36?\nAnswer: 2124756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34041 divided by 11347\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 29 - 27 + 9*l**2 + 7*l - 5*l**3 + 4*l**3. Let o be i(10). Find the common denominator of -119\/10 and (7\/o)\/(1\/(-178)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150, -1215, -4076, -9621, -18738, -32315?\n\"Answer: -148*x**3 - 10*x**2 + x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1834 - -10642. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 2036 + 3288 = -22165. Calculate the greatest common factor of 1785 and n.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = -3*y - 104, -812688*y - 11 = -812691*y - 5*r for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 9*t. Let w be j(9). Find the third derivative of v**4 + 10*v**2 + 0*v**4 + w*v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.076252\nAnswer: -0.038126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 765.12.\nAnswer: -764.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760\/414*1\/(-5)*1*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 3, 4*i - 3*b - 10 = 0. Suppose -i*a + 152 = 4*y, y = a - 4*y - 50. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 11) in base 9?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*m = 3*m + 230, 1 = m. Find the third derivative of -x*w**2 + 5*w**6 + w**6 - 17*w**6 - 19*w**6 wrt w.\nAnswer: -3600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + b, -5*x + 6 = 4*b - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53110 by -4.\nAnswer: 26555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 341556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 smaller than 619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -687, -2, -180 in ascending order.\nAnswer: -687, -180, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1680 = -c - a, -2*c + 6*c = -a - 6714. Let l be (-2)\/9 + c\/(-18). Suppose -6*p = -3*p - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78288 divided by 3728\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13233 - 12103?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455257824 and 1366320.\nAnswer: 2276289120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 5*f - 6. Let r be l(7). Suppose -5*s = 9 + 21. What are the prime factors of s\/(-12) - r\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4193464655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/2 - 182*f - 363\/2 = 0.\nAnswer: -363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/78)\/((-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 96 = -3*u, -4*u = -5*t + 4*t - 139. Suppose 0 = -59*j + 42*j + 289. What is the greatest common divisor of j and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 1\/18*k**6 + 0 + 3\/8*k**5 + 0*k - 5\/2*k**3 + 5\/12*k**4 - 15*k**2. Let d(r) be the first derivative of n(r). Factor d(b).\nAnswer: 5*(b + 2)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370695 and 20.\nAnswer: 1482780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2067, 8260, 18581, 33030?\nAnswer: 51607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 30. Let g = 8 - m. Let b be ((-25)\/10)\/((-1)\/g). Solve 3*r = 3*a - 6, 0 = -b*a + r + 12 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 - 266.31. Let v = b - -0.82. Let n = v - -0.5252. What is n rounded to three dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -91*n - 23*n + 12*n. Let v be (0\/(-3) + -1)*-4. Solve -2*u + 16 = n*h - 7*u, -h = -v*u - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 3 - 3*q + 39*q.\nAnswer: 36*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*u + 20, -5*j + 59 = -2*u + 4*u. What is the remainder when 1220 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**28*l)*l)**(-43)*(l**(-4)*l)\/l**(-2\/27))**43 assuming l is positive.\nAnswer: l**(1344524\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 413, 920, 1621, 2510, 3581?\nAnswer: 4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.087, -4, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:16 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*a = -4*z + 3, 0 = z - a - 3. Let o(r) = 2*r**2 - 7*r + 3. Determine o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*a + 7*a**3 - 345*a - 260*a - 344*a - 343*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-38))\/(-23 - 9845\/(-358))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and -22\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*a**2 + 2 - 11 + 6 - 64*a**2.\nAnswer: -76*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a - 8. Let c be 15\/18 + (-6)\/(-36). Let v be n(c). Solve v*m + d = 10 + 14, -5*m - 5*d = -45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9966 - 9962. Solve 5*c - 7 = 5*t + 13, 0 = -3*c + q*t + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4) + 4)*(-39)\/(16185\/20)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10199, 10038, 9589, 8708, 7251?\n\"Answer: -24*u**3 + 7*u + 10216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23854 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 22 - 43. Suppose 8 = 3*x - s. Calculate the least common multiple of 1 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1361 (b) 0.5 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/260 and 161\/7332.\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -21*j**2 - 5*j - 5. Let o(l) = -10*l**2 - 3*l - 2. Let i(y) = 5*o(y) - 3*w(y). Let t(c) be the third derivative of -c**5\/60 - 26*c**2. Give i(t(f)).\nAnswer: 13*f**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*g - 1 = 0, 3*v + 0*g - g - 22 = 0. Let c = 1123 + -1118. Solve -c*j + 70 = v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose -q*k = 13 + 2. Put 4, k, 2 in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*d - 548 - 51 = 0, 3*k - 631 = 4*d. Suppose 337 = -4*p + k. Is p greater than or equal to -135\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4293, 17196, 38715, 68862, 107649, 155088?\nAnswer: 211191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 803 - 799. Let j(l) be the second derivative of k*l + 0*l**3 + 0 - 1\/3*l**6 + 13\/2*l**2 + 0*l**4 + 0*l**5. What is the derivative of j(z) wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 107, 243, 507, 941, 1587, 2487, 3683?\n\"Answer: 7*g**3 + g**2 - 2*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7450987823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + sqrt(800) + -2*sqrt(800) + sqrt(800))\/((-2*sqrt(5) + sqrt(5))*5))\/(-6*sqrt(4)\/sqrt(2)*3*-3).\nAnswer: -2*sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 72590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1923\/28 - 273\/4. What is the nearest to -0.4 in v, 27, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h - 6. Let f(s) = -15*s - 13. Let o(l) = 13*a(l) - 6*f(l). Let q(j) = -4*j. Give q(o(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y**3 - 1\/60*y**5 - 1\/105*y**7 + 0*y**6 + 0*y**4 + y**2 + 0 + 0*y. Find the third derivative of t(x) wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*d + 3*d. Let c = 12 - d. Sort 3, 6, -5, c.\nAnswer: -5, c, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(40)\/(sqrt(56)\/sqrt(343)).\nAnswer: 4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-405*v**2 - 700*v**2 - 695*v**2)*(-1 + 0 + 3)*(0 + 1 + 1) as u*v + h + c*v**2 and give c.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Solve -12 = -m*w + 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1035642 (base 9) to base 7\nAnswer: 4501634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -32. Suppose 1489 = 11*q - i*q - 5*k, 0 = -q + 4*k + 749. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/5 (b) -4 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 74531 and 2608622\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.249, 99, -4?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0*z*z)\/z**2)\/(((z\/((z\/(z\/(z*z**(-3\/8))))\/z))\/z)\/(z**(2\/3)*z)))\/(z*z**(2\/15)\/z*z*z**(-5\/6))**(26\/7) assuming z is positive.\nAnswer: z**(149\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.99 + 17.99000384. What is d rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 - 4*k - 7. Let t be p(-3). Suppose -5*a + 3*g + 26 = 0, -18 = -0*a - 2*a + 5*g. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-2)\/(-8))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/9534 and -79\/3330544?\nAnswer: 9991632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 2 + (4*b - 2*b + 0*b)*(0 - 1 + 6))*(-3 + 1 + 5).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 956.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 2. Let u = -1 - 2. Let b(w) = -14*w - 3 + 17*w - 8*w. Let k(j) = u*h(j) - 2*b(j). Let c(a) = 9*a. Give k(c(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311 is divided by 655.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585695.8 kilometers to centimeters.\nAnswer: 58569580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g**3 + 9*g**3 + 6 + 15*g**3 + 4*g - 18*g + 6*g**3 in the form m*g**3 + i + d*g + o*g**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k + 18*m - 107, -5*k + 24247 - 24184 = -4*m for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584252166.\nAnswer: 2, 3, 19, 5125019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -201320?\nAnswer: -201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 1 + 2*r - r)*(88 - 43 - 39 + 238*r) as m + x*r + g*r**2 and give g.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 - 218. Suppose c - 1122 = -r*c. List the prime factors of c.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/4501 (b) -0.3 (c) -0.1 (d) 4 (e) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-6)))\/x*x*x**(-6\/5))\/(x\/((x**(-2\/9)*x)\/x)*x\/(x\/(x*x**(-18\/5)*x))))**(3\/41) assuming x is positive.\nAnswer: x**(-307\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62.988 and 0.125899.\nAnswer: 63.113899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 221 - 53. What is the highest common divisor of 126 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 11 + 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, o: 2}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.742 - 0.178. Round x to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) -6 (c) -0.5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 198\/77 + (-3)\/(-7). Suppose 0 = -f*h - 2*g + 14, -55*g + 24 = 2*h - 50*g. Solve 4*t - 22 = 5*v, 3*t + 0*v = h*v + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u + 312 = -37*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 16*t = 12. Let r(v) be the second derivative of 1\/75*v**6 + 1\/5*v**2 + 1\/15*v**t - 1\/15*v**4 + 0 + 2*v - 1\/25*v**5 + 1\/105*v**7. Factor r(j).\nAnswer: 2*(j - 1)**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -6*o - 8 - 5\/12*o**4 - 5\/6*o**3 + 0*o**2. Let c(p) be the first derivative of h(p). Factor c(q).\nAnswer: -5*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*sqrt(7))**2 + sqrt(7))*4*-2 + ((1*sqrt(224) - sqrt(224) - sqrt(224))\/(-1*sqrt(32)))**2.\nAnswer: -1785 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 14. Let i(x) = -9*x - 16 + 0*x + x**2 + 17 + 2. Calculate i(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24))\/(26\/(-52))*66.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14 and 20\/133?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 8.370322?\nAnswer: 7.970322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.24 - 138970398?\nAnswer: -138970402.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 17798?\nAnswer: 124586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 748*b + 3. Let p(z) = -4772*z. Give p(w(r)).\nAnswer: -3569456*r - 14316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -382801?\nAnswer: 382805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.33 and 0.29.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + 8. Let v(k) = 5*k + 5. Let w(m) = -5*i(m) + 8*v(m). Let z(c) = -c. Let x(o) = -w(o) - 6*z(o). Let t(s) = -6*s. What is x(t(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 - (-12)\/(-72)*-14.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o - 93*o + 26*o + 2574 + 29*o to i*o + w and give w.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-81))\/((-2)\/36*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 259.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -34*g**2. Let i(c) = 1523641*c**2. Calculate b(i(t)).\nAnswer: -78930384493954*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*(288\/(-16))\/36.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k**3 + 4*k**2 - 2*k - 1. Suppose -5*d - 10*n + 7*n = -20, d - 4*n + 19 = 0. Let g be c(d). Which is smaller: 37\/3 or g?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let h(v) = -v**2 + 3. Give j(h(w)).\nAnswer: -3*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z - 3. Let s be z\/12 - 305\/(-4). Suppose -f + 2*f + 3*i = s, -5*f = -2*i - 329. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 4. Let u be g(-3). Calculate the remainder when 28 is divided by 30\/9*(1 + u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8649 - -8679. Solve -2*m = -4*p - 24, -i*m + p = -26*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1594970 + 1594970 + 51*t**3.\nAnswer: 51*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -2\/21 (c) -0.08 (d) 0.5 (e) 5.399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*-4)\/sqrt(9)*2)\/(sqrt(9)\/(sqrt(147)*1 - sqrt(147) - sqrt(3))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2022406*m = 2022106*m + 3600 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 210? (a) -2\/11 (b) -5 (c) 3 (d) -0.091 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + v + 17. Let q(p) = 3*p**3 - p - 33. Calculate 5*n(z) + 3*q(z).\nAnswer: -z**3 + 2*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74540 is divided by 24485.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/165)\/(138\/1518)*(-70)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -17.\nAnswer: -17, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 31*s + 30. Let k = -80 + 93. Is h(k) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 12*u + 2*u - 3*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 81*i + 1. Let z be a(-20). Let f be 1 - (-1 + 3*1). What is the tens digit of ((-198)\/z)\/(f\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117) + -2*sqrt(117)))\/(sqrt(576)*-2 - sqrt(576)).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1779 - 1778.8. Which is the closest to -1\/2? (a) m (b) 2\/33 (c) 0.02 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 13 + (-2 - -8 - 5) + (-34 - 1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29853 + -27370. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Suppose -3*j = -8*j - 20. Let y be (7\/14)\/(10\/j). Which is the smallest value? (a) 0.1 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 7*i**2 - i**2 - 17*i**2 + 327*i**2 + 384*i**2 + (-i - i + 4*i)*(-4*i + 4*i - i) to the form a*i**2 + v*i + s and give a.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55938756.\nAnswer: 2, 3, 31, 150373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0\/(-3) + 0. Let d = 3 - o. What is the highest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*d**3 - 27*d**2 - 20*d + 147720 wrt d.\nAnswer: -21*d**2 - 54*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2 and 19\/10428409?\nAnswer: 20856818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + (-2751730)\/4. Let h = 6890229\/10 + t. Let f = -1088 + h. What is the common denominator of -83\/16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 16, 2.\nAnswer: -15, -3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 4, z: 2, k: 3}. Give prob of sequence qk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233927?\nAnswer: 3, 23, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720.40379 rounded to 1 decimal place?\nAnswer: -1720.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(-2*sqrt(11)*4 + 5 - (-4*sqrt(44) + -2)))**2.\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130557221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**4 - 2*l**4 - 2*l**4)*(4*l - 3*l - 2*l).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (333048\/9 + -1)\/((-21)\/(-63)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401.529 + 2417. Let s = r + 0.229. Round s to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 - 290 + 290.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 112 - 43 = -2*j, -4*n - 150 = -2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128740 and 1640?\nAnswer: 257480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 475705679 plus -34.88?\nAnswer: 475705644.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90.307 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -532*n**5\/5 - 229*n**3\/3 + 1266. Find the third derivative of a(h) wrt h.\nAnswer: -12768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -1.4. Let k be (-17)\/(187\/(-132))*1\/2. Suppose 0 = p, h - p = k*h + 30. Sort y, 2\/7, -3, h in descending order.\nAnswer: 2\/7, y, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1269 - -0.7257. Let k = -0.6 + m. Round k to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 1829170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 1553*n + 117840 = 0. What is n?\nAnswer: 80, 1473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqiq when four letters picked without replacement from {i: 1, q: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -653 (base 14) to base 9\nAnswer: -1637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.1. Let y = 11.2 + s. Let l = 10.9999955 - y. Round l to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 5*z + 6. Let w(q) = -q**3 - 9*q**2 - 8*q + 5. Let f be w(-8). Let b be s(f). Is (4\/b)\/(-1) - 208\/(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -152, -318, -552?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 149*m + 2575. What are the prime factors of a(78)?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 47 = -158. Suppose 2*b = 4*s - 87 - a, -b = 2*s - 58. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a factor of 34186662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1142043683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 17*x - 8*x - 21*x + 6*x - 13. Let j be 0 + -2 - 12\/(-1). Let w be b(j). What is the highest common divisor of w and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2, 16, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)\/w))**(3\/32) assuming w is positive.\nAnswer: w**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvxgc. What is prob of picking 1 x and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = s. Suppose 23 = 2*g - 4*i - 17, -i + s = 2*g. Calculate the smallest common multiple of 10 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 5. Find the common denominator of (-203)\/(-84)*(y + 0) and 1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 l when four letters picked without replacement from {l: 2, q: 2, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 27. Determine s(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 64777.28287?\nAnswer: 64820.28287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 + 7*x - 44. Determine l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 39198.9 and -434.0672.\nAnswer: 38764.8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 12 + 10. Let a be (-8)\/3*(945\/(-14))\/(-9). Let n = a - h. What is the third biggest value in -0.2, 1\/4, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(6\/9) - -154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 1:37 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3)\/(3 - 2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 96. Let i(d) = 2*d**2 + 12*d - 494. Let w be i(-19). Calculate m(w).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (221 - 67 + 82 + (-4 + 6 - 1)*(1 - 1 + 2) + (5 - 3 - 4)*(2 - 5 + 2))*(n**2 - 2*n**2 + 0*n**2) in the form q + t*n + v*n**2 and give v.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*q + v, 9 + 0 = 4*q - 3*v. Solve 0 = q*w - 2*l + 16, 5*l - 17 - 16 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m*m**(-4\/3)*m*m**(-1)*m**(2\/3))**(-5) assuming m is positive.\nAnswer: m**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-48)*4)\/(5\/(-105)). Let a(w) = -10 + 2*w**2 - 10*w + w**2 - 4*w**2. Give a(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 3*x - 4. Suppose 50 = -5*g - 5*d, -4*d + 18 = -5*g - d. Let n = 9 + g. Determine v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/sqrt(4) + (2*sqrt(65))\/sqrt(5) - (sqrt(832) + 5)) + -4)**2.\nAnswer: 72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/3 - 46*j**3\/9 + 86*j**2\/9 - 26*j\/9 - 20\/9 = 0. What is j?\nAnswer: -1\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 47916.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-14)\/(-6)*82\/287.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from fffffffnfffffff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**5 + 1308*i**4 - 104940*i**3 - 326684*i**2 - 5280*i + 435600 = 0.\nAnswer: -2, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045601 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34768 is divided by 362?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -5*m**3\/6 - 9*m**2. Let c(s) be the first derivative of s**2\/2 + s + 253. Determine c(i) - p(i).\nAnswer: i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 299, 1006, 2171, 3788, 5851, 8354, 11291?\n\"Answer: -x**3 + 235*x**2 + 9*x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 0, -17 in descending order.\nAnswer: 11, 1, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 2*-1)*1. Let s be 18*-4*8\/64. Let f be (-30)\/s*12\/10. Solve -2*b + f*n = 6 - 28, b + n = -p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -24\/8227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 not equal to 10915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5273?\nAnswer: 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayam when four letters picked without replacement from {y: 4, a: 8, m: 2}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -418\/1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45208 and 26056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - 102077?\nAnswer: -10205b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4\/717, -157?\nAnswer: 4\/717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/11, -3, -2\/9, 3\/4 in ascending order.\nAnswer: -3, -2\/9, 4\/11, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**2 - 13*r**2 - 15*r**2 + 62*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -210943 plus 239?\nAnswer: -210704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12613509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -619 - -619.3. Which is the closest to 2\/3? (a) t (b) 25 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26*k**3 + 32*k**2 + 17*k + 14. Let f(h) = 9*h**3 + 11*h**2 + 6*h + 5. What is -17*f(t) + 6*m(t)?\nAnswer: 3*t**3 + 5*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4863, 46\/13, 1\/6 in increasing order.\nAnswer: 1\/6, 46\/13, 4863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65) + 1*(sqrt(65)*1 - sqrt(65))))\/((sqrt(50) + sqrt(800))\/sqrt(10) - (sqrt(20)\/sqrt(36) + sqrt(5))).\nAnswer: 15*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:14 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385) + 1*sqrt(385))\/sqrt(11))\/((-2*sqrt(5) + sqrt(5))*-3) + 4 + -3)*2.\nAnswer: 2 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t + 8. Let z be m(-6). Let g be (-481464)\/z - 2\/11. Let q = g + -49291\/9. Find the common denominator of 32\/11 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3051*l - 2622*l + 873*l.\nAnswer: -4800*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(1\/12). Let n(u) = u - 10. Let t(z) = -5. Let c(q) = 3*n(q) - 5*t(q). Calculate c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11027 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*f, 2*v - f - 47 = 6*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:50 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5040030878.9919927 - 5040030631. Let n = d - 137.991998. Let z = 110 - n. What is z rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 4. Let u(l) = 79*l - 22. What is -6*i(q) + u(q)?\nAnswer: 73*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -62, 366 in decreasing order.\nAnswer: 366, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19522 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6773852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 567, 1288, 2307, 3630, 5263, 7212?\nAnswer: 9483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36973 = 26*p - 39103. List the prime factors of p.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248526547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:32 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - 6. Let s be d\/10 - (-1)\/2. Let k be 1\/3 + s\/(-3). Which is the second smallest value? (a) 0.1 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52259770 and 1880.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + -17. Let h = 69.971 + g. Round h to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t + 8 - 15 + 8)*(-2 + 6 - 1).\nAnswer: -36*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194934 and 388642.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 25.3. Let u(x) = -x**3 - 6*x**2 + 8*x + 7. Let g be u(-7). Let y = 2 - g. Which is the second smallest value? (a) -4 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37188288 is divided by 487.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3456949 (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23130 + -15616. Let c = 17724 - s. Round c to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 2*g + 1. Suppose 2*n - y - 241 = -36, -5*y + 535 = 5*n. Let r = n - 98. What is the least common multiple of r and v(6)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 98800699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279879857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6566801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 200 + 104. Which is bigger: n or 28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let d(y) = -1676*y. Give t(d(p)).\nAnswer: -5617952*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17322913484669725*m - 17322913484669726*m + 2*m**2.\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -66, -73, -82, -93, -106, -121?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/13)\/((-2)\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Let f(i) = i**2 - 4*i. Let z be f(c). Let n(q) = -q - 1. Let t(b) = 3*b - 1. Let u(g) = -2*n(g) - t(g). Determine u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 13 = -5*p + 4*p, 0 = 4*q - 3*p - 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 16. Determine o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjsgufjjfjjcjjcjuc. What is prob of sequence gjcj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 180 = p + 193, -1 = -3*p - 4*v. Let d = 7 - 11. Put -91, d, p in ascending order.\nAnswer: -91, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - sqrt(77)*4 - sqrt(77) - sqrt(77)) - sqrt(77) - sqrt(77))\/(sqrt(7)*5*4).\nAnswer: -27*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117)*-2*1))\/(sqrt(81)*1 + sqrt(9) - sqrt(9))*3.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -80, -5, 22, 3 in increasing order.\nAnswer: -80, -5, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 10257*h**4 - 761928*h**3 - 9842652*h**2 - 16719696*h = 0. What is h?\nAnswer: -57, -14, -2, 0, 3492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -51. Suppose -36*x + 24*x + 96 = o. What is the remainder when 61 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 14. List the prime factors of (c + 1)*(-11)\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2430 > -2436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 51*o**2 + 17*o - 18. Let p be (-16)\/48 + (-160)\/6. Let q be x(p). What is the greatest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-220))\/((-15)\/(-60)*-12)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(19))**2 - (sqrt(76) + (2*sqrt(76) - sqrt(76)))**2.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12844\/111 - -758327\/3552. Let k = h + 115283\/160. Let f = k + -819. Calculate the common denominator of f and 63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 9 - 1 - 4) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3 - 2 + 0*w + 3\/2*w**2. Factor a(s).\nAnswer: 3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -327.\nAnswer: -14\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*k + 4426, 0 = o + 5*k - 2281 + 42. Let f = 66577\/30 - o. What is the common denominator of f and -59\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) 1\/8 (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.9 - -28. Which is the nearest to 2? (a) 0.4 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 4, s: 1, d: 3, y: 1, z: 5}. Give prob of picking 2 d and 1 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46783 - -46773. Let q(n) = 5*n + 9. Let v(p) = 14*p + 28. Let o(g) = -11*q(g) + 4*v(g). Give o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t = x - 42, 0 = -3*t - 6. Suppose 0 = 16*j - 1209 + 153. What is the highest common divisor of j and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5377965 + 225878.3\nAnswer: -5152086.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, 13, -0.65.\nAnswer: -5, -0.65, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*b = 78*b - 7202 - 44785 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2000\/(-6240)*-39)\/(35\/4))\/(1\/(-7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 30\/11*a - 14\/11*a**2 + 2\/11*a**3 - 18\/11 = 0. What is a?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28646.1 + 28646. What is the fifth biggest value in 6, m, 20, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n. Let r(i) = 7*i - 74. Let y be (-1 + 3)*(-4 + -8 + 11). Let a(z) = y*r(z) + 4*p(z). Find the first derivative of a(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13478 smaller than -13478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.3. Suppose -1048 = -26*z + 22*z. Let v = -260 + z. Put v, c, 1 in decreasing order.\nAnswer: v, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 4. Let j(q) = 1. Let s(z) = -3*j(z) + r(z). Let i(l) = l**3 - 6*l**2 + 5*l + 3. Let o be i(5). Let h be (4\/(-3) + 2)*o. What is s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 6806455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6229*f**3*z**2 - 15*f**3*z - 2*f*z**2 + 2*z - 194 wrt z?\nAnswer: -12458*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1462?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98)*-1 - sqrt(98))*-1 + 4.\nAnswer: -56*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 12*p + 3. Let v(x) = x**2 - 1. Determine c(f) + 3*v(f).\nAnswer: f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 55*a - 238 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*x = -1, -w + 81 - 74 = -4*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(2 - (-32)\/(-18))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 40\/(5\/(-1)) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55794029?\nAnswer: 47, 1187107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*f - 2*f + 7, -5*v = -5. Let j(s) = 3*s**2 - 14*s**2 + s**f. Let x(n) = 2*n. Give x(j(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 7\/4*u**4 - 1 + 0*u + 1\/2*u**2 - 5\/3*u**3 - 3\/5*u**5. Solve s(l) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274.4 - -891.\nAnswer: 1165.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Is w\/3 + 0 + 32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283 or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5, -2\/13, 125, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*f - 123*f - 201*f)*(2*f**4 - 4*f**3 + 4*f**3).\nAnswer: -460*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*m**4*y + 3*m**2*y**3 + 2*y**3 - 99 wrt m?\nAnswer: -28*m**3*y + 6*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98092? (a) -0.4 (b) 0.1 (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1301 (base 4) to base 14.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l + 19189 = 140*l + 30557 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 94517 and -114.\nAnswer: 94403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369547 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45236007 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.6 + 47.15. Round k to one dp.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*g = w - 10, 0 = -2*w - g. Suppose w*l + 34 = -24. What is the units digit of ((1 - l) + 1)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0 + 1 + 2*j**2)*(-105 + 408 + 168).\nAnswer: 1413*j**2 + 471","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + h - 78 = -2*h, 5*a - 107 = h. Suppose -t + 73 = a. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450164 (base 8) to base 16.\nAnswer: -25074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -53*t**3 - 81361*t**2 - 9206*t + 6145. What is r(-1535)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293881943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/2520 - 7*z**4\/12 + 7*z. Let p(g) be the third derivative of y(g). Let h(f) = 127*f - 64*f - 67*f. Give p(h(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b. Let t = 19 - 19. Suppose t*l = a - 2*l - 521, 0 = -a - l + 521. Let x(s) = -a - 3*s + 521. Calculate p(x(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - q + 8. Let u be y(0). Let l(n) = 21*n**3 - 14*n**2 + 2. Let i(d) = -7*d**3 + 5*d**2 - 1. Determine u*i(c) + 3*l(c).\nAnswer: 7*c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u - 68. Let y(g) = 17*g - 101. Let t(i) = -7*w(i) + 5*y(i). Let f be t(33). Solve h + 3*n = -14, n - 2 = h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 5*i + 19, 2*u - 4*i - 22 = 0. Suppose 5*q - k - 240 = 0, -q + 54 = -0*q + k. What is the remainder when q is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/30 - 2*l**2. Let p(m) = 2*m - 8. Let a be p(5). Let s(v) = -v + a*v - 3*v. Calculate z(s(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*o + 4696 - 7454 = -142*o + 6944 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*k = 17, k + 163 = 5*o + 2*k. Suppose o = i + 50. Let x = 34 + i. Solve -4*s + 4*h = -x, -4*s - 3*h - 1 + 24 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 21. Suppose 4*m = -3*p + 2, 17*p = 22*p + 30. What is the least common multiple of m and (-1)\/(-2 - (-39)\/z)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6)*1\/(-2). Let j = -514.9 - -27.9. Let n = j - -486. Which is the closest to -2\/7? (a) d (b) -0.6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273*b + 11 - 4*b**2 - 21 - 2597*b**5 + 4*b**2 + 17 wrt b.\nAnswer: -51940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2 - s**2 + 72*s - 73*s - 168*s**3 + 2. Let j(k) = k**2 - 10. Let g be j(3). Is w(g) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*y + 7. Which is bigger: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-8)\/44)\/((-6)\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a51 - -1?\nAnswer: 9a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/9)\/(1\/3). Is (n - 2)\/2*-8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-2)\/(2\/3). Solve 3*d + 0 = -f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.05 (b) 21\/2 (c) -4\/7 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -13\/7, -18, -1\/3, 0.4?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-117))\/(-1) + (-6)\/(-27).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3385690075\/77 - -43970924. Let y = 923 - c. Find the common denominator of y and -23\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1602147.\nAnswer: 2\/1602147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13570560 * -5.\nAnswer: 67852800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:24 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4488 - 4487.6. What is the nearest to -1\/6 in -1\/4, l, 1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003864 and -200.\nAnswer: -0.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**2. Let l be 1 - (-71 - (5 + (-18)\/2)). Let k(s) = -l*s**2 + 38*s**2 + 45*s**2. Give f(k(a)).\nAnswer: 2475*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27521561449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 16*z**2 - 10*z - 15. Let p(i) = 3*i**2 - 2*i - 3. Let n(f) = 2*o(f) - 11*p(f). Let v(x) = -x + 1. Let b be v(3). Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*q + 3*q + 375, 4*t - 3*q = 489. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175261, 175248, 175227, 175198?\n\"Answer: -4*o**2 - o + 175266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, -23 in increasing order.\nAnswer: -23, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/6)\/((-19)\/(-57)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-27))\/(4\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.4612 and 27.\nAnswer: -336.4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1632 + -0.1632. What is the biggest value in 0, s, 55, -0.2?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 466894107 to the power of 1\/2, to the nearest integer?\nAnswer: 21608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*j + 7 - 7)*(-1 - 1 + 0 + (5 - 3 + 0)*(5 - 3 - 3) + 4 - 2 - 3) in the form o*j + u and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 t, and 1 v when four letters picked without replacement from {v: 3, t: 2, y: 6, e: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2872*i**4 - 38570*i wrt i.\nAnswer: -34464*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:57 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*t + 14. Let b = -4 + 6. What is the remainder when 76\/(b\/4*4) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in -41, -1.1, -1, -2\/11, 2.02, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3910 divided by 10.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 + 9 - 18 - u**2 + 41 + 55 in the form v*u**2 + b + p*u and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9*-2*-12. Let l(y) = y**2 + 7*y + 4. Let d be l(h). Suppose 3*j + d + 0 = 0. Which is the nearest to -1? (a) j (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + -3.9. Let h be 1\/(-14)*-1 - 1870\/4620. What is the closest to 0.1 in s, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-715)*110\/10.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:49 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 54691.\nAnswer: 109382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38558.953 + -38490. Let d = s + -69. What is d rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Let r = 4 + w. Let o = 1 - -1. Solve -y + c - 8 = r*y, 3*c + 10 = -o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1100 and -55775391.\nAnswer: -55776491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 15. Let u(z) be the third derivative of -z**6\/60 - z**5\/10 + z**4\/12 + 121*z**2. Let p(y) = 2*y**3 + 5*y**2 - 2*y. Give r*u(f) + 6*p(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 338. Let z = -94 - s. What is the greatest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by -3 + 1\/(-1) + 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 557*p**4 - 78394*p**3 + 231850*p**2 - 230741*p + 76729.\nAnswer: -(p - 277)**2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/171)\/(1\/(-2))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k**(-1\/5))**(-2\/23)*((k**(1\/4))**22)**(-28) assuming k is positive.\nAnswer: k**(-194808\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -35, -11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10032041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -2. Let r = -2 - a. What are the prime factors of (-18)\/(-2) + (r - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 + 2\/9*s**3 - 8\/9*s**2 + 10\/9*s.\nAnswer: 2*(s - 2)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*x + 3*x - 20, -4 = -4*x + q. Let r be (2 - -9) + (-3 - x). Suppose -r*w = -11*w + 15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 4*y - 0, 4*y = -2*r + 6. Solve 0 = -4*m - 2*n - y - 2, -m + 2*n + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 41*f + 442. What is w(-50)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.118\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (160965\/2275 - 31 - 40)\/(1\/(-15))\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 27*j**2 + 7*j - 181. Let f be v(27). Solve -13*i = -f*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z - 6 = y, 2*z = 3*y + 14. Solve z*x - 9 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9445.9 - -966.9. Let h = a - -8482.823. Let n = 3.67 - h. Round n to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(1*(-49)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*j + 76, 31*j + 48*j - 72*j - 128 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1980 * 53.6\nAnswer: -106128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 - 3*(-40)\/30. Let n(r) be the first derivative of -5*r - 3*r**q - 5 + 5\/2*r**2. Let g(x) = 4*x**2 - 2*x + 2. What is -5*g(u) - 2*n(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*j + 57 = 0, -5*c + 51 + 294 = 5*j. Let v be c\/15 - 2\/6. Solve 4*a = a - v*t, 5*t = -a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 88*f**2 + 100*f. Let z(u) = 174*u**2 + 200*u. Let b(h) = 5*c(h) - 3*z(h). Find the second derivative of b(r) wrt r.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 19. Let n be r(9). Let m be (n - (-8968)\/44) + (-4)\/(-22). Let k = m - 101. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/771 - -3070\/5397. Let x be 4\/6 + (1 - 2). What is the closest to x in 3, -2\/13, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 4:05 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, v: 7, q: 1, x: 2}. Give prob of sequence qx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s + 4. Suppose 471 = 12*y + 411. Let h(r) = -4 + 17 - 5 - 5*r - 13 - 2*r**2. Let x(v) = y*m(v) + 4*h(v). Let c(j) = -3*j. Determine x(c(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 347*j**3\/2 - 4167*j**2\/2 + 12181*j\/2 - 105\/2.\nAnswer: (j - 7)*(j - 5)*(347*j - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -624 + 624.2. What is the second biggest value in 2, 0.4, p, 0.3, -0.24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -59*z + 5. Let y be h(4). Let b = -184 - y. Calculate the remainder when b is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 106, 229, 380, 565?\n\"Answer: q**3 + 5*q**2 + 79*q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3606 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-385)\/(-33) + -12*(-14)\/(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 4) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-6)*(-7)\/(-630)*-3*1\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 3*v**2 - v - 2. Let w be j(-2). Suppose -2 + 0 = -r + s, -2*r = w*s - 34. Which is smaller: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyssoxvyxvyyvx. Give prob of sequence xxv.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58252*s**2 + 13773*s.\nAnswer: 116504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a week?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5304, -5305, -5306, -5307?\nAnswer: -5308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*o = -12, 21*o - 16*o = -3*q - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*j = -27, 0 = -5*a - 2*j + 3*j + 23. Suppose -2 = a*c - 5*c. Suppose -63 = -v - c*v. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*i = 324*i - 1420 + 23750 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770700762 and 4446.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 11*i**2 - 6952*i - 34773. What is y(-5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/205*(-350)\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2830, -2823, -2802, -2761, -2694?\n\"Answer: o**3 + o**2 - 3*o - 2829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/(-6) + (-540)\/(-162). Let s = 585 - 405. Suppose -s = -5*o + y*c, o + o - 2*c = 68. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*z + 3, 7 = -2*w + z + 1. Let l(j) = 4*j + 2. Give l(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -70487765?\nAnswer: 70487764.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -1\/4, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3 + 19. Suppose 0*j + 81 = -9*j. Let w(d) = d**2 + 3*d - 38. What is the least common multiple of w(j) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 197. Let d(n) = -6*n - 200. What is -3*d(i) - 4*y(i)?\nAnswer: 2*i - 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times -1115\nAnswer: -189.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzm when three letters picked without replacement from vzmnnzzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2556210, -2556208, -2556206, -2556204, -2556202?\nAnswer: -2556200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*v + 115 = 0, 183*f = 184*f - 5*v + 1 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -55677.\nAnswer: -27838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 7*g**2 + g - 10790*g**3 + 4*g.\nAnswer: -10790*g**3 - 7*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 43454 (c) -5 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 179580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -22, 0, 20, -149 in decreasing order.\nAnswer: 20, 0, -2, -4, -22, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -3 + (-5 - 3 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -212 + 82. Solve 10*a + 9 = x*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*-5*sqrt(300)*2 + -5 + 0 + sqrt(300) + -1)**2.\nAnswer: 4680*sqrt(3) + 456331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 12. Determine g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - (-53 - 14)) + 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -23. Is 12 a factor of (48\/u)\/(4\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 18*g**2 + 1687781 - 1687781 + 0*g + g - 4*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 42812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 6903.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/7)*a)\/(a*a\/(a**(-1\/5)\/a)))**46\/(((a\/(a\/a**(-2)))\/a**1)\/(a**(-2\/9)\/a*(a\/(a**(2\/7)*a))\/a)) assuming a is positive.\nAnswer: a**(-11023\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*s**2 + 16*s - 23*s + 4*s + 3*s)*(0*s**3 + 0*s**3 - 2*s**3).\nAnswer: 120*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from rrgvrrghrrrrrr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -7 - 1186\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -45. Let i(x) = -x**2 - 8*x + 1. Let n = -15 + 8. Let j be i(n). What is the greatest common factor of j and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 3*r)*(51*r**2 + 227 - 227).\nAnswer: 102*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 15*w**2 - 35*w + 20. Let b be 201\/12 - 6\/(-24). Let h be t(b). Let y be (-3)\/h + 3 - 3. Let k(l) = -22*l**2 + 1. Give k(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 2699*c**5\/10 + 2*c**3\/3 - 973*c**2\/2 - 9828*c. What is the second derivative of k(f) wrt f?\nAnswer: 32388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -3, -10\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 89*r**3 - 121*r**2 + 4*r + 2. Let g(d) = -266*d**3 + 363*d**2 - 14*d - 7. Let f(w) = 7*a(w) + 2*g(w). What is the third derivative of f(h) wrt h?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 29. Which is the nearest to z? (a) 0.4 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 625 + -627.69. Let f = w - -0.14. Round f to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3417 + 0.3410845. What is x rounded to 5 decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/24 + v**3\/6 + 3*v**2. Let y = 407 - 404. Calculate q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -282, -567, -954, -1443, -2034, -2727?\nAnswer: -3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.4 + -16.33. Which is the closest to 0.1? (a) -2\/7 (b) 3.6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 20*z**2 - 19*z + 3. Let i be m(-19). Suppose i*l - 63 = -2*b, 0 = -3*l - l - 3*b + 85. Calculate the remainder when 283 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)*v**(1\/59) assuming v is positive.\nAnswer: v**(-55\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 37\/2. Which is the closest to 0? (a) x (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280965 and 149848?\nAnswer: 2247720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 473.1, 1\/6 in descending order.\nAnswer: 473.1, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 330 = -15*d. Let k(b) = b - 2. Let u be k(4). Suppose -47 = -u*p - w, 5*w - d - 54 = -5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**2 - 11 - o - 15100001\/3*o**3. Let f be k(1). What is f rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 122\/49?\nAnswer: 122\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5304?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (207\/18)\/((-15)\/(-10)) + -7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 18. Suppose -2*m + 8 = -m. Let f be w(m). Suppose 4*r = 5*y + 13, -1 = f*y + 1. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -19*y**6\/40 + 7*y**5\/30 + y**4\/24 - 11*y**2. What is the third derivative of f(j) wrt j?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10404, 39596, 87570, 154326, 239864, 344184?\n\"Answer: 9391*w**2 + 1019*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 7*v**4\/12 - 3*v**3\/2 + 8*v**2 - 257*v. Let i(c) = -5*c**2 + 9*c - 16. Let l(z) = -3*i(z) - 2*j(z). What is l(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 168 = -3*f, 3*d - 4*d + 56 = 2*f. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let b be 2\/8*(-2 + -4). Sort -6, n, b in descending order.\nAnswer: b, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -41. Suppose f + 4*o + 8 = -10, -3*f - 4*o = 62. Let w = f - r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 69306228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**5\/5 + w**4 - 41*w**3\/3 + 18*w**2 + 3721. Factor k(p).\nAnswer: p*(p - 4)*(p - 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8 - -45.8. Let v = b + -42. Let k = -0.41 + 0.41. What is the closest to k in -5, 6\/7, v?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5364.819 years?\nAnswer: 53.64819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85794 + 85796. Factor -1\/3*q**5 - 17\/3*q**2 + 0 + 5*q**3 - q**4 + f*q.\nAnswer: -q*(q - 1)**3*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.03781130866245.\nAnswer: 2.96218869133755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1819\/20654 + 1\/898. Which is the fifth biggest value? (a) 92 (b) 3 (c) -0.2 (d) l (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 + 3*o + 1237*o**2 - 1236*o**2 + 11. Let b be c(0). Calculate the greatest common factor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 87.00428. What is y rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.5. What is the closest to -1 in -1, l, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86.2 - 98.09. Let r = m + 6.042. Let j = r - -5.6. Round j to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(215582*q**2 - 215582*q**2 - 15*q**5 + 8*q**3).\nAnswer: 15*q**5 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:38 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = -2*h. Let c = h - -12. Let p be ((-2)\/20)\/((-6)\/8). Sort p, c, 1 in descending order.\nAnswer: c, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (47 - 78 - -7) - (3 + 8).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23058 rounded to 2 dps?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 - 5*d**3\/6 - 5*d**2. Suppose -5*c - 4*x - 15 = 0, -5*c + 0 - 5 = 2*x. Let r(v) = -v + 1. Give c*s(l) + 3*r(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) 1\/2827 (d) -2\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000928742 to six dps.\nAnswer: 0.000929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.064 and 6?\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/3 + 5\/33. Let z = -3992.9 + 3993.07. What is the closest to z in s, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 14392182.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2. Let j be c(2). Suppose j = -3*v - 0*v + 21. Calculate the remainder when 18 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149496 - 5.\nAnswer: 149491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(96\/(-3)))\/(220\/(-320)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -18. Suppose 16*c = 13*c + s. What is the lowest common multiple of 9 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 26050200.\nAnswer: 26050200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose 15 - 6 = x*g. Is 0 - (-21)\/g*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -1\/60*c**5 - 1\/2*c**3 + 0*c + 84*c**2 + 0 - 1\/24*c**4. Give g(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2\/(-2))*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 5*u**3 + 9*u**3 + (u + u - 3*u)*(-u**2 - u**2 + 4*u**2).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 84\/16)\/((-7)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 7 - 63)*(f**3 + 3*f**3 - 3*f**3) to the form t*f**3 + p*f + u*f**2 + s and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -333, -5, 8 in ascending order.\nAnswer: -333, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -101477074401213.\nAnswer: -101477074401212.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 + d - 1. Let f = 166 + -155. Suppose -f*s + s = 40. Calculate u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2 - 6798864*q - 3852045974208 = 0?\nAnswer: -1133144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**3 - 2*n**2 - 79193965*n - 1166085?\nAnswer: -6*n**2 - 4*n - 79193965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - ((-6)\/(-48) - (-66)\/(-16)). Suppose x = -p + 2, y*p + 2 = -x + 6*p. Solve -x*w - 7 = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -6603 >= -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(3 + 1) - -1. Let a(b) = 12*b - 112 + 236 + b - 113. Let s(g) = 6*g + 5. Calculate l*a(j) + 7*s(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 2002152?\nAnswer: -2002155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7799 less than -0.1?\nAnswer: 7798.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + (-104 - 69) + 74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a*r**2 + 5*a*r + 314*a + 2842*r**2 + r wrt r.\nAnswer: 12*a + 5684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/80 - 23\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2. Let r(x) = 91536*x + 153. What is r(a(m))?\nAnswer: 823824*m**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**0)\/m)\/m)\/m*m)**(-48)*((m*m\/(m**(-2\/9)\/m*m)*m)\/m)\/m**(-3) assuming m is positive.\nAnswer: m**(479\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 3)*(21 - 21 + 29*y) to f*y + m and give f.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4848 - -4850. Solve 3*i - 27 = 2*u + w*u, i = 2*u + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, l: 4, f: 4}. Give prob of sequence foot.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11253 divided by 341\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**4 - 4*c**3 - 22*c**2 + 29*c + 67. Let f(q) be the first derivative of q**2\/2 - q + 3. Let s(p) = 10*f(p) - 2*u(p). Solve s(a) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -3, 81765 in increasing order.\nAnswer: -9, -5, -3, 81765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27264 divided by -12.\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.02 + -10. Let i = -0.48 - q. Which is the smallest value? (a) 0.1 (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 7*t + 9. Let d be s(-2). Let l(k) = -1. Let x(m) = -m**2 - 2*m + 2. What is d*x(q) - 2*l(q)?\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, -7, -0.1 in ascending order.\nAnswer: -7, -5, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13261 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 + -4 + -7 + 9 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 727 + -1450. What is l rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -18 - -2) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 349944 and 11489828?\nAnswer: 68938968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-10))\/(2\/(-10)). Suppose -2*u - 7 = -1, q*u + 11 = -2*y. What are the prime factors of -3*(y - 14\/6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 13*m + 38*m - 5*m**3 - 12*m**2 + 30 = 0 for m.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011022 (base 3) to base 12.\nAnswer: -1908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 336598172, 336598176, 336598182, 336598190, 336598200, 336598212, 336598226?\n\"Answer: k**2 + k + 336598170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-185)\/222 - 1\/(-3)) + (-135551)\/(-26). Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10 + 620. Suppose -14*s = -9*s - t. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1482*l + 5753. List the prime factors of n(12).\nAnswer: 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*x**4 + 1910286*x**3 + 87585191*x**2?\nAnswer: -528*x + 11461716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 1 - 1) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010110 (base 2) to base 7\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26\/9 (b) -1 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5 - 3 + w + w - 3*w. Let u(a) = a - 1. What is -l(q) - 2*u(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 1181 = -2*m + 1179, -p = -3*m + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2079\/(-21))\/(-9) + (-1585)\/180 and (-1)\/(24\/154) - 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32883 + 651766. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 838215488 and 704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37513 * -1.2.\nAnswer: 45015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747888 at least 8747888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 507959 and 0.1?\nAnswer: 50795.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -25 + -9 + (-5 - -1) + -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (50\/(-165) - 1)\/(-1) + -2 and 32\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -0.5 (c) 21\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) - (-2 + 0). Suppose n = w - 2 - 3. What is the second derivative of w - 2 - 3 - 2*g**2 - g wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 5, q: 5, s: 4}. Give prob of sequence qcr.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*p - 1)*(-183 + 165 + 162) to the form j*p + s and give j.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-6 + (-18)\/(-12)). What is the closest to -0.1 in f, -3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-16 - 53 - (-1 + -7)) - 17.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -718, 51, 0.2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/5))**(-32)*(f**(-1\/3))**(-48))**(-3\/22) assuming f is positive.\nAnswer: f**(-168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {y: 5, g: 1, a: 2, d: 8}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b99 - -5?\nAnswer: ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46596)\/8 - (-1)\/(-2). Let b = -116437\/20 - c. Calculate the common denominator of b and 33\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 3*f + 205. What is the remainder when f is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 241364812562 and 0.11?\nAnswer: 241364812561.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31130.\nAnswer: 2, 5, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*p - 1164, -21 = 4*p - 1. Does 8 divide 6\/4*(t\/(-12) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*15\/(-50)*(-4)\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d - 1. Let g(t) be the second derivative of -t**4\/6 + t**3\/2 - 3*t**2\/2 + t. Let s be (1\/(-2))\/(148\/(-24) + 6). What is s*o(j) - g(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000362107 rounded to 7 dps?\nAnswer: -0.0000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -53889000 to the nearest one hundred thousand.\nAnswer: -53900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -0.8. What is the closest to m in -2\/11, 1, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29457 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7056\/(-2310))\/(105\/150)\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (564\/36 + -16)*-1422039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + 9.1. Let m = i - 11.8. Sort -2, m, 3 in ascending order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028*z**2 - 1524*z**2 + 2548*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:22 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015978 rounded to 7 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 33. Let c = 8 + 22. Let f = n + c. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 65*u - 663. Let i be (-4)\/((-12)\/27)*1. Let l be a(i). What is g in l*g + 9\/2 - 3\/2*g**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c - 4. Let u be d(-7). Suppose u*i - 225 = 5*k, -5*i + 338 = 5*k - k. What is the greatest common divisor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 6. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f + 10, 2*f = 3*z - 5. Find the common denominator of 5 + 10 - (-4955)\/(-345) and (1\/48)\/(z\/98).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01356755 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-3)\/(-3)) - -1. Let j(d) = s*d + 1 + d**2 - 4*d - 4 + 1. What are the prime factors of j(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - m + 927, -199 + 61 = 4*q - 3*m + 47 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96845034.\nAnswer: 2, 3, 11, 13, 41, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2, 11, 2\/9, 39\/181?\nAnswer: 39\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (20 - 8) - -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7)\/((-415)\/(-581))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*p, -4*p + 0*j = -2*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7389 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 7*y + 8. Let a be d(-6). Suppose -5*b - 3*v = -6*v - 286, -116 = -2*b + a*v. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 6 - 2 - (-1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 11, q: 2, m: 7}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 81. Suppose 3*a = 2*d + 11 + l, -4*d = 5*a - 149. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144841\/223020 - -628\/1239. Calculate the common denominator of 131\/432 and s.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 46049*g**3 - g - 30407*g**3.\nAnswer: -76456*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -405, -617, -849, -1107, -1397, -1725?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + k - 21. Let d be w(-5). Calculate the greatest common factor of d and 294.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15062 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, 4, -3, -4, 86 in increasing order.\nAnswer: -4, -3, -2, 4, 26, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)*w**(-17)\/w*(w*w**(-7\/3))\/w**(-2\/7) assuming w is positive.\nAnswer: w**(-1621\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 2705 = 5*c - 2695, 0 = 4*n - 6*c + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*j - 11, -5*k - 15*j + 10 = -10*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/64 + -67\/192. What is the closest to f in 3, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24817 = 27*x. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t = 131*t - 282*t + 1612 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 63\/2, 276, 1\/2, -3, -2\/15, -0.04?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 25632, -1 in ascending order.\nAnswer: -9, -5, -1, 25632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlllddddddldddddd. Give prob of sequence ddl.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -4, 23, 5, -0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1941.8 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Let y(v) = 4*v**2 - v - 1. What is the remainder when n is divided by y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -521, -520, -519, -518, -517, -516?\n\"Answer: i - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 9*h**2 + h + 15. What is f(4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*n + 25, 12*n - 15*n = -3*k. Let h = 51 + -47. Solve -x + h*p = 0, k*x + 2*p = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2315 and 11\/60.\nAnswer: 27780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -17, -1, -190 in ascending order.\nAnswer: -190, -17, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*t**4*w**3 - 37*t**2*w**2 - t*w**2 + t + 35*w**3 + 2 wrt t?\nAnswer: -624*t**2*w**3 - 74*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/30 - 44*x**4\/3 - 7744*x**3\/3 - 681472*x**2\/3 - 88*x - 3. Determine m, given that k(m) = 0.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 125.0542. Round d to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24108222 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -55.8. What is the second smallest value in 3, -2\/7, j, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*v**3 + 13*v**3 + 9*v**3.\nAnswer: 19*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5797104ml in litres?\nAnswer: 0.0005797104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l**2 + 9852939912727 - 9852939912727.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 + 9*m + 11. Suppose -2*h - h = -4*l - 50, 0 = -2*h + l + 25. Let y be f(h). Is y greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 2*r**2 - 3*r**2 + 4*r**2. Let u(s) = 0*s - s + s**2 + s. Give u(m(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 25 + 15. Solve 2*j = -3*j - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 287*y**2 - 63*y - 63. Let l(s) = -18*s**2 + 4*s + 4. Let o(f) = -63*l(f) - 4*r(f). Let b(p) = -2*p - 3*p + 0*p + 20*p - 29*p. What is b(o(j))?\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -152*d - 3340. Let r be w(-22). Let f = 4 + 0. Solve 5*s = f*s - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-20)\/(-48)*6\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*d - 0*d. Let b(x) = 16*x + 48*x**2 - 9 + 0 - 26*x**d + 52. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -4*1*sqrt(133)) + 5*2*sqrt(133))\/(sqrt(378)\/(sqrt(18)\/sqrt(3))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3856160?\nAnswer: 2, 5, 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009326 rounded to four dps?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) -0.5 (b) -0.6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8 = y, 3*q - 2*y = -5*y + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 21. Suppose -2*u = 13 + 7. What is the tens digit of a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = c + 3*o - 4, -3*o - 20 = -5*c. Suppose u = c + 77. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/504 - 4*y**7\/105 - 7*y**6\/90 + 2*y**5\/15 + 13*y**4\/36 + 31*y**2 - 3. Determine a, given that j(a) = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n*n)**(-3\/13)*n**(-4)\/(n*n\/((n*n*(n*n**(-13\/2))\/n*n*n)\/n*n)) assuming n is positive.\nAnswer: n**(-227\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -314. Suppose l - 47 = -n. Let x = -93 - n. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 22*t - 2*t in the form r*t + y and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12365 is divided by 12364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 6*n - 8. What is the smallest common multiple of d(2) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 158.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*1\/4*2. Let u = 2.8 - 2.65. Let q = u + 0.35. What is the closest to t in 0.2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*v - 1881, -2*p = -3*v + 6*v - 1249. What are the prime factors of p?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*y - 1571261 = -227506 + 7955042. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f. Let z(m) = m - 1029. What is d(z(j))?\nAnswer: -4*j + 4116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54518832 by -18.\nAnswer: -3028824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -5.1. Let p = 93519 - 374079\/4. Which is the nearest to p? (a) h (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a + 0*a**2 - 2 + 1\/2*a**4 + 0*a**3. Determine x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + 2 + -1.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14 + 1 - 71*c**2 - 15. Let v(w) = -2*w**2. What is v(k(n))?\nAnswer: -10082*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 878b + 16?\nAnswer: 87a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbz when three letters picked without replacement from btxzztttbk?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 + -2 + (26\/5 - 16))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.52 - -8. Let g = 27.92 + s. What is g rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5 + 10*o**4 - 51*o**3\/2 + 17*o**2 - 7*o\/2 = 0.\nAnswer: -7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 1 - 1)*(2 - 1 + 0 + (1 + 1 - 1)*(1 - 2 + 2) + 3 + 3 + 3) + n**3 - 3*n**3 + 4*n**3 + (-5 - 5*n**3 + 5)*(1 - 2 + 3) - 6*n**3 + 5*n**3 - 8*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-8)\/(-2)))\/(21281\/26192)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) 1\/6 (b) -8 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 + -4 + (-4 - -6) + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 7*k**2 - 7*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (sqrt(475) - (1 + sqrt(475))) + sqrt(475) + -2 + -2)**2*-5.\nAnswer: -2380 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 9*p - 6. Calculate i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v**(1\/19)*v)\/v)\/v)*v*v\/((v**28*v)\/v)*v*v*(v*v\/(v*v**(-2)))\/v*v*v*v**(-28)*v)**19 assuming v is positive.\nAnswer: v**(-856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a**2 - 4*a**2 - 4*a**2 + 12*a**2. Let b(h) = -43*h - 5. Give v(b(z)).\nAnswer: -7396*z**2 - 1720*z - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {j: 1, d: 2, k: 8, h: 2}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-112)\/(-24) - 5) + 259\/3. Suppose -3*a = i - q, -4*a = -5*i - 5*a + 444. Let r = i - 21. What is r rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a. Let d(x) be the third derivative of 0 - 96*x**2 + 5\/12*x**4 + 0*x + 0*x**3. Give d(g(v)).\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - 2*b)*(-b**4 + 0*b**4 + 0*b**4).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -43. Suppose j = -3*b - b, 3*q + 3*b = 369. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1835801*a**2\/2 + 1835793*a\/2 - 4 = 0. What is a?\nAnswer: -1, 8\/1835801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1287 and 147\/1430?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -21221204043?\nAnswer: -21221204124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1011969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*q + 91457, q - 2*x - 9644 = 8643. Let y = q - 9423. Suppose 8*w - 4*j = 4*w + y, w - 5*j - 2201 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:18 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1627 + 1461.8. What is n rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) 1\/3 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**3*f**2*i - a**3*f*i + 3*a**3*i - 15*a**2*f**2*i - 397*a*f**2 - f - 34361*i wrt f.\nAnswer: -36*a**3*i - 30*a**2*i - 794*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/6, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h**2 - 3. Let r(l) = -25418*l**2. What is q(r(w))?\nAnswer: -10983270308*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:35 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*s + 196, -3*s - 198 = -3*g + g. Suppose 5*j - j = g. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 2923140*d + 2923135.\nAnswer: 5*(d - 584627)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/378 and 17\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19824 and 1052324?\nAnswer: 12627888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 37*o**6\/60 - 13*o**5\/15 - 65*o**4\/24 + 16*o**3\/3 - 782*o**2. Find the second derivative of n(r) wrt r.\nAnswer: 444*r - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160935644124.41 plus 0?\nAnswer: -160935644124.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4. Let x(d) = 48*d**4 + 168*d**3 + 198*d**2 + 75*d + 12. Let s(r) = 3*q(r) - x(r). Factor s(g).\nAnswer: -3*g*(g + 1)*(4*g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(51)*1 - sqrt(51)*1*-1)\/((sqrt(108) - -3*sqrt(108)*-2)*-4).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*m - 72, -4*r = 4*m + 50 - 2. Let v = r - -14. Let w = 6 + v. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 11. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416 + -423. Which is the third biggest value? (a) -1 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c + 2. Let m be w(-2). Let s be (-9 - -1)*(-10794)\/336. Let j = s + -261. Sort j, 1, m in descending order.\nAnswer: 1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 17421413*n**3 - 2*n**2 - 17*n + 16070 wrt n.\nAnswer: 120*n**2 - 104528478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*w - 276 + 3348. Let v = w + 301. Which is smaller: 238 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = g - 8*a + 5*a, -8*a - 40 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 2 u when four letters picked without replacement from {o: 6, x: 1, u: 3, g: 1, p: 2}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102)*2)*-2)) + sqrt(102))\/(6*sqrt(42)\/sqrt(7)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.456? (a) 4 (b) -2\/5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(88)\/sqrt(2) + 2 + sqrt(44) + -2)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705810.\nAnswer: 2, 3, 5, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -259 + 1811\/7. Let o = 3.2 - -0.8. What is the third biggest value in o, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let b = 3 + g. Let u(l) = l - 2. Let j(k) = 1. Let c(r) = -j(r) + u(r). Determine c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, m: 3, u: 4, y: 1}. What is prob of picking 1 y and 3 m?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 49*u**2 + 259*u**6 - 38416*u**4 - 61*u**2 + 38416*u**4 wrt u.\nAnswer: 31080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052409629 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d**2 - 3*d + 1. Suppose 283*i - 297*i = -42. Determine v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j - 7. Suppose 5*n = 4*n - 34. Let y = n - -37. Let k be c(y). Solve u + 0 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 10*d - 10*d - 5*d - 16*d + 36*d - 7*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153173785*v**2 + 761637048*v wrt v.\nAnswer: 306347570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 555?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800395584 to the nearest integer?\nAnswer: 28291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-30) - (-44)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.27, -1\/11, 114?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -468 equal to -468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 66*t\/7 - 400\/7.\nAnswer: -2*(t + 8)*(t + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-95) + 145\/(137750\/(-47600))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 11*z - 14. Let f be t(-9). Solve 14 = s + 2*n, -36 + f = -3*s - 4*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1798 + 1834. What is the remainder when 191 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9*7.3168\nAnswer: 35.85232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-65)\/338*(-2)\/(-15)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-6*(-3)\/(216\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5)\/((-18)\/27*24\/(-32))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 3*b**2 - 5*b - 4. Let g be s(-4). Let v(y) be the third derivative of -y**4\/24 + 5*y**3\/3 - 6*y**2. What are the prime factors of v(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 30. Let l be c(-10). What is the common denominator of 31 and l\/(-24) + 7 + -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 - 7*v**4\/24 - v**3\/2 - 102*v**2. Let r be j(7). Put 2, 7, r in ascending order.\nAnswer: r, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:12 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 591*v**3 + 4*v**2 + 375*v?\nAnswer: 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)\/(r\/(r*r**(-2\/29)\/r)))\/(r**(-2\/13))**30 assuming r is positive.\nAnswer: r**(31505\/8671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3711 and 17581481.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 55. Calculate the greatest common factor of d and 735.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19073\/9 + 2111. Calculate the common denominator of 8 + -4 + (-26)\/(-12) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**4 - 6*b**3 - 9*b**2 + 2*b - 6. Let x(f) = f**4 - 5*f**3 - 8*f**2 + 2*f - 5. Let k(o) = 5*m(o) - 6*x(o). Let k(y) = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 66. Let c(g) = -2*g**3 + 18*g**2 + 21*g + 6. Let b be c(j). Let n = b + 2443. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547153066 minus 170242?\nAnswer: 546982824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1030, -3222, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-3 + 4 - 0) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1. Let t(z) = -z**2 - 10*z - 7. Let l be t(-9). Let a(y) = y - 2. Let q be a(l). Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose 0 = 3*m - 49 - 5. Suppose -q = -t + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.888 - -35. Round z to 2 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*9\/(-2). Let p be 21\/(-15) + (-7)\/(-5). Sort -1, -5, i, p in descending order.\nAnswer: i, p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90626 = -11758*p - 33368 - 360843 - 307831 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*r - 7*p + 28, 0 = 5*r - p + 62. What is the hundreds digit of 557*1 + (-13 - r) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/30 - 3*l**2 - 27*l. Let t(x) = -10206*x. Let w(h) = -157*h. Let a(j) = -5*t(j) + 324*w(j). Give v(a(q)).\nAnswer: -52488*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -445*p**4\/6 + 1070*p**2. Let r(h) = 3*h. Determine l(r(m)).\nAnswer: -5340*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 200.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18824*i**3 + 18862*i**3 + 18870*i**3 - 56651*i**3.\nAnswer: -95*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 50 + 68 = 0. Let r be ((30\/(-3))\/(-2))\/(-1). Sort -3, r, 5, g in increasing order.\nAnswer: r, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (11 + -3 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(208))*2.\nAnswer: 20 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrqlmaaaqtaqtmmtlqt. What is prob of sequence atq?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1280418072 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:52 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(684) + sqrt(684) + -1*sqrt(684))*3 - sqrt(684)) + 1 + 3 + sqrt(684)) + 4)**2.\nAnswer: 6048*sqrt(19) + 222400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202200200 (base 3) to base 2.\nAnswer: -10010000110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -32*s - 1845. What is t(-59)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12147175 by -127865.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 6*(-1 + -2). Let k = u + 17. Suppose -5*o + k*c + 2*c + 30 = 0, 12 = 2*o + 5*c. What is the lowest common multiple of 3 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 347?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284 + 324. Suppose -15 = 5*f - a, -2*x + 264 = 4*f. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -5*(-11)\/(110\/(-4)). Solve -20 = -v - 4*j - 2, -5*v + z*j - 25 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 8*j - 5. Let s(p) = 4*p**2 + 7*p - 6. Let k(w) = -w**3 - 3*w**2 - 36*w - 224. Let l be k(-5). What is l*s(h) - 5*t(h)?\nAnswer: -h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4879 and 2468536?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.239316 rounded to 1 decimal place?\nAnswer: -417.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 2*m)*(4 + 1 - 3) + 11*m + 8 - m - 8*m.\nAnswer: -2*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 168, 9, 4 in descending order.\nAnswer: 168, 9, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {g: 9, m: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/(-55))\/(272\/1020))\/((-2)\/20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 take away 205282698?\nAnswer: -205282513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 4*t**5\/35 - 2*t**4\/7 - 4*t**3\/21 + 4*t**2\/7 + 4. Suppose r(b) = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*t + 586 = 0, c + 3*c - 1168 = 4*t. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 bigger than 526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291100 and 32021.\nAnswer: 3202100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**3*r**3 + l**3*v - 3*l**2*r**3*v - 918*l**2*v + 2*l*r**3 - 2*l*r**2*v wrt r?\nAnswer: -54*l**3 - 18*l**2*v + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.22346 tonnes to milligrams.\nAnswer: 223460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -4\/245 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 27*u - 4*u**2 - 62 + 123 - 57. Let w be m(7). Sort w, 43, 1 in ascending order.\nAnswer: w, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150253 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 256 = -2*f - 2*z, -4*z + 504 = -4*f. Let o = 189 + f. Let p = 65 - o. Solve -p*l + 19 = 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.2, 2088, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24 - (-1 - (0 + -1)). Suppose 0 = -240*d - 315*d - 205*d + 8360. Solve d*l = -l + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 234, 350, 464, 576?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -681, -687, -693, -699, -705?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.56 - 37.56. Sort -2\/17, -1.7, x, 4 in ascending order.\nAnswer: -1.7, -2\/17, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 34211?\nAnswer: 34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5518 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/315 - 11*l**6\/180 - 2*l**5\/15 - 15*l**2 - 2*l. Factor y(x).\nAnswer: 2*x**2*(x - 12)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = -2*r + r, -2*q + 5*r + 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2460, 3592, 4724, 5856?\n\"Answer: 1132*q + 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.36408808 to 3 decimal places.\nAnswer: -10.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -29*n**8\/6720 - n**5\/30 + n**4\/24 - 9*n**2. Let v(p) be the second derivative of u(p). Differentiate v(k) with respect to k.\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 48. Suppose 2*j - 202 + 34 = 0. Calculate the highest common divisor of g and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 + 5*o**3\/3 + o**2 - 4*o + 1. Suppose 5*h = 3*h + 28. Calculate the remainder when h is divided by g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 + -0.04. Let g = 0.19 + 0.1. Let v = 0.39 - g. Which is the closest to v? (a) -2\/5 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from hprhppphrhxwprwhh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 1. Let i(z) = z + 1. Let v be i(h). List the prime factors of 30\/6 - v*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2950.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q + 1126. Let c = -904 - -539. Let f = c - q. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -3. Which is the closest to 0.3? (a) 0.1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 47.7. Let v = h - -1.3. What is the nearest to v in 2, -2\/7, -2\/33?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/8)\/(-9)*15\/(945\/14).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -45843?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 213*y**3 - 933*y**2 - 2493*y - 1350.\nAnswer: 3*(y - 6)*(y + 1)**2*(y + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 81873 = 10*n. Suppose -3*m = -3*u - n, 0 = 4*u - 2*m + 4*m + 36406. What is u rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 5 (c) -412 (d) 2 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 93519.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -3) + 0 + (0 - -3). Let o = -1.1 + 0.7. Which is the closest to q? (a) o (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/(d*d**(-15)))*d)\/d*d))\/((d\/(d**(-6\/25)\/d))\/d) assuming d is positive.\nAnswer: d**(319\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*i + 18*i**2 + i**4 + i**4 - 4 + 6 + 57*i in the form d*i**2 + w*i + a*i**3 + p + u*i**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*k**3 + 5 + k**2 + 34*k**3 + 2*k**2 - 4 in the form w*k + x*k**3 + f*k**2 + o and give x.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 0 = -2*v. What is the common denominator of (-2)\/(-3) + v\/(-18) and -51\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r + 52. What is z(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.97 + 0.03. Which is the closest to -1.2? (a) 4 (b) l (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i)\/(i**(-2)*i)*i\/(i*i**(-1\/3)*i)*i**3 assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5+-36.436727627979\nAnswer: -31.436727627979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 21.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715663116?\nAnswer: 2, 3, 7, 2839933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-12))\/(12 - 516\/8). Sort -1, w, -2\/11, -5, -3 in increasing order.\nAnswer: -5, -3, -1, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 131*r + 7 = 130*r, -4*u + 8 = 4*r. Let f(p) = p**2 - 10*p + 12. Let d be f(9). Solve -t - j + 10 = 0, 0 = -u*t + 2*j + d*j - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174755555?\nAnswer: 5, 13, 2688547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -167*s**3\/3 - s**2 - 10*s. Let n(o) = -2*o**2. Calculate x(n(y)).\nAnswer: 668*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**4\/8 + x**3\/2 + 4*x**2 - 2*x + 590. Let g = -1 - -2. What is n(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a**(-1\/5)\/a))\/a*a*a**(-5)*(a**2*a)\/a**(4\/9) assuming a is positive.\nAnswer: a**(79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:47 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -1 - 0) + -3 + 22. Suppose -2*f + 1 + 5 = 0. Let q(p) = -p**3 + 5*p**2 - 2. Let l be q(f). Is s less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140761 + -98812. List the prime factors of i.\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 1486*k - 1489*k = 3, 0 = -4*o - 5*k - 49 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10186950 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.19 - -22. Let m = -12.19 - n. Let u = m - -13. What is the second biggest value in 5\/3, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399452, 798904, 1198356?\nAnswer: 1597808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y - 14*y = 55*y - 1430 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11385 by -69.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -845a + 206?\nAnswer: -8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b + 45. Let j(r) = 211*r. Give p(j(m)).\nAnswer: 844*m + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {q: 2, b: 2, i: 7, a: 2, n: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 358708*s**2. Let u(p) = -41*p. Determine u(d(a)).\nAnswer: -14707028*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(144\/(-84)))\/(((-10)\/5)\/(-36))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -198*o + 1120. Let b be k(6). Is -82 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-1\/3)*y)\/y*y*y\/(y\/(((y**(-1\/5)\/y)\/y*y)\/y))*(y**1)**6)\/((y\/y**0*y)**(2\/65))**16 assuming y is positive.\nAnswer: y**(1069\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 - w - 4. Let i be d(0). Let o(a) = -3*a**2 - 24*a - 6. What is the remainder when o(i) is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 54*r**2 + 79*r + 2121. Calculate l(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198949766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(1088) + -1 + 5 + (sqrt(1088) + 2 + -5)*1)*-5*6)**2.\nAnswer: 172800*sqrt(17) + 35254800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -558363?\nAnswer: -4\/14317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.4 (b) 268 (c) -33 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (10\/(-35) + 40\/(-7)). Suppose 4*i = -5*o - 10, 3 = 5*i + 2*o + a. Solve -3 = -3*z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -14*u + 28. Let m be 21\/28 - u\/8. Suppose o = -5*p + 19, -4*p = -5*o - 0*o - 50. Put m, 1\/7, o in decreasing order.\nAnswer: m, 1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -3\/38 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -757 - -758. Let f be -10*-4*x\/40*4. What is the highest common divisor of f and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1858*h**2 + 4121*h**2 + 1688*h**2 - 918*h**2 + 5264*h**2 to the form t*h + d + i*h**2 and give i.\nAnswer: 8297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.422*-263.\nAnswer: 110.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-140)\/44 - -3) + 1447448\/374 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3975072 and 127\/18048.\nAnswer: 15900288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 17*b**4\/4 - 15*b + 20. Differentiate m(r) wrt r.\nAnswer: 51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3107 + -3102. Which is the fourth smallest value? (a) l (b) -103 (c) 1 (d) 2\/9 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 18*s**3 - 14*s**3 + (-4*s**3 + 3*s**3 - s**3)*(-1 + 6 - 4).\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 852016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 177719.25 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 154\/(-10) - 6\/(-15). Let g = 23 + l. 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 the second smallest value in 4, 5, 1.206, -2\/49, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:43 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 186*j**3 - 181*j**3 - j + 2 - 2*j**2. Let f(u) = 20*u**3 - 9*u**2 + 9*u + 9. Determine -9*b(s) + 2*f(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -106*m - 24. Let v(a) = 14*a + 1. Let r(u) = n(u) + 8*v(u). Calculate r(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*d**2 - 8*d**5 - 11*d**5 + 7*d**2 + 3*d**5 wrt d.\nAnswer: -960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1335*n**3*z**3 + 7389*n**3 + 15*n**2*z**3 - n*z**2 + 52*z**3 + 40*z wrt z?\nAnswer: -8010*n**3 + 90*n**2 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 - 990*k**2 - 1083*k + 357390 = 0.\nAnswer: -19, 19, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18495247?\nAnswer: 457, 40471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4538.578129 from -145771.\nAnswer: -150309.578129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2583627791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 95\/(-114)*(-6 - 0). Suppose -2*z = d*b - 4*z - 74, 5*z + 66 = 4*b. What is the remainder when 125 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694590207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**9*u)*u*u*u**(-5\/4)*u*u)\/(u**(2\/31)*u**(1\/8)))**13 assuming u is positive.\nAnswer: u**(-20761\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2308 = 7034. List the prime factors of b.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 3.93. Round o to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(24) + sqrt(864))\/sqrt(12))**2 - (-1*sqrt(20))\/sqrt(10).\nAnswer: 2*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14202160 divided by 25361?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/(-15) - 3)\/(14 + -13). Which is the nearest to -6? (a) u (b) 0.3 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13001 - 43?\nAnswer: -13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -739*k**5 + 167*k + 1.\nAnswer: -14780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101001001010010 (base 2) to base 3.\nAnswer: 102001121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 7. Let z(s) = -s**2 + 3*s - 12. Let q be z(5). Calculate the remainder when c(q) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) -4 (d) 4.616 (e) 0.1 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002121000 (base 3) to base 5.\nAnswer: -3422224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = 0, 3*n = 4*y + 26 - 29. Let p(w) = 3*w - 14. Calculate p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11)**(-2\/29)\/(z\/(((z**(7\/5)\/z)\/z*z)\/z))**(1\/8) assuming z is positive.\nAnswer: z**(-139\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 69, 177, 329, 525, 765, 1049?\n\"Answer: 22*s**2 - 2*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20300 (base 4) to base 9\nAnswer: -682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 4. Let v be f(-2). Suppose -v*r + 3 = k - 4*r, -r = 4*k - 12. Suppose -u - 140 = -k*j, 5*u + 4 = -21. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - f**3 + 5103 + 5102 + 5112 - 15327 + 2*f as w + s*f**3 + o*f + j*f**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/4 - 2*m**3 - 3*m**2\/2 + 9*m + 7. Let j be n(-4). Let c = j + 9. Sort -1, c, -7 in ascending order.\nAnswer: -7, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(612) - (sqrt(612) + -1))*5)**2*-3.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 21, -5 in descending order.\nAnswer: 21, 2\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-7 + 2) - -4) + -4. Let x(u) = 8*u - 17*u - 18*u - o*u + 22. List the prime factors of x(-4).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199177 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97019 is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (5 + -2) - (9 + -48 - 2)) + -6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-62) - 498\/133796*(22144\/(-24))\/(-4)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:55 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 53. Let r be q(-8). Let w = 10 + -4. Is r != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2714 (b) -78 (c) -1 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:24 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.3. Let x = 95 + -75. Let c be ((-4)\/x)\/(1\/((-10)\/(-6))). Put 4\/9, 3, u, c in decreasing order.\nAnswer: 3, 4\/9, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3607, 7194, 10783, 14374, 17967?\n\"Answer: a**2 + 3584*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442862?\nAnswer: 2, 7, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/2))\/n*n*(n\/n**14)\/n)\/(n**(-3))**(-3) assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from mmmmqmmmqqq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 7:48 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j + 2. Is 14 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((176\/33)\/8)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(14\/5)\/(f\/(f**21\/f))*(f*f**(1\/55))\/(f*f*f**(-8\/3)*f*f*f*f) assuming f is positive.\nAnswer: f**(643\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69200 + -20392. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 6) in base 11?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = 7*b + 352 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o + 9. Let u be c(0). Suppose 1 = 2*f - u. What is the units digit of f*7*(-3)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 16 + 299*m - 34 to the form n*m + s and give n.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + ((-14)\/(-4) - 2). Which is the second biggest value? (a) 0.3 (b) 3 (c) s (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 + 119*i - 1\/8*i**4 + 3\/2*i**3 - 6*i**2. Factor u(b).\nAnswer: -3*(b - 4)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15368 + 1368. Round p to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(-1 + sqrt(1008) + sqrt(1008)) + -3)**2.\nAnswer: -2592*sqrt(7) + 145231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 523 = -552. Let j = n + 326. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*m - 7 = 288*m. Solve -4*u = -5*g + m, 3*u = -u - 4*g - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, c: 2, k: 4, h: 1}. What is prob of sequence ku?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 822155994 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(2 - 1 + 2)*(1879 - 79*z - 1879)*(-1 + 1 - z).\nAnswer: 237*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 421219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39187 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185438029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -0.1 (c) -1\/7 (d) -1\/56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1093*d - 5462. Give q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 + (-10 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1\/82, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -10 - 20) + 10 + -32\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21*(-9)\/(-6)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -109. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 3*h**2 - 3*h + 1. Suppose f + 2 = o, 4*o = 3*f - 0 + 11. Let a(w) = w**2 + w - 1. Calculate f*a(z) + s(z).\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 37. Let h(m) = 6*m + 50. Let x be h(n). Solve -5*w = 17 + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1593, 4335, 8917, 15345, 23625, 33763, 45765?\n\"Answer: f**3 + 914*f**2 - 7*f + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317132 divided by -25.\nAnswer: -317132\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16872755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 13*h - 64. Let g be c(-4). Find the first derivative of -12 - 15*z - g*z**2 - 47 + 1 + 7*z wrt z.\nAnswer: -8*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52684418*w**3 + w**2 + 129356522*w - 1 wrt w?\nAnswer: 316106508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 2*t + 21. Let f be k(9). Let n = 338 - f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let f(o) = 551289*o**2. Give f(r(l)).\nAnswer: 8820624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3014854 - -4?\nAnswer: 3014858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-3*4\/(-3). Suppose -x = -t*x + 237. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - b - 11 = 0, k + 12 = -b - b. Let r be (-4)\/k*(-30)\/(-186). Let s = 4288\/35581 + -6\/2093. Put r, -0.5, s in descending order.\nAnswer: s, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - (-1 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32416 + -32414. Let r = 0.37 + -0.02. Let t = 0.05 + r. Which is the third biggest value? (a) i (b) -0.06 (c) t (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 4*o - 3. Let c be k(2). Let r be (4\/(-8*c))\/(2\/(-16)). Solve -r*w + j = 16, -4*w + 0*w - 8 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k**2 + 6*k + 3. Let t(g) = 3*g**2 + 2*g + 1. Calculate 2*j(w) - 7*t(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194982, 390428, 586342, 782724, 979574, 1176892, 1374678?\nAnswer: 1572932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-34650)\/(-28))\/55)\/((-34)\/(-4) + 51\/34)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 37 = 1093. Let p = -4 + 8. Suppose p*s = 36 + y. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -13 + 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - 51 - (-11 - -20 - 19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/41 + 37\/82. What is the nearest to 1 in 4, g, -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-10))*w*w**(-1\/4)*((w*w*(w\/(((w*w\/(w\/((w*(w\/(w*w**1))\/w)\/w)))\/w)\/w))\/w*w)\/w)\/w**(-8))**26 assuming w is positive.\nAnswer: w**(1235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/5))*i)**(2\/15)*((i\/(i*i**1))\/i)**(3\/25) assuming i is positive.\nAnswer: i**(-4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183.65 - 143.8345. Let o = -0.0155 + a. What is o rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 55*u + 774. Calculate the remainder when s(-26) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + (-1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33\/8882, -148 in decreasing order.\nAnswer: 5, 33\/8882, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11485 - 250*n**2 + 11478 - 22963.\nAnswer: -250*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*351558\/35140. Let g = 39\/502 - a. Let v = -59\/28 - g. Calculate the common denominator of 19\/8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 20*y + 55. Let p be a(-17). What is the common denominator of p\/((-5)\/5) - 186\/(-50) and 47\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 3.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68470307173*x**2 + 31*x**3 + 68470307173*x**2.\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*i - 3 - 7, -5*i = -2*j - 25. Suppose 5*t = 21 - 6. Suppose -24 = -3*g - 3*k, k = -t*g - 3*k + 22. Solve -x + 3*x + g = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11648597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(242) + -1 + 5 + -6*(-2 + sqrt(242)) + sqrt(242) + 5)**2*-3 + -4.\nAnswer: -13807 + 7128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - y + 21*p = -16*p + 34*p + 96, -5*y - 5*p + 125 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1054 smaller than -1078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -323 or -315?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i + 4 + 0 + 78*i + 50*i.\nAnswer: 178*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (-58 + 9)) + 44 + 0 + 3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1298 (c) 0.3 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1174270*l + 601. Is z(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 3652263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-3 + -36 + -3 + 9 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7141\/930 + 24\/155. Suppose 0 = 3*m - c + 5590, 3*c = 2*m - c + 3740. Let u = m + 12989\/7. What is the common denominator of u and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 2:03 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -78, -76, -74?\n\"Answer: 2*c - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -17. Suppose 2*i + q*i = 28. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.1 (b) -26 (c) 5\/2 (d) -20 (e) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 116. Let y(n) = -254*n - 29. What is the units digit of y(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 1, j: 2, r: 8, c: 1, q: 2}. What is prob of sequence cwqj?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 3)*(30*b - 33*b + 2*b - 163).\nAnswer: -6*b - 978","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 535 + -401. What is the lowest common multiple of o and 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*1\/6 - (-6)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/11)\/(-3) - (-50)\/33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnqmqqqmqm. Give prob of sequence mn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 + 7*s**5 - 65 + s**5 + 0 + 0 + (s - 3*s + 0*s)*(0*s**4 - 3*s**4 + 4*s**4) + 3*s**5 + s**5 + 0*s**5 + s**2 - s**5 - s**2.\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/1730320 and 16\/503.\nAnswer: 1730320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 27\/(-6))*-2. Let o = 10 + v. Find the first derivative of -4*y - o*y**3 - 1 + 4*y wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1331684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3 - 3)*((-4 + 4 + f)*(1 - 3 - 1) - 52*f - 38*f + 38*f)*(-5*f + 0 + 3*f + 1) to z*f + u*f**3 + a + x*f**2 and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = 5*z - 5*x, -2*x - 4 = -5*z. Let y(g) = -3 + 10*g + z - 2 - 466*g**2 + 465*g**2. What is y(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031 - -11111?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 939*b**3*n - 255*b**2*n wrt b?\nAnswer: 5634*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -53 (c) 0 (d) 0.1 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(14\/27)*2. Let x be 4*(-4 + r\/6). Suppose 4*b = -4*h + 492, -345 = -3*h + x*b + b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/84)\/((-14)\/12)*28\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277 + 0*q**2 + 323 - q**2)*(-2*q**3 - 1 + 1) - 4*q**5 + q**5 + 2*q**5.\nAnswer: q**5 - 92*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Calculate the smallest common multiple of r\/(-3) + (-70)\/(-15) and (0 + 1)\/(4\/88).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 843782.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v - 1. Suppose -2*c - 19*c = 4*c - 100. Let p(w) be the first derivative of 5*w**4\/4 + 2*w**3\/3 + 2*w**2 - 4*w + 3. Give c*i(y) - p(y).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 112?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-1 + sqrt(1100))*-4 + 4)*5 + -2)**2.\nAnswer: -76000*sqrt(11) + 2207220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - -137. Calculate the highest common factor of p and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354193.\nAnswer: 7, 50599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.4 (c) 161034 (d) -3 (e) -2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 2076*w**2 + 120381*w + 122460.\nAnswer: 3*(w - 628)*(w - 65)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12131 (base 4) to base 6\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3260.036 litres?\nAnswer: 3260036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*w - 34, -4*w = -2*w + p - 16. Solve 7*q = 5*q - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1392 and (3\/(-2)*52\/3120)\/((-4)\/(-310))?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90885*v**3 + 90888*v**3 + 3 - 1157*v + 1157*v - 3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1.916?\nAnswer: 1.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003221311 (base 4) to base 16.\nAnswer: 143a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/1265 + -1277\/3795. Which is the closest to 0? (a) -209 (b) 1\/5 (c) r (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1009, -2028, -3055, -4090, -5133, -6184, -7243?\n\"Answer: -4*y**2 - 1007*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109682872 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-139)\/48 - ((-153)\/357 + (-200)\/105) and -31\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (((-3762)\/76)\/3 - 10)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwhz when four letters picked without replacement from lhplwwlslzzp?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 6779415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2, 33\/7, -4, 122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359 - 359 + 414*b**2 + 365*b**2.\nAnswer: 779*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123349916 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000211982621 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 18*t - 10*t - 29 as o + l*t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2. Let f be s(-4). Suppose 25 = f*c - 5*c. Suppose -5*n + 0 = -c. Solve 2*q + 13 = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16*6\/96)\/((-9)\/(-1))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 82 = 3*l. Suppose 4*z - 7 + 41 = 2*s, 35 = 3*s + 2*z. What is the remainder when l is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3033043938?\nAnswer: 2, 3, 29, 101, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13435 or 13434?\nAnswer: 13434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by -112612.\nAnswer: 88\/28153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14423488.14 rounded to the nearest one hundred?\nAnswer: -14423500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let o(w) = -112*w**2 + 7393*w. Calculate o(m(p)).\nAnswer: -112*p**2 + 7393*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*d + 9 = -1, -2 = d. Suppose k*s - 4*s + 196 = 0. Suppose -5*w = 4*u - 37, -3*u + w + 42 = -0*w. What is the remainder when s is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 34, -1 in increasing order.\nAnswer: -1, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1308*v + 29. Let g(k) = 9*k + 50. Let n be g(-6). Is i(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 5, t: 1, k: 4}. What is prob of picking 1 d and 1 k?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1038222 or -15573344\/15?\nAnswer: -1038222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357669.\nAnswer: 3, 13, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -996 divided by 869.\nAnswer: -996\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-204)\/1224)\/((-2)\/484644) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + 0*x)*(-30 + 15 + 30 + 2*x).\nAnswer: 2*x**2 + 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6231246*n**2*x - 7127848*n**2 - n*x**2 wrt x?\nAnswer: 6231246*n**2 - 2*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-66 + 17 - -41).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2082239*f**2. Let q(s) = 165*s**2 + 2. Give q(l(v)).\nAnswer: 715393676764965*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 3, q: 5}. What is prob of picking 2 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 + 578*q**2 - 313*q + 6. Let m(r) = 9*r**3 - 579*r**2 + 313*r - 8. Let z(l) = 3*m(l) + 4*p(l). Find the second derivative of z(k) wrt k.\nAnswer: 18*k + 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 + 24 = -2*b, -3*u - 43 = 4*b. Let y be 10\/3*(-13 - b). Let k = y - -29. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2569281 divided by -3.\nAnswer: 856427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1005*o**4 - 103*o**2 + 1 wrt o?\nAnswer: -24120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t + 52579 + 45362 = 1225*t + 32807 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 4*z)*(0 - 1 + 2 + (12 - 3 - 2)*(2 - 7 + 2) + 2 - 7 - 1).\nAnswer: -78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420*f + 55960 = 20824 - 54404 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -162181 not equal to -161533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -99. Suppose -3*p = -4*y + 415, y - 4*p - 82 = 38. What is the greatest common divisor of u and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196740.00316 less than -6?\nAnswer: -1196746.00316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/30*5)\/((-104)\/(-96))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose -d - 12 = -2*p. Let v(z) = -z**3 - 9*z**2 - 11*z - 8. Let n be v(-8). Solve p*j - n = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4242075297 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 170.2.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - x - 17 = -4*x, -5*x + 15 = 0. Solve -2*u - 12 = -w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 35 = 7. Let j be -1 + u\/(-16) + (-322)\/112. Let s be (6 + j)*138\/18. Is s greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-44)\/55)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 536 = -n, -4*n + t = -3*n - 527. Let s = n - 303. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.396141 to 1 decimal place.\nAnswer: -99.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (1 - 2) - (-8 + 33 + -20 - 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 808 - 280. Calculate the greatest common divisor of y and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -4) + -1 + (-2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1686934795 and 3305.\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 - 25. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -908*d**3\/3 + 901*d**2\/2 - 734. What is the second derivative of y(b) wrt b?\nAnswer: -1816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 9*f**2 - 33*f + 81. What is the thousands digit of h(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 49 - ((0 - -1) + -5 + 11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2)\/2*0. Suppose -4*j + 140 = -k*j. Calculate the remainder when j is divided by 2 + -1*3 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -0.09?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.903 + 0.053. Let y = 0.15 - i. Let t be -1 - 4\/((-4)\/(-3)). What is the biggest value in y, 6, t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 6*u + 5. Let q be k(6). Let a(v) = -33*v - 27. Let b(s) = 71 - 109 + 17*s + 52. Let l(r) = q*a(r) + 9*b(r). Differentiate l(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4133931 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1337, -1336, -1335, -1334?\n\"Answer: n - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6981 = -o - 6711. What is the least common multiple of o and 300?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -0.03, -2, -2\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -181\/55337 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eri when three letters picked without replacement from {k: 1, i: 1, t: 1, r: 1, f: 1, e: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1588*r**2 + 455769*r + 3724. What is b(-287)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 344*u**4 - 1092*u**3 - 2104*u**2 + 2848*u = 0. What is u?\nAnswer: -89, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 25*l - 328. Let s be f(-9). Let u = -544 - s. Calculate the greatest common factor of u and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4534, 4539, 4544?\n\"Answer: 5*b + 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30301322 (base 4) to base 11.\nAnswer: 36368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/(((-42)\/(-35))\/(8\/5)). Suppose d*i + 132 = 102*i. Solve -2*g - 3*z = -i, -g + z + 4*z = 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829213?\nAnswer: 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*p + 240 - 296. Factor 2\/11*a**3 + 18\/11 + 14\/11*a**p + 30\/11*a.\nAnswer: 2*(a + 1)*(a + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.067 in 1\/26, 4, -3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiei when four letters picked without replacement from {i: 6, e: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k**(19\/2) assuming k is positive.\nAnswer: k**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + i + 641 = 0, -631 = -4*m + 8*m - i. Let o = 162 + m. Suppose c = 5*x + 20, 5*c = 5*x - x + 16. Solve c = f - 0*f - o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 - 225?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/4, 8, 3, 0.063, 654?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30179544 and 18957.\nAnswer: 30179544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*g + 13406 + 5511 = -399 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319195 + -686627. Let s = -256949 - p. Suppose s + 381517 = 4*i. What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 - 2*j. Let i(v) = 8*v**3 - 16*v**2 + 26*v. Let o(w) = -2*i(w) - 18*n(w). Let o(c) = 0. What is c?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/5 - 20*w**2. Let j(f) = 2*f**2. Calculate r(j(k)).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + sqrt(5) + (sqrt(45)*1)\/sqrt(9) + 0)*3*-3.\nAnswer: -27*sqrt(5) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1754 = -1758. Sort -4, m, -34, -11 in ascending order.\nAnswer: -34, -11, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 757 + -519. Sort o, 3\/4, 2 in descending order.\nAnswer: o, 2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: d3 (base 15) to base 14\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 29 = 5. Let h(f) = 2*f - 13. Let y(r) = 8*r - 51. Let n(t) = -9*h(t) + 2*y(t). Let z(c) = c - 7. Give q*n(u) - 13*z(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h + 12. Let m(r) = 5*r - 2. Let c(l) = -16*m(l) - 3*n(l). Suppose -4 = -3*s + 11. Suppose -2*y + 5*y + s*k = 1, 0 = y + 4*k - 5. Calculate c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 330 - 60352?\nAnswer: -60022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1205 + 668452.\nAnswer: 668451.8795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 442\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 2 = 29*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g**3 + 2*g + 2. Let d(c) = 279*c**3 - 63*c - 63. Determine -189*b(n) - 6*d(n).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/8, -2, 0, -250, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*1*sqrt(24)\/(4*sqrt(128)))**2*-5.\nAnswer: -32375\/256 - 125*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89946202994 and 4?\nAnswer: 89946202990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*j - j - 3*j)*(176*j + 205 - 205)*(-j + 1 - 1).\nAnswer: -704*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 1. Let n(m) = 2*m**2 + 2*m + 3. Let y be 26\/22 + (-540)\/2970. Give y*n(h) + 3*f(h).\nAnswer: 5*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 2 - 2 + 3*k - 1 + 1 + (-k + 2*k + k)*(-2 + 3 + 1) + 28*k + k + k.\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -17893571 and -17893569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3015 and 788121.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5 + 7. Let u(j) be the first derivative of j**4\/4 + 2*j**3 + 7*j**2\/2 + 5*j + 1. Give u(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-13))\/w**(2\/25))**(-3\/22)\/((w*w**(-1\/3))**(9\/8))**(-4\/23) assuming w is positive.\nAnswer: w**(11244\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 0*i**5 + 0*i**5 + (-i + 3*i - 3*i)*(-i + i - 2*i**4) + 2*i**5 + i**3 - i**3 - 29938*i + 29938*i + 156*i**5 + 464*i**5.\nAnswer: 623*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 2*o + 3. Let z = 119 + o. Let t = z - 61. Does t = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905153738 to the power of 1\/2, to the nearest integer?\nAnswer: 43648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h**2 - 8*h. Let r be q(7). Let l = -1651 - -8289\/5. Find the common denominator of ((-4)\/(-10))\/(r\/(-1295)) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278649 is divided by 7332.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(50\/(-360)*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21453 - -31482. Does 109 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*w - 3*o + 69, 3*o = 5*w - 97. Let i(p) = -p**2 - 12*p - 1. Let j be i(-5). Calculate the highest common divisor of w and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 35) + 2 - (-5 + -9 + 24)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - 3 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/406)\/(-6*(-1)\/8)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-2 - 4 + 1)*(-2*c + 2*c - 8*c).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:50 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -12.09?\nAnswer: -16.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let w(y) be the third derivative of -25*y**4\/4 + 1293*y**2. Calculate t(w(c)).\nAnswer: 300*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/7*b + 1\/7*b**2.\nAnswer: b*(b + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147311380.\nAnswer: 2, 5, 31, 53, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 + 15367747?\nAnswer: 15367666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 730 - 725. Solve -u = -o + 4*u + 29, 4*o = k*u + 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let i(q) = q**3 + 6*q**2 - 2*q - 7. Let j be i(-5). Calculate the highest common divisor of j and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -2*v**7\/21 + 2*v**6\/5 + 2*v**5 + 2*v**4\/3 - 6*v**3 - 10*v**2 + 52*v. Solve s(w) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/121190 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*a = 176*a - 84 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6025772ng?\nAnswer: 0.0006025772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 176\/5. Is y less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -12. Suppose 0 = -s*o + 7*o. Let y = 641 + -637. Sort -2, y, o.\nAnswer: -2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -j - 2*h, 0*h + 4*h + 151 = 5*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 5*j - f - 3 + 57 + 9, 0 = 2*j + 4*f + 84 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746 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: Suppose 0*p - 28 = -p. Suppose 0 = 5*k - 5*d - p + 3, -4*k = -5*d - 25. Suppose k = -5*q + 47 + 93. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49\/14 + (-6)\/4. Suppose 5*h - t*b + 5 = 0, 3*b = -5*h + b + 15. Is h*(-298)\/4*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264692 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2270.369 nanoseconds to microseconds.\nAnswer: 2.270369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + o - 31)*(4*o**3 - 2*o**3 + 0*o**3)*(-5 + 2 + 4) + o**4 + 7*o**4 - 3*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106368 is divided by 1457.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-10))\/((-36)\/(-30)). Factor -2\/3*r + 1\/2 + y*r**2.\nAnswer: (r - 3)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 - 3) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*x + 10 = 0, 5*x - 46 = 11*k + 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*c - 11*c**3 - 391*c - 393*c.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*w + 4*b, -b - 2 = 3. Let o be (-247)\/3 - 60\/90. Let z = 178 + o. Calculate the remainder when z is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -82. What is the tens digit of 136\/(-6)*n\/(-28)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7316 to 2 decimal places.\nAnswer: -2.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 465\/37249 or 1?\nAnswer: 465\/37249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i. Let z(f) = -14*f + 285 - 285. Calculate z(k(v)).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10607, -42367, -95311, -169439, -264751, -381247?\nAnswer: -518927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 62*z - 418. Let k be i(16). Is 577 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667790 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6122682773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 - 6 = 0. What is the closest to -2\/5 in 2\/21, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 40, -148, -460, -890, -1432, -2080, -2828?\n\"Answer: y**3 - 71*y**2 + 148*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u - 3075*u**3 - 80*u + 3076*u**3.\nAnswer: u**3 - 64*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10420 + -2273. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -r - 33 + 3228, 2*u = 5*r - 15975. Calculate the highest common divisor of 71 and r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -1129972.\nAnswer: -903977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*u = 5 + 11, 0 = -2*c + 4*u + 12. Let l be (-2)\/4 + 66\/4. Let b be 3\/2*l\/6. Solve b*n = -5*s + 11, -6 = c*s + 5*n - 6*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 660132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m = -72 - 138 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1471 + 1467.6. Which is the third smallest value? (a) 4\/23 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = a - 1, -3*a + 3 = 5*i. Suppose 3*h - 4*h - 3*u + 7 = 0, 2*h - i*u + 13 = 0. Let d be ((-5)\/h)\/(130\/20). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*n**3 - 2021*n**3 + 3398*n**3.\nAnswer: 1706*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/24 + o**2. Suppose 2*x = -10, -6*a = -5*a + 5*x + 10. Suppose 75 = 30*v - a*v. What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evee when four letters picked without replacement from llelevlve?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 2 + -4 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/103734 and -133\/2034.\nAnswer: 103734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*i - 670*i + 189*i + 289*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/10220511?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7656 - -7776.79. Let m = -393.51 - w. Let t = -550 - m. Round t to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105 + 232 + 659*b**2 - 3*b - 119 - 167 wrt b.\nAnswer: 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123467 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/180 + 43*a**5\/45 + 163*a**4\/12 + 80*a**3 + 4*a**2 + 2*a - 268. Solve w(k) = 0.\nAnswer: -80, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13584.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/(21\/189*-26)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353886915.\nAnswer: 3, 5, 389, 60649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 + 23586*z**3 - 417059396*z**2 - 17530365944*z\/3.\nAnswer: -z*(z - 35386)**2*(z + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069701595?\nAnswer: 5, 23, 9301753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-68)\/(-408) + 11*1\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 371*h**3 - h. Let a be s(-1). Let k be 20\/(2 - (-739)\/a). Round k to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23970832 to the power of 1\/2, to the nearest integer?\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-113772)\/(-2) + -356 + 369.\nAnswer: 17, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.176 - -0.3.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26685, 53370, 80055, 106740, 133425, 160110?\nAnswer: 186795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165771480 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1\/2*q**4 + 2*q - 3\/2*q**2 - q**3 = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i\/(i**1\/i*i)*i\/(i*i\/((i*i*i\/i**5)\/i))*i*i**(-2)*i)\/((i**1\/i)**11*(i*i*i*i**7)\/(i*i\/(i**7\/i)*i)) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 480.1 + -73.1. Let i = 181 - f. Which is the biggest value? (a) 0.2 (b) i (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/28 + (4282\/14 - -12). Calculate the highest common divisor of 162 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 - 18*n + 85. Calculate o(8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = j, 4*j = 14*g - 11*g + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 4*b + 7. Let w be s(5). Solve -w*m + 27 = 5*d + 2*m, 5*d - 18 = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*o - 21 = 0, -4*o - o + 20 = 0. Let f be 9\/2 - t\/6. Let k be ((-8)\/50)\/((-2)\/5). Which is the nearest to -2? (a) f (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - p = 0, -2*m - 4*p = 30. Let i(d) = 12*d - 15. Let k(n) = -7*n + 7. Let j(h) = m*k(h) - 3*i(h). Give j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3604 - 9090336.097.\nAnswer: -9086732.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 11)*(-1070)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/40 - 16\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230.5 - -289. Round i to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10505 and -35?\nAnswer: -367675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 8*y**2 + 19*y - 41. Determine g(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + 284. Let s = 335.99733 - b. Round s to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*f - 2792 = -98 + 969 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) + sqrt(4235) + (sqrt(4235) + -2*sqrt(4235) - sqrt(4235)))\/sqrt(5)*2*-1)**2 - ((sqrt(567) + -1)**2 + sqrt(21)\/sqrt(12) + 4).\nAnswer: -572 + 35*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0688341 rounded to four dps?\nAnswer: 0.0688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438267 and 1668?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*v + 8, -87*u - 26 = -92*u + 3*v. Solve 2*m - u*s = 8, -3*m - 4*s = 37 - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f + 70 = 0. Suppose i + 3 = 2*w, -5*w = -0*i + i - 18. Suppose 0 = -i*a + 5*a - 52. Calculate the remainder when a is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1762110*s**2 + 1771957*s**2 + s**5 - 314*s**6 + 3*s**4 + 1273*s**6 wrt s.\nAnswer: 115080*s**3 + 60*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-15)\/(-198)) + 2. Let s = 189 + -65. Let l = d + s. What is the highest common divisor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + 13*a**4\/24 + 4*a**3\/3 - 3*a**2. Let z(t) = -t**3 + t**2 + 3*t + 2. Let q be z(-2). Does 14 divide f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 28922655?\nAnswer: 4859006040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + (-54)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Let i = -0.7 - -0.2. Let s = 0.25436 + -0.05436. Which is the biggest value? (a) s (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 4*o**2 - 943*o - 1880. Determine l(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 8*h + 12. Let s(a) = a**2 - 5*a - 8. Let x be s(7). Let q be b(x). Let c = 89 - 83. Solve -5*v - 3*n = q, 2 - c = -3*v - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 6*n - 2. Let w be f(5). Let m = -1 + w. Let h(p) = p**m - p**2 + p**2. Let d(q) = -4*q. What is d(h(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - -2582842 - -2. Let h = 1132845 - c. What is h rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -13 - 1 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75904 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -493, -989, -1485?\n\"Answer: -496*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 49919 = 5*q, -5*q - v = 2353 - 52267. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/33)\/((-1)\/18). Let k(g) = -4*g**3 + 12*g**2 - 1. Let b(h) = -3*h**3 + 11*h**2 + h. Let z(y) = 5*b(y) - 4*k(y). Calculate z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.8 and 4.27045.\nAnswer: -135.80031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01745939762 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -217? (a) 4 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 316?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1, -5, 10, 5.\nAnswer: -5, 3\/4, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:18 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 68, 97, 126?\n\"Answer: 29*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:50 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 6\/615787 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*n - 17, 0 = 5*n - 3 + 28. Suppose 4 = -4*j + q*j. Let y be (-8)\/(-2)*(18 - (j + 2)). Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -754.7 - -676. Let o = -79 - l. Let m = 0.7 + o. What is the second smallest value in m, 4, 0.04?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14397.99959905 + -14398. What is v rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:25 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*r + 7, s - 5 = 4*r + 4*s. Let m = 712 - 713. What is the third smallest value in r, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -107782\nAnswer: -32334.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 1. Let k(x) = 4*x**2 + 3. Let l(w) = -2*k(w) - 6*p(w). Let h(o) = -43*o. Give l(h(y)).\nAnswer: -3698*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(832))**2*-3.\nAnswer: -2495 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -84*d. Let s(j) = 5963*j. Calculate -356*m(p) - 5*s(p).\nAnswer: 89*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711543, 1423079, 2134615, 2846151, 3557687, 4269223?\nAnswer: 4980759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1*(-14)\/(-6). Suppose -3*c - 1 = -n. Suppose -a - 876 = -5*y + 2*a, -c*a + 6 = 0. List the prime factors of y.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -325?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**2*v**2 + 1455577*n**2 + n*v + 5072*v**2 + 2*v - 78 wrt n.\nAnswer: 2*n*v**2 + 2911154*n + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:30 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/2)*t*t**0*t*t*t**(3\/11)\/t*t*t**(2\/37))**(3\/31) assuming t is positive.\nAnswer: t**(6903\/25234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*n - 329*n + 249. Suppose -n - 301 = -4*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337.23 - -6.77. Let p = r - 343.96. Round p to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276*k - 385?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21825022 divided by 21825022?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/((-252)\/(-63))*(-3)\/(-3*33).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 9618.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -702 + 3508\/5. Which is the closest to u? (a) 0.4 (b) -4 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, -3016, -3\/2, 351?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1\/1 - 0. Let c(j) = 7*j + 9. Let s(b) = 4*b + 1. Let r(h) = -7*h - 2. Let p(a) = 3*r(a) + 5*s(a). Give o*c(l) - 6*p(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343560422?\nAnswer: 2, 59, 571, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o + 6. Let j(c) = -c + 4. Calculate the remainder when ((-7)\/3 - -2) + (-1640)\/(-60) is divided by j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/324*-284*21*34\/119?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 450, -5 in descending order.\nAnswer: 450, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (55 - 2)\/((-15050)\/(-836) - 18).\nAnswer: 2, 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18374 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 4*k)*(-126 - 348 - 145 + 84).\nAnswer: 535*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-476)\/(-12) + 1\/(-1). Let u = x - 39. Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:15 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13186820 to the power of 1\/2, to the nearest integer?\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11245 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28267, -27942, -27401, -26644, -25671, -24482, -23077?\nAnswer: -21456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322.625us in milliseconds?\nAnswer: 7.322625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -47 + -5 + 0 + -19 + 0 + 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14 = -5*n, -4*q - 3*n = -3*q - 6. What are the prime factors of 248\/24 + (-4)\/q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 279*c - 16. Let z(r) = 56*r - 3. Calculate 2*l(i) - 11*z(i).\nAnswer: -58*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*i**4*u + 6*i**4 + 3*i - 284*u wrt i?\nAnswer: -1584*i**2*u + 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60486 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 minus 56?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*k**2 + 4 - 4 - 24*k**2 + 52*k**2 + 3 to the form i + x*k**2 + q*k and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3457.268 + 3464. Let s = 0.268 + c. What is the nearest to s in 1\/4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (493\/87)\/((-425)\/1425)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15056 + -14556. Solve l*s = 486*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.36634 or 6\/17?\nAnswer: -4.36634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -5 (b) 1651 (c) 0 (d) -3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-12)) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)*g*g**11*((g**6*g)\/g*g)\/g*(g**(5\/6)\/g)\/g assuming g is positive.\nAnswer: g**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-364) + 3\/6 - 3226\/52.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 8*v - 4*v. Let c = v + -19. Solve -1 = 2*b - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 153 - 63 = -2*r, -5*a + 2*r - 364 = 0. Let n = a - -139. Let l = 142 - n. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 3*s. Suppose -10*m - 2 = f - 6*m, -m = 0. Calculate w(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.473845 days to seconds.\nAnswer: 559340.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 45*f**5 + 70*f - 377*f**5 - 2 + 37*f**5 wrt f.\nAnswer: -5900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09205040635 rounded to six decimal places?\nAnswer: 0.09205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 15}. What is prob of picking 4 a?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 take away -1312868094404?\nAnswer: 1312868094685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fagg when four letters picked without replacement from {j: 1, a: 5, f: 4, g: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 407, 395, 383, 371, 359, 347?\n\"Answer: -12*h + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 3*y = 24. Suppose 2*n - 5 = n. Let w = n - 9. Is y greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -487, -569, -635?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.075*-47729.\nAnswer: -3579.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30687 + -7880. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*w**3 - 111*w**3 + w + 203*w**3 to the form n + f*w**3 + l*w**2 + o*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*((sqrt(40) - (sqrt(4000) - (sqrt(4000)*2 - sqrt(4000)) - sqrt(4000))) + sqrt(40))\/(sqrt(72) + 5*sqrt(72) + sqrt(72)).\nAnswer: -24*sqrt(5)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 5, -3, 41, 1, -238 in ascending order.\nAnswer: -238, -5, -3, 1, 5, 17, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/5 - 4\/(-10). Suppose 3*i + 0 - 9 = 0. Suppose 3*n + i*h - 121 = -4, 3*n - 116 = -k*h. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6660*w**4 - 2635*w?\nAnswer: -79920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - k = 148, z = 802*k - 805*k + 4 - 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -61, -89?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o - 1. Let t be w(3). Suppose 0 = -t*v, -5*g + 2*v = 99 - 374. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 23. Let q be i(-21). What is the tens digit of (q*1)\/((-43)\/(-215))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 262*w - 304*w + 836*w - 270*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 9) to base 10\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/(-55) - -4) + (-6)\/(-15)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15349 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 740 + -704. What is the remainder when 177 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, -0.2, 0.5, 5.\nAnswer: -0.53, -0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and -56\/21989.\nAnswer: 87956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 16 + 2)*(5*t + 2*t - 21*t)*(6 - 11 - 4).\nAnswer: -1512*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/58320 and -43\/478548.\nAnswer: 86138640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oumnjjjnjmnjju. What is prob of picking 2 j, 1 m, and 1 o?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -765590 rounded to the nearest 1000?\nAnswer: -766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o + 23*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7556 (base 9) in base 11?\nAnswer: 41a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:13 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2837 or 1\/24?\nAnswer: 2\/2837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -4, -0.2, 23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -g, p - 116*g + 111*g = 6842. What are the prime factors of p?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1589250*q**2 + 9*q + 54. Let z be v(-6). Round z to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by 915.\nAnswer: 39\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*-6*(-27)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 5. Let q(u) = 9*u + 21. Determine -5*q(x) + 21*v(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 42 = z, -13*z + 18*z - 270 = 3*t. Suppose z*x = 58*x - 841. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1))\/(-1)*18. Let c = 37 - b. Let v = -2 - -2. Solve v = 2*s + c + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 8*r**2 + 10*r - 2. Calculate the smallest common multiple of 11 and s(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/20 and -21\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/8 + 139\/24. Calculate the common denominator of -24\/7 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1972 - -8403. Does 109 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 4899 = 86*r. Solve -59*i + 20 = -r*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 3*b**4 - 3*b - 2*b**3 - b to z*b + i + g*b**4 + m*b**2 + p*b**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31577 - 31634.982. Let g = y - 0.018. Let w = -58 - g. Do 21 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*s - 322*s - 6126*s**3 - 320*s.\nAnswer: -6126*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 91478*w\/15 - 548652\/5.\nAnswer: -2*(w - 45721)*(w - 18)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -65. Calculate the smallest common multiple of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, h: 5, k: 4}. Give prob of sequence sj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4934223609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3659.1 + 3859. Round v to the nearest integer.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 3*p, -3 = 2*q + p + 2*p. Suppose -176 = -8*u - q*u. Find the common denominator of u and 13\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/11 - 8*j**2\/11 - 10*j\/11 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Suppose 0 = -36*s + 28*s - 8. Let j(x) = -9*x - 5. What is s*j(d) + 5*y(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -2696 (c) 2\/9 (d) 3 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073053 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 317, 316, 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -466222*i*x + 3*x + 29866 wrt i.\nAnswer: -466222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2008*m + 2020*m - 60. Let x = -31 - -32. Solve l + 1 = -4*b, -x - 2 = 3*l + m*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*f + 14. Let u = -3583231\/868 + 28899\/7. Let a = -1\/31 + u. What is the smallest value in a, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-6 - 0\/(-1)). Let o be (-3 + 2)*(2 - r). Let f = 12 + o. What is the greatest common divisor of 15 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622 - -489. List the prime factors of (-2 - (-22)\/14) + (-100605)\/z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z - z**4 - 2*z**3 - 5*z + 8*z)*(-6*z - 3*z + 4*z).\nAnswer: 5*z**5 + 10*z**4 + 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 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: b\"What is the ath term of 1284224, 10273853, 34674292, 82190945, 160529216, 277394509, 440492228, 657527777?\n\"Answer: 1284234*a**3 + a**2 - 12*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by -5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32769 * 9\nAnswer: -294921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4386 and 51406844?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.023 (b) 0 (c) 10407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2540\/41 - 62. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 19*l**2 + 17*l - 169. Let x be t(-17). Solve 0 = -17*a - x + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -183. Solve -2*r = -3*r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, r: 5}. Give prob of picking 4 s.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b = 0. Suppose 2*i + 3*i - 3*q - 85 = b, 39 = i - 5*q. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1254\/21 - (-10)\/35. Suppose p - 100 = -4*p. Calculate the greatest common factor of n and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3890184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5280 = -7*s - 1157. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282764 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 4, u: 2, d: 3, t: 1}. Give prob of sequence du.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-10)\/6). Let l = 26.64 - 23.5. Let d = -0.14 + l. Sort d, w, -0.1 in decreasing order.\nAnswer: d, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5)*(g*g**(3\/11))\/g)\/(g*g*g**(-4\/11)*g\/(g\/(g*g*g**6\/g*g)*g)) assuming g is positive.\nAnswer: g**(-504\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1254*q. Let v(k) = 81*k - 5. Give s(v(g)).\nAnswer: -101574*g + 6270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/14)\/((-4)\/12)*-77?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 187*h**2 + 2*h - 1. Let a be t(-1). What is the greatest common divisor of 69 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 31*z**2 + 13*z + 12. Let p be (-3)\/(-6)*(-2 - 0)*-31. Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 741*j. Let r(o) = 3*o. Calculate k(r(w)).\nAnswer: 2223*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25752 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 35*z - 4 = 40*z - 5, -8*z + 3 = -5*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1260638575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/216 + 19*m**5\/72 + 70*m**3\/3 + 107. Let c(l) be the third derivative of p(l). Factor c(y).\nAnswer: -5*y*(y - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2464 and 84?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.26, 0 in ascending order.\nAnswer: -0.2, 0, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 5*g = -2*s - 97, -3*s = -4*g - 96. What is the remainder when s is divided by 8*(6\/3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*v + 215*v - 110*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3 - 7*a**2\/2 + 36. Let g(d) = 5*d - 2*d**2 - 203 + 203. Determine 7*g(w) + 5*k(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31697 is divided by 219?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(68)\/sqrt(64) - (5 + -3*sqrt(2448)).\nAnswer: -8 + 145*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 20*c. Let y be f(-7). Let w = y - 333. Solve w*k - 3 = 0, q - k - 1 = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41510200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.91624 years to millennia.\nAnswer: 0.09291624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92616*d**2 - 11*d**3 - 92616*d**2 + 3*d**3 - 17*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4074, 0.4 in decreasing order.\nAnswer: 27, 0.4, -4074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11527*u**3 + 4*u**2 - 2*u + 64?\nAnswer: 69162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1 in -2\/11, 4\/7, -4, 1\/8, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z. Suppose -8*o - 105*o = -904. Let u(y) = -2*y**2 + 8*y. Determine o*m(n) - 5*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1596, -1832, -2068, -2304, -2540?\nAnswer: -2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*s + 15*s + 1296 = 0. Solve -s + 76 = 15*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264441693*t + 264441693*t - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20530098 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -40285\nAnswer: -6042.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + 12. Calculate the greatest common factor of 175 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15*k**3 + 4*k**2 + 7*k - 1. Let u(t) = 5*t**3 - t**2 - 2*t. Give 7*u(v) + 2*z(v).\nAnswer: 5*v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180621*l = 180035*l + 32230 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - m**4\/3 + 7*m**3\/6 + 3*m**2 - 3*m - 1. Calculate the remainder when i(-6) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 5*r + 2. Let f be g(-1). Let o be (231\/14)\/((-3)\/(-32)). Suppose 4*k - 10 = -2*i + o, f = 2*k - 5*i - 75. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26259931 to 3 decimal places.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/9*(-3)\/(-2). Let w(y) = 3*y**2 + 12*y + 1. Let m be w(n). What is the third derivative of -185*i**2 - 4*i**3 + 16*i**3 + m*i**2 wrt i?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 903.99999249 - 904. Round k to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-33 + 74 - 29).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 126*m**2 + 5661*m - 86. Give g(-45).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 4*n**2 - 2*n + 1. Let z be k(-2). Suppose 3*h + 64 - 25 = 0. Let b = z + h. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021884937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 212*c**3 - 4*c**2 + c + 2. What is the hundreds digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -4 - -4) + (11 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7694 - 0.2306. Sort 437, 9, o in descending order.\nAnswer: 437, 9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*s = -38, 0 = 11*s - 16*s + 10. Find the third derivative of 3*u + 158*u**2 + u**3 - 3*u - y*u**2 + 77*u**4 wrt u.\nAnswer: 1848*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3518 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 - 2. Let h(a) = 50223*a. Give r(h(l)).\nAnswer: 25223497290*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16384, -32766, -49148?\nAnswer: -65530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 24 + 2515*w + 23 + 740*w + 19 as t*w + a and give t.\nAnswer: 3255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 28*t + 65. Give r(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/57 and -80\/33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/5 or -1163930?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 8. Determine q(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f*(f**(-1\/8)\/f)\/f*f**(2\/7)*f**(-2)*f*f assuming f is positive.\nAnswer: f**(345\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15673 + -15333. What is the remainder when o is divided by 128?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 270925.7 and -1685231?\nAnswer: 1956156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 83*c - 13. Let m(x) = 27*x - 5. Give 8*m(d) - 3*o(d).\nAnswer: -33*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -13. Let g be 12*(-1)\/(4\/h). Suppose -g = -2*u - u. What is the least common multiple of 1 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14878229 and -13851.\nAnswer: 14864378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -184*t**2 - 1286*t + 45. Determine s(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3897635 and 3\/1930?\nAnswer: 7795270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -4*k**3\/3 + 3*k. Let x(u) be the third derivative of u**5\/15 - 2798*u**2. Determine x(s(c)).\nAnswer: 256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394796043?\nAnswer: 1394796043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 7:42 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.24 + 4.24. Let r = 0.1 - -0.9. Let z = 1 - r. Which is the closest to z? (a) 4\/7 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/(i*i\/(i**(1\/13)\/i*i)))\/(i**(7\/5)*i**(3\/5)) assuming i is positive.\nAnswer: i**(-268\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, y: 3}. What is prob of sequence hhyy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d - 6. Let q be n(6). Let v be (q + -3)*7\/(-3). Solve -4 = -4*p + 2*r, -4*p + 3*r + v - 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 20. Suppose -4*m + 22 = -o, 0 = -4*m + 2*o + 25 - 1. Calculate the greatest common factor of m and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3421, 6851, 10281?\nAnswer: 13711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*u + 26, 0*w + 2*u + 56 = -3*w. Calculate the least common multiple of (w\/(-35))\/((-6)\/(-21)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 22*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -65*q + 104*q - 29*q + q**2 - 57 - 77. What is c(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -96, -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-12) + 2\/(-8))\/(86\/(-210356)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3819, -9, -5 in descending order.\nAnswer: 3819, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -606778.7, 2\/7 in ascending order.\nAnswer: -606778.7, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - (-11)\/(-7). Let w be 1*(-3 - 96\/(-56)). Sort -5, g, 4, w.\nAnswer: -5, w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.10009 or -503\/2?\nAnswer: -503\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91065 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:32 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-85)\/175. What is the closest to -0.2 in -6\/5, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2702, 5398, 8088, 10778, 13474, 16182, 18908, 21658?\n\"Answer: u**3 - 9*u**2 + 2716*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/18 - 1)\/((-24)\/(-108))*-4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -191, -245, -295, -341?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -9555?\nAnswer: -1911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 57. Suppose 0 = -3*x + x + c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19700 - 71c?\nAnswer: 18dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b - 8. Let l be a(6). Suppose 3*x = -2*r + 7*x, l*r = 4*x. Solve r = u - 3, -3*u = -4*h - 5*u + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 5*z - 50)*(0 - 7 + 2)*(-10 + 27 + 35).\nAnswer: 1300*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 99. Suppose 66 = g - 3*o, 49 = 2*g - 3*o - v. Let k = g - 898\/15. Sort -6, 1\/5, k in decreasing order.\nAnswer: 1\/5, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 5 - (-104 - (-51 + 64))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(-18))**(-2\/13) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.38 - -0.62. Let d = -1 + -2.5. Let z = d + v. Sort -4, 0.2, z in descending order.\nAnswer: z, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 - (sqrt(11) + 2)*2) + (sqrt(275) + 5 + sqrt(275) + 1)**2.\nAnswer: 124*sqrt(11) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -97. What is the smallest common multiple of 18 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4753314?\nAnswer: -2376657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50107790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.5 + 39. Let a be (-19)\/3 + (-2)\/(-6). Let l = -2 - a. Put l, c, 0.2 in increasing order.\nAnswer: c, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*t**2 - 3 + t**3 + 27*t**2 - 3*t**3 + 0*t**3 in the form h*t**3 + y + r*t**2 + k*t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 + 218. What is the closest to -2\/9 in -1, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*i - 4*j + 3 + 7, 0 = 3*i - 91*j + 86*j - 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 95 = f - 4*f, -2*f + 3*b = -62. Let u = f - 32. Calculate the remainder when 18 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/51?\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -0.5 (c) -11572 (d) 0 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:38 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b11 - -5?\nAnswer: -1b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140798459977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -92953, 4 in decreasing order.\nAnswer: 4, 3, -20, -92953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (47 - 45 - -39)\/(-2 + 4)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72272148 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16451, -16450, -16449, -16448, -16447, -16446?\nAnswer: -16445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g**2 + 8 - 8)*(0*g**2 - 7*g**2 + 0*g**2) - 4*g**4 + 4*g**4 - 2*g**4 + (-2*g**3 - g**3 + g**3)*(-4*g + g + g).\nAnswer: -61*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -26. Factor 0 - 1\/4*u**m + 1\/4*u - 1\/4*u**2 + 1\/4*u**4.\nAnswer: u*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*r + 151*r - 68*r + 527*r + 916*r to the form g + x*r and give x.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 20*k - 58*k - 3*f = -17*k + 2*f, 0 = -6*k + 4*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 45*z**2 - 500*z - 14. Is 137 a factor of u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13706192723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113324714 or 113324715?\nAnswer: 113324714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 219 - 73 - 69 - 3*j - 87 + 5*j**2. Let p(o) = 6*o**2 - 4*o - 10. Determine -5*d(s) + 4*p(s).\nAnswer: -s**2 - s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 + 2*o**2 - 6*o - 6. Let y(d) = 4*d**3 - 3*d**2 + 5*d + 5. Calculate -5*x(v) - 6*y(v).\nAnswer: v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4170029 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10353 (base 6) to base 11\nAnswer: -1097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29621, -88, -1, 3 in increasing order.\nAnswer: -88, -1, 3, 29621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*f + 11 = 0, f = -4*z - 0*f + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3682 + 73661\/20. Suppose -d + 0*d - 9 = 0. What is the common denominator of r and 5\/(-3)*d\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x - x + 19*x)*(12*x + 10*x - 11*x) + (0*x + 3*x - 4*x)*(3*x - 3*x + 3*x).\nAnswer: 404*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 5485*i**2\/3 + 30281713*i\/6 + 179328534.\nAnswer: (i + 36)*(i + 5467)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327.803 nanometers in micrometers?\nAnswer: 7.327803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:36 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-1 + (-6)\/(-4)). Suppose -5*u + 4*p = -99, -u - 2*p + 100 = r*u. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.1 - 10.1. What is the nearest to -2\/9 in y, 4\/7, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1520)\/(-228)*(-6)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 64*h**2 - 70*h - 144. Calculate r(-21).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b*b**6*b)))\/b)\/b*(b**(-6\/5)*b)\/b)\/(b**(-6)\/b**(-2\/11)) assuming b is positive.\nAnswer: b**(529\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 3*m**4 - 3*m**4)*(5*m + m - 5*m) + 159*m**5 + 5886*m**2 - 5886*m**2.\nAnswer: 160*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(-11)\/b)\/b*b)\/b*b**(-2\/3))\/((((b\/(b**(-1)*b))\/b)\/b)\/b**(-3\/5)))**23 assuming b is positive.\nAnswer: b**(-4232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405351*y**3 - 1159*y + 612 wrt y?\nAnswer: -2432106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1291\/75 - 422\/25. Which is the nearest to -0.2? (a) -0.1 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/38 - ((-142)\/46 + -1 - -5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -667 + 985. Suppose -5*w - q - 4*q + 385 = 0, -4*w = -q - u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156) - sqrt(156))*1)\/((sqrt(84)*-1 - sqrt(84) - sqrt(84))\/sqrt(7)) + (2 + -2*sqrt(208) + 2)**2 + -4.\nAnswer: -64*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.35727 rounded to one decimal place?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.48 + 0.28. Let a = -0.2 - k. Let i = a - 4. Which is smaller: i or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/30 + (-48)\/(-15))*37\/((-1998)\/612).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - -2 - 2\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466214277 to the power of 1\/2, to the nearest integer?\nAnswer: 21592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000101001000101 - 1?\nAnswer: 1101000101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27326420 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 2*k + 4. Suppose 5 = 5*u - 5*s, 5*s + 10 + 1 = 2*u. Let m be z(u). Let a = m - -2. Solve 3*o + g - 7 = 13, -2*g + a = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 22. Suppose y = -4*r + 25. Suppose -r*z - 212 = -27. Is z bigger than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*f = 25, 12*f - 8*f = -3*b + 25. Let v(q) = 5*q**2 + 32 - 20 - 19 - b*q. What are the prime factors of v(-6)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 - 2*(-2*sqrt(2))**2) + -1.\nAnswer: -16 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Let r = h + 3. Let o = 0 - r. What is the closest to -0.1 in -2, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53299a (base 11) to base 7.\nAnswer: 10151664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 3*f + 3*f + (-5 - 4 - 3)*(6*f**3 - 5*f**3 - 2*f**3) + (-2*f**2 + 0*f + 0*f)*(-10*f - 7*f + 2*f).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1053 + -31. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237906*s**2 - 1237909*s**2 - 1237911*s**2 - 1237909*s**2 + 4951637*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 (base 10) in base 4?\nAnswer: 13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304820850.\nAnswer: 2, 3, 5, 47, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212211 - 21111200012?\nAnswer: -21121120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*h + h**2 - 6*h + 8*h)*(-30 + 46 - 116) to the form u + d*h**2 + m*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971967?\nAnswer: 1971967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 510782*d**3 + 696718*d**2 wrt d.\nAnswer: 3064692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835800 is divided by 1639?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**2*x**2 - 41*v**2*x + 3*v*x**2 - v*x - 3 wrt v.\nAnswer: -14*x**2 - 82*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 498, -5 in increasing order.\nAnswer: -5, -2, 3, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/627 and (-948)\/56 + (-16)\/(-168).\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let k(j) = 46*j**2 + 27*j - 27*j + 0*j**2. Determine g(k(l)).\nAnswer: 46*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3076624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25840211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15753 - -12901709\/819. Let c = p - -124\/819. What is the biggest value in 2\/17, 3, 1, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 36*h + 135 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 128*u**2 - 1300*u + 4056.\nAnswer: -4*(u - 13)**2*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3280)\/2050*(-30)\/464.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2264*b - 72671. Calculate u(-32).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2432 * 3\nAnswer: 7296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n - 9. Let f(c) = 9*c - 5*c - 2 - 3*c. Suppose 5*g = 4 + 6. Calculate g*t(x) - 9*f(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 502709\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - 4*p**2 - 10*p - 2. Let l be i(-4). Suppose -3*h + l + 459 = 2*w, 2*h = 2*w - 896. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-16)*8\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 14 + 24 + 210*s**2 - 72*s + 72*s.\nAnswer: 210*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 111\/2, -190.59?\nAnswer: -190.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/9, -0.4, -1, -8, 0, 6776?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 11*g - 10*g + 37*g - 14*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5932, 3, -29 in decreasing order.\nAnswer: 5932, 3, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6265534 times -1?\nAnswer: 6265534","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 7. Let g(q) = 6*q + 4473. Calculate g(s(v)).\nAnswer: 6*v + 4431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 28*w + 17. Suppose 3*q + 33 = 3*x, 2*x = -4*q - x - 65. Let j be r(q). Suppose j = -k + 162. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.443 - 60.843. Let z = -60 - y. What is the smallest value in z, -6\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (396\/(-231))\/((-2)\/7). Let o(w) = 24*w - 102. Is o(g) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-65)\/(-25) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 - 8*v**2 + 6*v - 9. Let l(d) = -5*d**3 - 9*d**2 + 7*d - 10. Let h(w) = 5*l(w) - 6*p(w). Let m(y) = -y + 11. Let b be m(8). What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 2*k**2 + 35*k**4 + 4*k + 4*k - 11*k - 3*k**2 + 26*k**4 in the form q*k**2 + l*k + g*k**4 + w + j*k**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 505567 and -0.68?\nAnswer: -343785.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47707303.\nAnswer: 7, 47, 145007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-2142)\/24))\/(6\/(-9))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/5 + 50573*p**2\/5 + 101149*p\/5 + 10115 = 0?\nAnswer: -1, 50575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11691 < -23.911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 46, 579, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2000220202 (base 3) to base 7\nAnswer: -224501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 184.67 times -21\nAnswer: -3878.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 43*u - 73*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + k)*(1 + 1 + 0) - 4*k + 2*k - 2*k + (-12 + 2 + 3)*(2 - 2 - 4*k) as a + i*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(o + 1 + 0 - 3)*(4*o + 4*o - 6*o).\nAnswer: -6*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1774 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - k = 2*a + 5, 0 = 4*a - 3*k - 18. Suppose 3*q = 2*x + 10, -4*q + 13 = -2*x - a. Calculate the remainder when 23 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let a be ((-878)\/10536)\/(1\/8*-2). Let h = 1 - 2. What is the second smallest value in 3, l, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1056 + 6*o + 3224 - 1052 - 1116.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 27. Let y = 6 + m. Suppose 0 = 3*r - y - 35. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/31, -1\/7, 46?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a + 1. Let z(b) = 3*b**3 + b - 9. Let f(s) = 5*k(s) + z(s). Factor f(l).\nAnswer: (l - 1)*(l + 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 270027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-8) + (-5)\/20. Let n be (w - 2) + 4 + (-22 - 0). Which is the smallest value? (a) n (b) -2\/15 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283\/2392 - -2\/299. Sort -0.03, q, 5, -0.27 in decreasing order.\nAnswer: 5, q, -0.03, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = 6 - 24. Let p(f) = -50*f + 4. Let u(v) = -99*v + 7. Let a(i) = 5*p(i) - 3*u(i). What are the prime factors of a(o)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253\/160 - -57\/32. What is the nearest to -2 in 2\/11, -4\/9, -3\/8, c?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36796*v**3 + 45537*v wrt v?\nAnswer: -220776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -226623\nAnswer: -1133115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 2, s: 5, f: 1, w: 8}. What is prob of sequence aaf?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 15*j**2 + 2. Let y be h(-15). What is the third derivative of 2*k**3 + 44*k**2 + 29*k**2 - 3*k**4 + 41*k**y + 3*k**3 wrt k?\nAnswer: -72*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 29. What is the least common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/323773495 and 9\/370?\nAnswer: 647546990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 22. Let w be 1 + y\/(-2 + 7). Find the third derivative of -6*c**2 + 4*c**2 - 2*c**3 + 3*c**2 - w*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314 * -28331.\nAnswer: -8895934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {m: 5, h: 1, r: 1, e: 2, t: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:00 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254228614 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -134, -219, -330, -467, -630, -819?\n\"Answer: -13*y**2 - 20*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128 + -8823?\nAnswer: -10052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110110 - -11?\nAnswer: 2110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 143*k**8\/336 - k**7\/105 + 41*k**4\/3 + 6*k**2 - 18. What is the second derivative of h(r) wrt r?\nAnswer: 2860*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 2 - 4 + 3*h**2 + 10 in the form v*h**2 + f + y*h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 7*i**2 + 7*i - 2. Let l be k(6). Let u(o) be the first derivative of o**3 - 3 + l - 7 + 3. Let s(b) = -b. Calculate s(u(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -539 greater than or equal to -558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose -3 = z*d, -3*i = -4*d - 5 - 11. Let h(k) be the first derivative of k**4\/4 - 4*k**3\/3 + k + 897. Calculate h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skkk when four letters picked without replacement from ksskkkks?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 55 + -27 + -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -10, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 4177?\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23730748 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 14446 - 4270. Calculate the remainder when w is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534535 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -b6b2?\nAnswer: b6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 30*s**4\/11 + 2666*s**3\/11 + 60364*s**2\/11 + 4544*s - 704 = 0.\nAnswer: -44, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + y + 1817 = 0, 5*g + 6*y - 1809 = 3*y. What is the greatest common divisor of 264 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*v - 3*v - 192. Suppose 0 = v*o - 19*o + 2761. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:13 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/5))**(-37) assuming p is positive.\nAnswer: p**(-333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174493 and 1276?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -2. Let k(s) = -s**3 - 10 - 3*s + 15 - 4*s**2 - h. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*r**2*x**4 + r**2*x**3 + 234*r**2 with respect to x.\nAnswer: -92*r**2*x**3 + 3*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 11*t + 2. Let x(o) = -2*o**2 - 13*o - 3. What is 3*n(p) + 2*x(p)?\nAnswer: -p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16*r**13*(r**(-20)\/r)\/r*r**(-2\/49)\/r assuming r is positive.\nAnswer: r**(292\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/129 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14213 + -1101?\nAnswer: -20314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 - (-1 + 19)\/(-3). Solve 3*l + 24 = 2*v + s*l, -2*l + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -3744, -12607, -29858, -58293, -100708?\nAnswer: -159899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -1365329, 1 in ascending order.\nAnswer: -1365329, -3, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjfjfu. What is prob of sequence fv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17323*q**2 - 19030*q**2 + 36355*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45631151?\nAnswer: 45631151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54640 less than -5338599908?\nAnswer: -5338545268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + m - 1. Let g be i(1). Let j = 15 - 11. Suppose 0 = -j*w + 69 + 23. Solve -5*f - 5*p - g = w, 0 = -f + 4*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18)*1\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -1722?\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1313, -2624, -3935, -5246?\nAnswer: -6557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -247*a + 6640. What is d(27)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/2 + 47*b**2\/4 - 143*b\/4 + 15 = 0 for b.\nAnswer: 1\/2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 128 + 20*w as t + o*w and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:54 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:10 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 68, 6, -5, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(384)*3)\/(sqrt(132)\/sqrt(11) + sqrt(3) - (sqrt(48)*-1 + sqrt(3))).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7179271 or -7179269?\nAnswer: -7179271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2026, 1.632, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, 1.632, 2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9)*(4 + 45\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 499505?\nAnswer: 3996040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165535 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-7 - -5 - 0). Let r be (4\/(-5))\/((-4)\/(-70)). Let v = p + r. What is the remainder when 26 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.8 take away -427.3462371?\nAnswer: 330.5462371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m - 116 = 0. Let g = m + 193\/7. Find the common denominator of g and 67\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7252737 divided by 127241\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:18 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/c**(2\/15)))\/c**3)**9)**30)**(-4\/5) assuming c is positive.\nAnswer: c**(3096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/87 smaller than -3\/21797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 74987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36231 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -4231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m**2 + 0*m)*(2*m**2 + 5*m - 5*m) + 4*m**4 + m**2 - m**2 - 2 + m**4 + 2.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 10*v - 6*d - 134 = -64*v, -v - 2*d = 38 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2 - sqrt(84) - sqrt(84))*5)\/((sqrt(252) + (sqrt(252)*2 + sqrt(252) - sqrt(252)))*-4 + sqrt(252))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10073347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urr when three letters picked without replacement from {i: 3, d: 3, r: 4, n: 4, u: 2, c: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0.08 (b) 2\/7 (c) 0.1 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, t: 1, y: 6, g: 1, w: 1}. Give prob of sequence yye.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16 and -37\/19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/51)\/i)\/i*i\/(i\/(i*(i\/(((i*i\/(i*i**6*i))\/i)\/i))\/i*i)))**(22\/3) assuming i is positive.\nAnswer: i**(8932\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11495, 22993, 34491?\nAnswer: 45989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 2268475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**21)\/j**(1\/2))**(-39) assuming j is positive.\nAnswer: j**(1599\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(224) + (sqrt(224) + 1*sqrt(224) - sqrt(224))*-5))\/(-3*sqrt(49)\/(-3*sqrt(14)\/sqrt(2))).\nAnswer: -64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 111)*61\/305. Solve 4*u = -27 + x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 2*p**2 - 2*p**3 + p**3 - p + 1. Let q(b) = 4*b**2. Let u be q(-1). Is m(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -759 - -759.0531. Let l = -0.05310406 + y. What is l rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00461201352 to 5 decimal places.\nAnswer: 0.00461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (-1 + -3 - -5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 1734, 2249, 2750, 3231, 3686, 4109?\nAnswer: 4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z + 10. Let s be 4*((-7)\/z - 3). Suppose -2*x - 10 = 2*c + s*x, x + 5 = 0. Is 6 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -47372*x - 8290103. Calculate j(-175).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/259 + -9150\/7511. Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.88 + -0.12. Let u = -17 - -62. Let h = u - 42. What is the closest to 4\/9 in 0.2, t, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99758 divided by -2.\nAnswer: 49879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*p**3 + 21*n**3*p - 64*n**3 + p**2*x - 8*x with respect to p.\nAnswer: -6*n**3*p**2 + 21*n**3 + 2*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 478.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:20 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 219678 divided by -4?\nAnswer: -109839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9155 by -350.\nAnswer: 1831\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26754 or -26751?\nAnswer: -26754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -111101011010100110011?\nAnswer: 111101011010100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5546\/(-624) + (-10)\/65 + 72\/(5 - -3).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23556756 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*w - 35, 5*w - 4*q - 66 = -71 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1705074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/3914 and -47\/1186354?\nAnswer: 22540726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105330 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*p**4 + 3*h*p**3 - 164809*h*p**2 - 2*h + 229102*p**4 - 31*p**2 wrt p?\nAnswer: -96*h*p + 18*h + 5498448*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(6 - (-120)\/(-18)). Sort 6, v, -1 in ascending order.\nAnswer: -1, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -334\/3 + 114. What is the closest to -1 in c, 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1546*r**4\/7 + 123678*r**3\/7 + 2345122*r**2\/7 - 5200686*r\/7 + 6724\/7 = 0.\nAnswer: -41, 1\/773, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/785, 0.01, -0.2 in decreasing order.\nAnswer: 1\/2, 0.01, -2\/785, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 18 = -2*c, y = -c - 4*y + 24. Let v be (-2)\/7 + 940\/56. Let f = v + -167\/10. Is f bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2 (c) 0.17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - v**2 + v\/4 + 3\/2.\nAnswer: (v - 3)*(v - 2)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 23980 - 3*w**2 + 4*w - 5*w - 23999 as o + v*w + g*w**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5) + 0)*-5 + sqrt(5)) + -1 + 1.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 less than 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 - -24931?\nAnswer: 24921.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001 + -1110001100000?\nAnswer: -1111000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 5*w**3 + 0*w**3 + 4*w**3 + w in the form z*w**2 + h*w**3 + q*w + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 9*o**3 - 5784*o**2 + 3853*o - 642 = 0.\nAnswer: 1\/3, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 17*f**2 - 15. Let q(d) = -d**3 + 11*d**2 + 62*d - 583. Let g be q(12). Calculate c(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3477 = -m - 7*s, m + 5*s = -m + 6972. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1800\/165)\/(-10) + 312\/44. Factor -1\/2*d**3 + 5*d**2 + 23\/2*d + s.\nAnswer: -(d - 12)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582800 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3237 and -73\/2905.\nAnswer: 113295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611440 is divided by 122196?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j - 62*j + 293179 = -49961. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.72. What is i rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 54 - 7 + 8*j - 25.\nAnswer: 8*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 7*x**4 - 2*x**3 + 6*x**4 - 2 - 9*x**2 + 0*x**2 in the form n*x**3 + a*x**4 + q + m*x**2 + p*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 + 78*q**4 - 134*q**3 - 20358*q**2 + 20412*q = 0. What is q?\nAnswer: -27, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 1720*b - 1715.\nAnswer: -5*(b - 343)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1703971 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-7) - 6248\/(-497)) + -12. Solve -29*a + 33*a - 4*t - 44 = s, -31 = a + 5*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -95, -158, -239, -344, -479, -650, -863?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1288 and -18.63.\nAnswer: 23995.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 44 + 19 = 0. Solve -2*m + 15 = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n - 2. Let i(j) = -37*j + 9. What is -9*c(f) - 2*i(f)?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337942 is divided by 310.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v**2 - 13*v - 11. Let b(g) = -23*g**2 + 20*g + 17. Let h(d) = -5*b(d) - 8*k(d). Let o be h(-2). Let r = o + 38. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*a - 4, 0 = -b + 4*b + 2*a + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -65*y - 5. Let s be o(-1). Suppose -2*g + 2*l = -s, 0 = -g + 3*l + 21 + 1. Suppose 4*x = -2*k + g, 3*k = x + 4 + 40. 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(h) be the second derivative of 7*h**3\/3 + 17*h**2\/2 - 8*h. Suppose 0 = -5*k + 1 - 16, n + 20 = -3*k. Let u(p) = -5*p - 6. Calculate n*u(d) - 4*g(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.4, 0.3, -0.3, 8.45?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 6*t**2 + t - 4. What is the smallest common multiple of 5 and m(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r = 4*l - 25*r - 132, -r - 157 = -4*l. Solve 0 = 4*w - 5*b + 1, -3*w - 42*b - 24 = -l*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:51 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -537*d. Let h(p) = -3*p**2 - 40*p. Determine a(h(z)).\nAnswer: 1611*z**2 + 21480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 5*u - 16. Let q be s(7). Sort -3, 2, -1, q in increasing order.\nAnswer: -3, q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 51, -13, -6\/209?\nAnswer: -6\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g*p + 70*g - 5*p wrt p.\nAnswer: 4*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*(-66 + 60). Solve -n*l = 755 - 758 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m. Let w = 1541 - 1547. Let j(v) = v. Give w*j(c) + r(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l + 8. Let v be p(2). Let f be -4 - -3 - (-6 + 2). Solve -v*o - f*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let l(a) = a - 1. Let g(s) = -71. Let p(d) = 3*g(d) - 213*l(d). Calculate t(p(n)).\nAnswer: 90738*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1984642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588641797 to the power of 1\/2, to the nearest integer?\nAnswer: 24262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 14*z**2 + 7*z + 7. Suppose -4*n + 5*t + 429 = 0, -2*n - 66 = -2*t - 282. Let q be ((-8)\/(-12))\/(-1 - n\/(-117)). Does 8 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 32 = 4*v, 0 = -5*r - 4*v + 5 - 0. What are the prime factors of (-1)\/(r\/63) + -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*l - 25 = 0, l + 15 = 2*y + y. Suppose -73 + 38 = y*b. Let d(w) = -w**3 - 6*w**2 + 7*w - 3. Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**3 + 2*i**2 + 76*i. Let s(h) = 13*h**3 - 3*h**2 - 114*h. Let w(c) = -8*m(c) - 5*s(c). What is the second derivative of w(g) wrt g?\nAnswer: 42*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhgdxygghggghhhdg. What is prob of picking 1 y and 3 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose 2*n - 3*m - 18 = 0, c*m - 5*m - 14 = -2*n. Suppose -n*g + 69 = -2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -56.\nAnswer: -13\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*s + 10*s + 20, 4*z - 20 = -s. Solve 0 = -s*i + i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22576 and 176?\nAnswer: 248336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/4)\/(6\/4). Let s(l) = z*l - l - l. Let q(k) = -2*k + 3*k + 2*k - 6*k. Give q(s(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/25235 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2. Suppose 5*y - 171 + 126 = 0. Let w(g) = y*g + 10*g**2 - 9*g + 3*g**2. What is a(w(n))?\nAnswer: 676*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4\/2) + 20. Suppose q - 4*q + 3*s = -w, 0 = 5*q + 2*s - 51. Solve -2*p + 3 = -5*u + q, -2*p = u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168989 + -21673. Let m = l - 412316. Round m to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7478548834?\nAnswer: 2, 83, 45051499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 15153175 = 4*m. Let p = -1380635 + m. What is p rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 + -7.6. Which is the third biggest value? (a) 1 (b) 0.2 (c) -5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -150. What is the highest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 455*a**3 - 453*a**3 - 30*a - 2 + 4 - 16*a + 44*a**2. Let w be c(-23). Let b = 0 - -0.2. What is the closest to w in -3, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2898)\/713 + (-3 + 0 - -7)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108996594 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = m, 2*q - 20 = 5*m + 6*q. Let k be (8\/12)\/(m\/6). Let u be (-2)\/4 + 1\/4. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gou when three letters picked without replacement from {x: 2, g: 4, t: 6, u: 3, o: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1407 divide 129918159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 312200030000 (base 4) in base 9?\nAnswer: 28785828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {t: 4, z: 7, h: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024 = -4*k - 2*x, 512 = 2*k + 3*x - 6*x. Suppose -31*d - g + k = -29*d, -5*d + 662 = -3*g. Calculate the remainder when d is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17342, -69378, -156114, -277544, -433662, -624462, -849938?\n\"Answer: a**3 - 17356*a**2 + 25*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 13 = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Let d = 34 + z. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/8)\/((-2)\/(-32)). Let p be (-4)\/w - 96\/5. Let a = -5 - p. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - (1 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*d**6 - 40*d**3 - 21*d**2 + 4*d + 22 wrt d?\nAnswer: 13200*d**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7 + 4ee0?\nAnswer: 4fa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9\/2 (b) 0.3 (c) 2\/1201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/13*z**3 + 0*z + 0 - 2\/13*z**2 - 2\/13*z**4.\nAnswer: -2*z**2*(z - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/13, -7312, -5, -0.2 in decreasing order.\nAnswer: 7\/13, -0.2, -5, -7312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 85, -4, -15\/11, -9\/2?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 92, 189, 322, 491?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*c - 2*p, -4*p - 3038 = -c - 3029. Solve 2*k - g - c = 0, 3*k + 261*g - 4 = 266*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 4*b**2 + 10*b**2 - 129*b**3 + 37*b**3 + 45*b**3 + 50*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let s(z) = -70*z**2 - 68*z**2 - 95*z**2. Determine o(s(t)).\nAnswer: -233*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 316425, 316426, 316427?\n\"Answer: i + 316424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1328179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -7364931\/16 and -460308 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 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: Let a be 24700 + (-3 + 3)\/5. What is a rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14439808\/11 - 1312664. Find v such that -354\/11*v**2 + 6\/11*v**5 - 150\/11*v**4 + 522\/11*v**3 + x - 48*v = 0.\nAnswer: -1, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l. Put l, 4, 2 in ascending order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001063 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Let w(g) be the second derivative of -247*g**4\/12 - 2*g - 4. Determine j(w(i)).\nAnswer: 122018*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2578696, 6, -2 in descending order.\nAnswer: 6, -2, -9, -2578696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6*-417)\/(9\/(-312)). Suppose 2*b - 3378 - y = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 + -128. What is the highest common factor of 26 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23200 - 5?\nAnswer: -23205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8608, -9120, -10508, -13210, -17664?\n\"Answer: -73*m**3 - m - 8534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.49 + -567.51. Put 2, k, -0.4 in decreasing order.\nAnswer: 2, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -129*l**3 + 13027*l**2 + 204*l - 219. Determine h(101).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*q - 2*q - 3*m, -4*m + 2 = -q. Let w = q + 12. Is 6 a factor of 2\/(-1*(-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2. Let x(o) = 7*o**2 - 5. Suppose 4 = 2*y - 4*w - 6, 5*y = 3*w + 25. Let p(h) = 4*h**2 - 3. Let z(k) = y*p(k) - 3*x(k). Determine n(z(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:06 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 3, c: 1, z: 3, g: 6}. What is prob of picking 1 r and 2 z?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1617*p**3 - 10*p**2 - 21*p + 8. Let l be x(9). Let m = -639802 + l. Round m to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 12*v**3 - 72*v**2 - 368*v - 384.\nAnswer: 2*(v - 6)*(v + 2)**2*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 5. Let q be g(-5). Suppose 0 = 11*y - 17*y + 1482. Suppose 3*d - 4*t + q*t = y, -t - 173 = -2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(-6) - (-282)\/36 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526746797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = 4*k - 19, -n = -4*k + 1. Let h be 7 + (-1 + 1 - -2)\/2. Suppose 0 = b + 3*y - h, -4*b + 0*y + 5*y - 19 = 0. Put 3, k, b in descending order.\nAnswer: 3, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59145698.\nAnswer: 2, 41, 71, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -6215246.\nAnswer: -5\/3107623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/56845632 and -55\/24.\nAnswer: 56845632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4024 times 5?\nAnswer: 47.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w + 2. Let f be z(0). Solve -10 = -f*a - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404\/(-2525)*5\/8\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f*f**(2\/7))**(-49)\/((f**(-1\/4)\/f)\/(f*f*(f*f**(2\/19))\/f))**(2\/83) assuming f is positive.\nAnswer: f**(-242603\/3154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -980262331 rounded to the nearest 1000000?\nAnswer: -980000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p + b - 458 = 37*p, 0 = -5*b. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of (-4407)\/(-4)*-3*(-3080)\/198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12651 (base 8) in base 2?\nAnswer: 1010110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 w, and 1 k when four letters picked without replacement from {y: 1, k: 1, w: 9, u: 5, o: 4}.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -51*q + 438. Calculate x(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/528 and -137\/1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**8*x)\/(x**(-1\/5)*x))\/(x**(1\/2)*x)**(12\/7) assuming x is positive.\nAnswer: x**(197\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) - -5*2*sqrt(110))) + sqrt(110) + sqrt(110)*2*4)\/(sqrt(1210) - (sqrt(1210) + -2*sqrt(1210))*-5 - sqrt(1210)))**2.\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/93852 and -47\/83424.\nAnswer: 750816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/420 + 5*t**4\/56 + 17*t**3\/21 + 112*t**2. Determine h, given that a(h) = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m - m + 5*m**3 - 3*m - 2*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i + 55. List the prime factors of n(-9).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/5 and 58\/1443?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 14, -2, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Suppose 4*m = 3*a - 3 + 28, -5*a - 4*m + 1 = 0. Let y = a + x. Let r(u) = -u**3 - 5*u**2 - 2*u - 5. Calculate r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11010?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34865, 69724, 104583?\nAnswer: 139442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 33. What is the highest common factor of 33 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idxixxxdixxxi. Give prob of sequence dxi.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 2\/13, -0.0306, -13?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(16\/(-3))*(-8)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0318 + -0.7898. Let y = -0.7580379 - b. What is y rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 4*w**2 + w - 4. Let n be v(-2). Let d be n\/15*((-4)\/(-12) + 3). Suppose 8*l - d*l - 60 = -4*o, -2*l + o + 45 = 0. Solve -4*g + l = -0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + 3 - (5 + -2*sqrt(2448)))*-2 + sqrt(2448) + 1*sqrt(2448)*2 + -2*sqrt(2448) + -5 + 3)**2.\nAnswer: -480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-12)*-1)\/((-5)\/255). What is the greatest common factor of c and 238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243.3 + -229. Let r = -91.8 + q. What is r rounded to zero decimal places?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286266585 by -104515.\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m*t*y**2 - 9*m*y**2 + 3*m + 2*t**2*y**2 - 11*t*y**2 + 17*y**2 wrt t.\nAnswer: 4*m*y**2 + 4*t*y**2 - 11*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*r + 27*r - 154 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878.8009 days to seconds.\nAnswer: 75928397.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 + 72 = 0. Suppose 64 = 5*g + n. List the prime factors of 165\/25 - (-4)\/g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 732205.7 millimeters?\nAnswer: 73220.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(234) - (-2*sqrt(234) - sqrt(234)))\/sqrt(9))\/(sqrt(22)\/(sqrt(176) + (sqrt(176)*1 - sqrt(176) - sqrt(176)) + sqrt(176))).\nAnswer: -64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let s(z) = 3*z. Let d(l) = -3*s(l) - 4*y(l). Let i be (0 + 1)\/((-2)\/(-4)). Let w(v) = v + v + i*v. Give w(d(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -165, -162, -157, -150?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -1107. Does 41 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (51\/(-45) - -1) + (-1056)\/180. Let z(u) = 3*u**2 + 3*u - 2. Let v(a) = 7*a**2 + 5*a - 4. Let n(w) = 2*v(w) - 5*z(w). Calculate n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*x**3 - 83*q**2*x**2 - q*x**3 + 70*x**3 - 4*x wrt q.\nAnswer: -2*q*x**3 - 166*q*x**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116309846 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 16*d + 4 = 0. Suppose 2*a + d*m - 970 = 0, 0 = 3*m - 1 + 7. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/38, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61581.45 millennia?\nAnswer: 6158145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421433 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (50\/(-4))\/((-1)\/(-6)). Let g be 2\/9 - u\/(-216). What is the biggest value in -0.2, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 24 in decreasing order.\nAnswer: 24, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.1. Let m = l + -0.3. Let r(o) = -o**3 + 5*o**2 + 8*o - 12. Let n be r(6). Which is the smallest value? (a) -5 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49645835857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1650133 - 281242 = -25*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227\/983 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1358?\nAnswer: -1357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17334 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*x + 2*r - 376 + 132 - 169 = 3*r, 2*x = -3*r + 61 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 150. What is v(-61)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351870 and 14874?\nAnswer: 23575290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6257 = -5*q - 0*h, 2*h + 6 = 0. Is q\/(-3) + (-28)\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 - 5*p**4\/24 + p**3\/3 - 5*p**2. Let t(b) = b**3 + b**2 - b - 5. Let h be t(0). List the prime factors of v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 48 = -248. Solve 0 = -5*m + u + 9, -6 - p = -4*m - 3*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Solve -5*u + 2 = -i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*s + 2 = -0*s, 4*s = 0. Let u(m) = 10*m**2 + 2*m - 6 - 7*m**q + 4 + 1. Suppose 8*r - 3*z - 1 = 3*r, 0 = -2*r + 5*z - 11. What is u(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/10, 1\/11, 40?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 6 - 1\/3. Let t = n + -19. Let r be ((-88)\/(-220))\/(-1 - 28\/(-30)). Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -346\/5 (b) -0.4 (c) 65\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.081 - 25. Let s = m + -0.181. Sort 1\/2, s, 0.03, 0.\nAnswer: s, 0, 0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -1.6. Suppose 0 = 6*s - 3*s + 9. What is the nearest to -2\/3 in 0, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2142 + 151.2142. Let u = -110.5 + 162. Let r = u - w. What is r rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 6\/(-3)) + 0. Solve -w + 16 = 2*m + 1, -2*w + z = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 584600484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49851.\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046991 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 4:40 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 440 = 586 - 1170 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let n(x) = 33*x + 11. Let m(f) = 22*i(f) + n(f). Let o be m(-14). Let j = -38 - o. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 30 = -8*k + 3*k, -6*o = 17*k - 13*k + 8 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 3:17 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 42461987?\nAnswer: -16984794.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -453012\nAnswer: -1\/151004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -5*o, -4*u - o = -5*u + 10. Suppose -u*f = -2*f. Factor -1\/5*g**4 + f + 0*g + 0*g**2 + 0*g**3.\nAnswer: -g**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + -bc?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 11*y**2 + 5*y + 16. Let r be n(-1). Solve 9*v - 15 = r*h + 4*v, 4*h + 4*v - 28 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 9*f**2 - 7*f + 11. Suppose 5 = -3*p - 1, -4*l - 26 = -3*p. Let n be g(l). Find the second derivative of 4*i**3 - i**3 + i - n*i wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59\/(-19) + (-110)\/(-1045)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 54*n - 5*s = -5, -5*s = -2*n - 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-75)\/46))\/(((-8110)\/6488)\/(25\/(-8))).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1101?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*d - 2*d + 1905, -p = 2*d - 635. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8957 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.3. Suppose -2*t - 4*i = -22 + 2, -t - 3*i + 12 = 0. Let c(j) = j**2 - 5*j - 1. Let a be c(t). Put a, 0.3, v in increasing order.\nAnswer: v, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2247 and 231348?\nAnswer: -51983.8956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9261.553l?\nAnswer: 9261553","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -5 - 3 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (sqrt(704)*1)**2 + -3.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -4*z + 12*z. Calculate the greatest common divisor of 36 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145208119997 + -145208119218.99999683. Let n = -778 + f. What is n rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15390 divided by -810?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101330 + 12310033?\nAnswer: 20012023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26 and 123.\nAnswer: 123.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/27*-21 + 7. Let t(g) be the third derivative of h*g**4 + 0*g**3 + 0*g + 0 - 1\/15*g**5 - 7*g**2. Let j(u) = -4*u**2. What is t(j(y))?\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9604 by 2401.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -464280 divided by -10?\nAnswer: 46428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010084 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102551203 and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/3854676 and -41\/4.\nAnswer: 3854676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 2*r = 169, 551*z - 3*r - 39 = 1218*z - 664*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/42)\/(35*(-4)\/24)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 120*h + 2353. Calculate the remainder when z(31) is divided by 217.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 127\/5 + 54\/(-135). Is 25\/(-2)*(-1 - l) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190182 to the power of 1\/2, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-4 - -6))\/(-437). Let k = -852\/4807 - s. Which is the nearest to 0? (a) 0.5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Suppose u + 3 = 2*r. What is the lowest common multiple of 6 - -2 - (0 + r) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102 (base 3) in base 5?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(1 - 3\/5). Suppose -2 - 10 = -4*m. What are the prime factors of 407\/z + m\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o**3 + 4*o**2 - 3*o - 1. Let n be v(1). Let g = 7 + -22. Let r = g + n. Solve 4*z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58619 <= -468961\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (6 + -46 - (1 + -5 + 1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 2*s**2 + 3*s + 3. Let u be -2 - -3 - (-4)\/2. Let d be h(u). Let v = d + -1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15207136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from easaanncxcna?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + 0 - -3 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(4\/3) - 21\/(-6). Suppose j - 11 = -p*a, 5*a - 3*a - 2 = 2*j. What is the tens digit of 2 - -2 - a - -111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1105 and -21\/1277120.\nAnswer: 21711040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(55)\/(sqrt(539)*2 + sqrt(539) + sqrt(539)) - (-2 + (((sqrt(320)*-2 - sqrt(320)) + sqrt(320))**2 - sqrt(320)) + -4).\nAnswer: -1275 + 225*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131035 (base 6) in base 16?\nAnswer: 2e7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + -2*(sqrt(85) + -1*(sqrt(85) + (2*sqrt(85) - sqrt(85))) + sqrt(85) + sqrt(85))\/(sqrt(20)\/sqrt(4)*1).\nAnswer: -2*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i + 1629270 = 475*i. Solve -i*s + 44 = -3859*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1 (b) -888\/25 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 10*i**2 - 3271*i - 39618. What is o(-12)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - -0.3. Let h = l + -27.42. Let j = h - -26.31. Round j to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(264)*-1)\/sqrt(8))\/(sqrt(432)*1*3).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*v + 312 + 1366 = 432 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*f + 3, 101*f = 4*u + 106*f + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*i = 364*i + 165336 - 44016. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s - 1. Suppose 3*j = 1 + 8. What is u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 5 + (sqrt(567)*2 - sqrt(567)) + sqrt(567) - sqrt(567)) + (1 + sqrt(567)*-2 - sqrt(567)))**2.\nAnswer: -108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2458731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40 - (6 - 10\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and -69\/1411540.\nAnswer: 2823080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1980) - sqrt(1980))*-6)\/(sqrt(30)\/(sqrt(6)*2*6)) + 1.\nAnswer: -432*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - 3) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 51 = -15. Suppose 720000 = -l*u + 5*u. What is u rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1249 = -14*t - 801. Let n be (-319)\/(-4) - 3\/(-12). What is the highest common factor of n and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 s, and 1 q when four letters picked without replacement from {t: 2, i: 2, q: 1, m: 2, z: 1, s: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23391 is divided by 204.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715725143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29294 = 3*k + w, -2*k = -5*k - 3*w + 29292. Let u = -58735\/6 + k. Find the common denominator of u and -38\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -3*a**5\/10 - a**4\/2 + 2*a**3\/3 - 4*a. Let o(f) = f**3 + f**2 - f. Let c(d) = -4*o(d) - u(d). Factor c(l).\nAnswer: 2*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(833) + sqrt(153) + 2 + (sqrt(17) - -6*sqrt(17)*2 - (sqrt(17) + sqrt(68)\/sqrt(4) + 0))**2)*6.\nAnswer: -66*sqrt(17) + 12372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31623604 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 97*p**2 - p + 1. Let x be f(1). Let h = x + -52. Calculate the highest common divisor of h and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1\/2*y**2 + 0*y + 8. Let j(x) = 9*x. Let f(r) = -r. Let c(w) = 40*f(w) + 5*j(w). Determine i(c(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l + 0 + 0)*(-3 + 1 - 1).\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 527 = -o, y - 521 = o. Let z = o - -550. Calculate the greatest common divisor of z and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1151034200 to the nearest integer?\nAnswer: 33927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 4*f)*(0 - 2 + 0) + 2*f - 11*f + 5*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/4)\/r)\/r*r**(-2\/63))\/(r\/(r\/r**(-18))*r*r**(-6\/11)\/r) assuming r is positive.\nAnswer: r**(42311\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38076 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25181108303 + -25181108484.000000968. Let y = i + 181. Round y to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 - 2. Calculate the remainder when r(3) is divided by (6\/2 - (-6 - -2)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - 2*a**2 + 8*a + 10. Let v(z) = 7*z**3 + z**2 - 4*z - 5. Let f(s) = -6*b(s) - 11*v(s). What is the units digit of f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (319804\/14109)\/((-3)\/(-9)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38131238 is divided by 10407?\nAnswer: 10397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -0.3933849.\nAnswer: -0.6066151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.47 + -2.3. Let d(s) = 2*s**3 - 82*s**2 + 81*s - 42. Let z be d(40). Which is the nearest to 0? (a) o (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -680 + 684. Solve -a = g*a, 0 = -5*v + 3*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 101102112211?\nAnswer: -101102112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 17*s - 5217 = 144*s - 1329 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suuu when four letters picked without replacement from hhscccuccssiicuhuihc?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616238\/(-144)*128\/(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265*b**2 - 19*b - 31042 wrt b.\nAnswer: -530*b - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o*v**4*z - 2*o*v**2*z**2 - 15*o*v*z**3 + 9*o*v*z + 2*v**4*z**3 - 79*v**4 + 2*z**3 wrt v?\nAnswer: 120*o*v*z + 48*v*z**3 - 1896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g = 18*g - 1491. Which is greater: g or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 1274602*c - 1218457693803.\nAnswer: -(c + 1911903)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k - 1963598 = -16*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000494 to 6 decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 2}. Give prob of picking 4 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 15. Let j(h) = 26*h**2. Calculate j(y(x)).\nAnswer: 104*x**2 - 1560*x + 5850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:20 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 2*k - 5. Let h(f) = -4*f**2 - 2*f - 4. Calculate 3*c(a) - 4*h(a).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 0.17. What is the second biggest value in -0.4, -5, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10 - 10 - 42*m**3.\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 2*r = 1256, z - 314 = 4*r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 1773*a**2 + 169679*a + 1274973 = 0. What is a?\nAnswer: -7, 109, 1671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19348164 to the power of 1\/2, to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9860153.\nAnswer: 17, 127, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -105407 (base 10) in base 6?\nAnswer: -2131555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-24)*(-12)\/4\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -52. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 912*o - 2026. Determine v(4).\nAnswer: 1622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 19*p + 34.\nAnswer: (p + 2)*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -20, 4 = 2*u - 4*p + 32. Suppose -16*i = -17*i - 49. Let v = u - i. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-12 - -44 - 34)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 6*w, y + 5*w - 32 = -2*y + 21 - 15 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*f - 0*f. Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/2333460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + q**2 - 4*q)*(-3*q + 0*q + 5*q) + 0*q - 2*q**3 + q - q**3 + (2*q + 2*q**2 - 2*q)*(27*q - 35 - 21*q - 3*q).\nAnswer: 5*q**3 - 70*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22013845)\/15*(-89196)\/32631395960. Let c = 12182\/317797 + q. Let k = c - -1\/10268. Find the common denominator of 101\/22 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 601*n**2 - 16300*n + 1341. Calculate c(-627).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10398?\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 1274?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 28 - 7*m + 0*m**3 + 5*m**2 + 2*m**3 + 15. What are the prime factors of l(7)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 7*n - 26 = 0. Suppose -2 + 7 = -c + 2*p, -3*p = 2*c - 18. Suppose c = -4*u - n. Sort -2\/5, 2, u in ascending order.\nAnswer: u, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 175 - 275 - 4411*o.\nAnswer: -4411*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12009 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475721573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - l. Let k be c(-1). Let i(y) = -3*y - 11. Let r be i(k). Calculate the remainder when (-118)\/(-2) - r\/25*0 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -5) + 20 + -6 - -35\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 167837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 122, 131, 132, 125?\n\"Answer: -4*q**2 + 29*q + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113026 - -1?\nAnswer: -113025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.229 + -0.229. What is the smallest value in r, -3\/2, 1\/9, 3\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-685 - 800 - 301)*(12*j**3 + 213 - 213).\nAnswer: -21432*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times 0.88\nAnswer: 2.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 - 8)*(-28)\/97. Let w = -5563\/1746 - j. Find the common denominator of w and 79\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 9*s - 13 + 15*s)*(5363 - 137*s - 5363).\nAnswer: -137*s**2 + 1781*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 30 = 4*m, -4*i - 8626 = -4*m - 8650 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(-4)\/12 + 1. Suppose -5*t + 1569 + 162 = 4*u, 0 = 4*u + v*t - 1736. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1090*x + 3844*x - 1427*x + 4024*x + 4527*x in the form y + q*x and give q.\nAnswer: 12058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j + 178565 = -7*j. What are the prime factors of j?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-14))\/((-17)\/238)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 4 + 30*v.\nAnswer: 30*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194621268.\nAnswer: 2, 3, 43, 377173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 4*u + 3*m + 9, 3*u + 5*m = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.503 - -5.503. Let f = -59.8 - -60. Let m = 0 - 5. Which is the nearest to f? (a) 1\/5 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -490 and 2?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:35 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-1701)\/24)\/27)\/((-21)\/12*1)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -9 + (0 + 4 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 e when four letters picked without replacement from xpecpeepevecepvpec?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -515539.8 + -0.3?\nAnswer: -515540.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 21619200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z. Let h be d(-3). Suppose 0 = -2*g + 4*t - 964, -h*t = -0*g + g + 477. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.098 - 0.002. Let s = j + 4. Suppose 2 = -2*r - 2. What is the second smallest value in s, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let u = 36\/13 + -301\/104. Suppose 0 = 6*k - 3*k. Which is the closest to q? (a) -10 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/13217?\nAnswer: -3\/13217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*-7*14\/(-343). Let o(f) = 93*f**2 - 18*f + 31. List the prime factors of o(w).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137*x - 22 = 1148*x. Sort 4, -5, x, 12.\nAnswer: -5, x, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0261021078 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14773644.\nAnswer: 2, 3, 29, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/21 + 1018879136*p\/21 - 129764336722013312\/21 = 0. Calculate p.\nAnswer: 254719784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + v**3 - 12*v**2 - 3*v**2 + 7 + 26. Is t(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9835346, 19670711, 29506076?\nAnswer: 39341441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 times -1.1?\nAnswer: -4521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 1528, 5177, 12284, 24001?\nAnswer: 41480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2 - 17*r + 25. Let k be d(10). Solve -2 = -k*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*d - 1 + 1 + 499*d + 169*d + d.\nAnswer: 1044*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011958 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.227 and 0.01?\nAnswer: 0.01227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(84)\/sqrt(7)) + (sqrt(88)*1 - sqrt(88))\/sqrt(4))\/(((sqrt(396) - (sqrt(396) + sqrt(396)*2))*4 - sqrt(396))*4))**2.\nAnswer: 1\/23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/20187 and 17\/288.\nAnswer: 645984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-44)\/(-15) - 3 - (-1494012)\/180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/24 + r**5\/60 - r**3\/6 - 4*r**2. Let n be x(1). Suppose n*f - 20 = f. Solve f*h - 15 = 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1368 and 135090?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2121773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.1, 3\/7, -0.01?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - n = 8, 11 = 4*n + 27. Solve -4*w = -2*o - 22, -3*o + 0 + c = w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1166*f**5 - 24*f**2 - 43*f**2 + 67*f**2 + (2*f**4 - 2*f**4 + 2*f**4)*(3*f - 4*f + 2*f).\nAnswer: 1168*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/((-65772)\/(-336))*(-6)\/(-20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 9?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -0.062 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -39*y**3 + 1443*y - 726*y**2 - 549 - 171 + 42*y**3 = 0?\nAnswer: 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78141330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiyk. Give prob of sequence ky.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24200359 divided by 1?\nAnswer: -24200359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32830 = -2*t + 2*d, -d + 76271 = 3*t + 27050. What is the greatest common factor of 61 and t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81.58706 from 0.3.\nAnswer: 81.88706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgr when three letters picked without replacement from yypcgypplcrpgpy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)\/n*n**1*(n\/(n**(-1)\/n))\/(n\/n**3)*(n**(-1\/6)\/(n*n**1*n))**(-41) assuming n is positive.\nAnswer: n**(271\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 - (-8 - -2) - (-6 + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 4. Suppose 7*c = 196 - 161. Suppose -13 = -0*b + 4*b - k*u, -5*b + c*u = 15. Let a(m) = m**2 - m - 2. What is a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3 + 17*c + 7 + 3*c**2 + 13. Let z(r) be the second derivative of r**4\/12 + r**3 + 3*r**2 - 9635*r. What is 6*y(h) - 17*z(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 209*y**2 - 209*y**2 - y**4 - 16 in the form u*y**3 + p*y + h*y**4 + b*y**2 + j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 629*a**2 + 591*a**2 - 1220*a**2 - 22*a**4 + a**4 - 2 - 18*a**3 in the form u*a + n + o*a**4 + l*a**3 + g*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63866, -7, -2, 86, -4 in ascending order.\nAnswer: -63866, -7, -4, -2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {e: 2, i: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 15*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6703862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 21*o + 45. Let z = 660 + -674. What are the prime factors of d(z)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18)*((-3)\/8)\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-11))\/(60\/(-80)) + 668\/(-84).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 587016 and 1395?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3965 - 7*h**5 - 19*h**5 + 33*h**3 - 9*h**5 + h**6 + 800 + 2*h**5 - 2*h**2 wrt h.\nAnswer: 120*h**3 - 1980*h**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*-4*((-270)\/12)\/45. What is the fourth smallest value in g, -864, 2, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:22 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quwqwqqwqyqqqqq. What is prob of picking 2 w, 1 y, and 1 u?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2489*b + 79*b + 142663 + 72489 = 754*b for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d - 9. Let b(i) = 14*i - 26. Let s(v) = -4*b(v) + 11*f(v). What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 28 = 4*r, 25 = -5*h + 2*r + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, u: 5, e: 1}. Give prob of sequence uue.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*i - 45, 0*i = -3*i - 3*k + 21. Let h(g) be the first derivative of 2\/9*g**3 + i - 2\/15*g**5 + 1\/3*g**4 - 2\/3*g**2 + 0*g. Factor h(p).\nAnswer: -2*p*(p - 2)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/315)\/((-150)\/(-70)*8\/(-12)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**3 - 3*i + 3*i + 1 with respect to i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + -3*(-4 + 6 + -3). Let h = -4.4 - 0.6. Which is the biggest value? (a) h (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-4832)\/(-240) - (-2)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 96. Suppose l + 0*l - 5 = g, l + 5*g = f. Solve l*x - 4*r - 7 - 8 = 0, 5*r = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338570?\nAnswer: 2, 5, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7279.999913864 - 7280. Round x to 6 dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 8*a**3 + 425*a**2.\nAnswer: -a**2*(a - 25)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**3 - 1\/4*g**4 + 0 - 3*g + 3\/2*g**2. What is the derivative of m(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 30*w**4 - 11896*w**3 - 102774*w**2 - 39008*w + 51840 = 0.\nAnswer: -8, -1, 8\/15, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170443311 is divided by 3848?\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11956 + 33264 = 761*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v + 5*o - 5 = -68*v + 30*v, -3*o + 33 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1033320212 (base 4) to base 16\nAnswer: 4fe26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Let w be -2 + -2 + (2 - 2). Let v be b + 0 + (-8)\/w. Solve -v*p = -13 - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 9. Let h(w) = w - 1. Let a(g) = -51*h(g) - 6*x(g). What is a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6596009 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*o - 18, 3*k - 5*o = -2 - 12. Let g be 275 + (-2)\/((-6)\/k). Suppose 0*z = z - f - 65, -4*z + g = 3*f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12252652 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -463\nAnswer: 11\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-48) + 2\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -79. Let i(p) = b*p + 12*p**2 + 2 - 2690*p**3 + p + 3*p. Let q be i(9). Round q to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 1636254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7643 - 3?\nAnswer: 7640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-48) + (-4)\/(-6). Let p be 3\/7*(-2)\/(-3). Which is the closest to p? (a) -1\/3 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1589, 3177, 4765, 6353, 7941, 9529?\n\"Answer: 1588*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -0.2 (c) -5 (d) 19 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -4*i - 61*i - 2378 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c + 716*c - 23606 = 243*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 274*x**3 - x**2 - x - 1. Give s(-1).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706298 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 11)*(37*p**5 + 231*p**5 + 61*p**5).\nAnswer: -4606*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 3*l**2 + 3*l**2)*(-4*l - 5*l**2 - 5*l**2 + 6*l**2) to the form c*l**3 + x*l**4 + m*l + s + h*l**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 - 3*g + 4. Let a be p(-4). Suppose a = -j - j + 22. Let q be (-4)\/(-18) - (-2174)\/18. What is the greatest common factor of q and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*o + 12. Suppose 15 = 2*c + 3*c. Let z be (o\/6)\/(c\/(-20)). What is the highest common divisor of 20 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)\/(2 + -1). Let b(n) = 2*n + 12. Let a be b(-6). Let t be a + (-1)\/(3\/(-12)). Solve t*d + 2*w - 10 = 0, y*d + 3*w - 8 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17328240.\nAnswer: 2, 3, 5, 41, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4276 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/111177 and 74\/357.\nAnswer: 13230063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t**(-1))**(-1\/18)*((t*t\/(t*t*t**(-4\/5))*t)\/t**(-5\/3))**7 assuming t is positive.\nAnswer: t**(8761\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 51077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 + 46*f**4 + 120*f**3.\nAnswer: 2*f**3*(f + 3)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38130201 is divided by 56.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 5*g**2 + 2*g - 4. Let l(v) be the first derivative of v**4\/2 + 4*v**3\/3 - v**2 + 3*v - 4. Calculate 4*l(r) + 3*u(r).\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**(-33))**31 assuming y is positive.\nAnswer: y**(2046\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325)\/(-130)*(6 - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + j + 285. Solve j*a - 11*a + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b. Suppose f + 3*k - 8 = 0, 0 = -f + 2*k + 3 - 15. Let q(p) = 7*p. What is f*z(r) - 7*q(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7*g**5\/9 + 195655*g**4\/9 - 80738*g**3 + 558932*g**2\/9 + 223576*g\/9 = 0.\nAnswer: -2\/7, 0, 2, 27947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/22 and -143\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421072 is divided by 183.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6447433\/6797 + 6640\/7. Let v = 39804\/6797 + i. Calculate the common denominator of v and -43\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 890 - 824. Let a be 526\/(-8) - 4\/16. Let v = t + a. Solve 6 = 3*n - v*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001109005 to 5 decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1448*w. Let r(a) = a**2. Give q(r(j)).\nAnswer: -1448*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7026929792?\nAnswer: 2, 443, 123923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 2, l: 4, q: 6}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01035592 + 0.21964427. Let t = h + -0.23. Round t to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89362785*y**3 + 33391883*y?\nAnswer: 536176710*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 4. Let x be j(6). Suppose 5*c - 2*c - 11 = -a, 3*c + 2*a = 10. Suppose -x = -3*y + c. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337160+-5\nAnswer: -337165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uullu. What is prob of sequence lul?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 43. What is the tens digit of ((-32)\/6)\/((-10)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13341*q + 27 = 13345*q + 23*c, 0 = 3*q - c - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 22*s + 8. Let x be i(5). Suppose -n - 5 + 1 = -4*j, -4*j = 5*n - 28. Suppose -j*w + x + 41 = 0. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r*r**(2\/13))\/r*r)\/r)\/(r\/((r\/r**1)\/r)*r))**30 assuming r is positive.\nAnswer: r**(-330\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -8. Let x = k - 5.6. Let a be (-1 - 0)*6\/(-51). Sort -1, x, a.\nAnswer: -1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3009, 3429, 4091, 4995, 6141?\n\"Answer: 121*j**2 + 57*j + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:46 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/5)*k)\/k*k*k\/(k\/k**18)*k*k\/(k*k\/(k*(k\/((k*k\/k**(1\/16))\/k))\/k*k*k))*k\/k**(-15\/7) assuming k is positive.\nAnswer: k**(14339\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 14*h + 7. Let i be m(-8). Let q = i + 12. Solve 20 = -j + 4*c + q, 0 = -4*j + 3*c - 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -409606, -409650, -409694?\n\"Answer: -44*k - 409562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 = 0, y + 107 - 22 = 3*m. Let h = 28 - 23. Calculate the remainder when 686\/6 + h\/(-15) is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -2*g**3\/3 + g**2 + 4*g. Let o(r) = 9*r - 5. Let p(z) = -3*o(z) - 7*x(z). What is the units digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 406, 1333, 3124, 6067?\nAnswer: 10450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a + 2*w, 0 = -4*a - 5*w + 3. Let z be -1*(-1)\/(2\/(-4)). Put a, z, 5 in decreasing order.\nAnswer: 5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17256?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 30809958 + 30809958.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*m**2 + 48597342*m - 48597342*m.\nAnswer: -174*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let m(z) = 1674*z. Determine p(m(u)).\nAnswer: -5604552*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2051*r - 7 = 2048*r + 4*l - 0, 10 = -6*r + 2*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l**2 - 135*l**2 + 1493848 + 404*l**2 - 1493848 - 104*l**2.\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*b - 216*b - 65. What is the remainder when 59 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c - 26. Suppose 0 = l + 2*h - 4, 0 = -5*l - 0*h - 4*h - 10. Let x(q) = 4*q + 9. Let a(y) = l*b(y) - 17*x(y). What is the units digit of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226533 is divided by 22577?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-175))\/((-2)\/49).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 12. Let o = -10 + 13. Suppose 2*c + j = 4*c - y, 13 = o*c - y. Solve h - c = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -22, 11, 1\/7, -3, 0.054?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:45 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 - 285*m + 508. Determine x(-58).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-1440)*12)\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9 + -2e7a?\nAnswer: -2da1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 21\/(84\/32) + -72 + 127.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -935305 less than -935303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-20 + (15 - 22)) - (5 - (3 - -9)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5862530*k*z + 17251040*z wrt k.\nAnswer: 5862530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:51 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfcfvfvcfcvcf. What is prob of picking 4 f?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -28\/129, 0, 1\/5, 1 in decreasing order.\nAnswer: 1, 1\/5, 0, -28\/129, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872140878?\nAnswer: 2, 17, 29, 809, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 7) in base 9?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44070 is divided by 119.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 8}. What is prob of sequence tw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 4*r + 1. Let k be o(5). Let m = k - 6. Is m >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4562219 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 55, 68, 97, 148, 227?\n\"Answer: z**3 - z**2 - z + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 212231922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/741, -2\/5, -0.1 in decreasing order.\nAnswer: -2\/741, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 10375 + 2*y - 5*y**2 + 26893 + 20026.\nAnswer: y**3 - 5*y**2 + 2*y + 57294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - -7) - -92 - (-40 - -37).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*2.3.\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 - c**3\/3 - 10*c - 2. Suppose p - 4*p + 18 = r, 2*r = 2*p - 4. Suppose f - 2 = 0, r*f - 6 = -2*a + 7*a. What is o(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1. Let q = -14.09 + 14. Let h = q + -0.01. Which is the nearest to 0? (a) y (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -0*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 114. What is the greatest common factor of c and 518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/796 - -1241\/7164. Let y be ((-10)\/105)\/((-4)\/6). Put 3\/11, y, 5, i in descending order.\nAnswer: 5, 3\/11, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.206 - 0.006. Let z = -6.8 - -6. Let x = z - d. Which is the second smallest value? (a) 5 (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 694 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b9357 + -37?\nAnswer: 3b9320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 10 = 53*m - 189. Sort 0, m, -175, 2 in descending order.\nAnswer: m, 2, 0, -175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 17*u**3 + 2*u - 5. Let i(r) = 8*r**3 + r - 2. Determine -13*i(y) + 6*v(y).\nAnswer: -2*y**3 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-172)\/(-430)*5\/(-32))\/(2\/12). Let x = 301 - 6323\/21. Sort x, i, 4.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 19073142.\nAnswer: -95365710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1466327*a**3 + 857*a + 1714. Let k(c) = -3426*c**3 - 2*c - 4. Calculate -857*k(y) - 2*v(y).\nAnswer: 3428*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -4. Is -6 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121436 or 121440?\nAnswer: 121440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 6. Suppose 5*m - a + 6 = 0. Let u(t) = t**2 - 2*t - 4. Calculate u(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/48)\/(-7)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 3, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) + (sqrt(80)\/sqrt(5))\/sqrt(4)) - -6*(2 + sqrt(405)))**2.\nAnswer: 1308*sqrt(5) + 59981\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - o**2 + 4*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = -5*b, -4*b = -3*b - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, o: 3, f: 3, j: 4, q: 2}. What is prob of picking 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**3 + 178*z**2 - 64*z - 5?\nAnswer: 36*z + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -13)\/5 + -32. Let b = 36 + i. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -18 - ((13 - 14) + -1 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/30*(-1 + -1 + 2). Suppose 5*q + j = -r*q + 2, -4*j = 12. Let p = 65.8 - 66. What is the fourth biggest value in 4, q, 1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/754)\/(5\/145)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*p**3 + 189*p**3 - 127*p**3.\nAnswer: 324*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 36. Let f be j(5). Let u(y) = 51*y - 82. What is the hundreds digit of u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a + 266. Let f be b(17). Let j(h) be the first derivative of -10 - 11\/2*h**2 + f*h. Find the first derivative of j(g) wrt g.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-13 - (-70)\/5) + 2 + 44618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.5419 to 1 decimal place.\nAnswer: 179.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i**(-1\/8))\/i)*i**(3\/16)\/i*(i**(4\/9)*i)\/(i*i\/(i\/(i*i**(-7)*i))) assuming i is positive.\nAnswer: i**(829\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6 + -5?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 76*k**2 + 154*k + 137. What is c(78)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**3 - 11*k**2 + 17*k + 11. Let q(f) = 5*f**3 - 4*f**2 + 6*f + 4. Suppose -17 = -4*n - 1. What is n*h(p) - 11*q(p)?\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4106, -8205, -12304, -16403, -20502?\nAnswer: -24601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9*6 - -1. Solve -3*a + i = -4*i - 6, -2*a = -q*i - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 + 5 + -2. Suppose -2*d = 3 - 11. Suppose 2*b + 3*s - 22 = 0, -5*b = -2*b - 2*s - 20. Solve -4*r - b = d*o, -w*o + 7 = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*46 - 1)\/(-1). Let u = -809 - -854. Let f = d - u. Solve 4*k + f - 12 = 3*p, 4*k - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1048 and 442.\nAnswer: 441.8952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6593 and 0.30742?\nAnswer: -0.510102006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.2? (a) -0.2 (b) 19052 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -27. Suppose -36 = 5*w - 9*w. Suppose 0 = -w*x + 211 - 49. Calculate the least common multiple of x and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 0*k - 10*k**3 + 12*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2172362, -4344678, -6516964, -8689226, -10861470, -13033702, -15205928?\nAnswer: -17378154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 + (-5)\/3. Let c = b + 10. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/9 + 11414*i**3\/9 - 474628*i**2\/9 - 6975824*i\/9 - 2175360 = 0. Calculate i.\nAnswer: -8, -4, 54, 5665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -3. Let l = 15 - f. Let m = l + -6. Which is the third biggest value? (a) 2\/3 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2 + 8 + -5. Let f(b) = 42*b**2 + 3*b - 6. Let c be f(z). What is the highest common factor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 104*q**2 + 110*q + 214. What is the remainder when t(-2) is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16092, 32181, 48270?\nAnswer: 64359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2 - 2)*(20*u - 6 + 6).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 38241924*u**2 + 31*u**3 - 38241924*u**2.\nAnswer: 31*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 70 = -5*i, -3*t + 0*i - 34 = i. Let g = 12 + t. Suppose c = -g*c + 6. Solve 0 = r - 2*d - 4, -3*d - d = 5*r - c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 89*j + 1863. Determine q(-35).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1431768 months?\nAnswer: 0.000119314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4.66 (c) 0.9 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1225455 (base 6) to base 14\nAnswer: 1a107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140.118 - 140. Let h = 0.1491 - d. Round h to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m - 5. Determine u(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Let u(w) = -w**3 + 2*w**2 + w - 1. Let y be u(1). Let o be y\/(-4) + (-7)\/20. Which is the closest to v? (a) -2 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 6*v - 7. Let n(j) be the first derivative of j**4\/4 + 2*j**3 - 7*j**2\/2 - 5*j - 2. Let d be (1 - -4 - 8) + -4. Let q be n(d). Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*c - 2 = 0, -3*t + c - 4*c = 3. Suppose 0 = -5*y + u - 9, 0 = y + 4*u - 641 + 647. Sort -5, t, y.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -364636?\nAnswer: 109390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 404822292 - -3?\nAnswer: 404822295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 330095.9942 - 330135. Let s = 38.972 + 0.028. Let n = s + w. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199855 divided by 27\nAnswer: -199855\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*x - 1707*x**4 - 850*x**4 + 71*x**2 + 258*x - 209*x wrt x?\nAnswer: -61368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 350*n - 22966 + 22966 - 350*n - 8*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -0*o - 5*u, -5*o - 1 = -4*u. What is the derivative of -7*x**o - 3*x**3 - 7 + 6*x**3 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:16 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4 - 3 - 7*f - 1. Let z = -221 + 219. Let u be c(z). Is 7 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17*j)**(-36) assuming j is positive.\nAnswer: j**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -230534 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18085182 = 18085182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -354*d**2 - 31157*d + 2611. Let j(y) = 104*y**2 + 8902*y - 746. Let n(t) = 17*j(t) + 5*m(t). What is the derivative of n(b) wrt b?\nAnswer: -4*b - 4451","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5898.3 - -5900.3. Let s = 0.3 - 0.7. What is the third biggest value in k, s, 0.05, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33182.\nAnswer: 2, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/12 - 5*x**3\/6 + x**2. What is the units digit of p(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*y + 9*y + y)*(y**3 - 39 + 39) + (y**3 - y**3 - 2*y**3)*(-4*y + 0*y + 3*y) + 3*y**4 + 0 + 0 to o + v*y + s*y**2 + q*y**3 + j*y**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*v = -8856601 - 9478145. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 - 920*r + 925 = 0.\nAnswer: -185, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -335, -1138, -2709, -5306, -9187, -14610?\n\"Answer: -43*v**3 + 3*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-1781)\/(25 - 12). Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -0*a. Suppose 2*z + 2 = a*c + 8, -c - 12 = -4*z. Solve -4*k + 32 = 4*d - 7*d, c = 3*k + 4*d + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000623799348 to 6 decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973 and 1298864511?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9. Let c = -78 + 79. Is c at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 23 + 33)*(-50*z + 10*z - 64*z) in the form j + o*z and give o.\nAnswer: -6136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39249 and 1176.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -85. Solve 0*p - y*p + 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i. Let o(c) = c**2 + 6*c. Let q be o(-6). Suppose q*v = -2*v + 34. Let d(r) = 3*r**2 - 20*r. Give v*w(u) + 6*d(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/385 and -97\/2.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let t = 2 - -6. Let f be t\/2 + -1 - 1. Sort f, r, 5 in increasing order.\nAnswer: r, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, 2.5.\nAnswer: -3, 1, 2.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -43.2. Let r = 1 - -4.9. Let x = b + r. Round x to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77.9 - -3.405\nAnswer: -74.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/591 in 0, -12, -0.3, 18\/11, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-8)*b*b*b*b\/(b**(-4)\/b))**(-23) assuming b is positive.\nAnswer: b**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + ((-58)\/(-14) - -4)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 280 + -161. Is (s - 15) + 3 + -1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w**3 - 80*w + 36*w + 45*w to the form f*w**2 + n*w**3 + v*w + u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 15*r**2 + 6*r - 72.\nAnswer: -3*(r - 4)*(r - 3)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1508 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 2*o**3 + o**3)*(-3*o - 75 + 15*o - 11*o) - 2*o + 2*o + 2*o**4.\nAnswer: -o**4 + 225*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2\/43)*c**5*c assuming c is positive.\nAnswer: c**(303\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 49 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a day in minutes?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -29*u**3 + 3*u**2 + u. Let j be n(-2). Suppose 11 - j = -3*o. Calculate the remainder when o is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let j(f) = -f - 13. Let d be j(-18). Let a(b) = 3*b. Let h(t) = d*a(t) + 6*p(t). Give h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0987 + -4.1987. What is the third smallest value in -3, b, 3\/2, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/29 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 35 = -c - 2*n, 0 = c - 4*n + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15 = o - 4*o, 0 = 4*o - 4*q - 24. Solve o*v - 5*l + 15 = 0, 5*v + l = 2*l - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5773705*r**3 - 5774322*r**3 + 11548025*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 5*i + 10 = 12*m, i = 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, c: 1, h: 2, p: 1}. What is prob of picking 1 p, 1 h, and 2 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(121)*2 + 5*(1*sqrt(121) + sqrt(121))))\/(-4*(sqrt(176) + -1*sqrt(176) + sqrt(176) + sqrt(176))*-2).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 3616*y\/5 - 655368\/5.\nAnswer: 2*(y - 1974)*(y + 166)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose 0 = -52*v - 9*v - 12*v + 1095. What is the first derivative of -n**3 - v - 9*n**3 - 11*n**z - 2*n**3 wrt n?\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = -3*y - 0*d, y - 5*d + 2 = 0. Does 3 divide (1 - (y - -4))*-17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/377755 and -28\/248239.\nAnswer: 8688365","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 - 123. Suppose -4*r = t - y, 0 = -3*r + 5 + 10. Calculate the remainder when 124 is divided by t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42103612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/252396 and -115\/168264?\nAnswer: 504792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - p = -65, -5*j + 85 = 41*p - 36*p. Calculate the remainder when 3343 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220503 is divided by 3355.\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54911 + 7?\nAnswer: 54918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-2)\/(-2)). Sort 1\/6, 0.3, h in ascending order.\nAnswer: 1\/6, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 237*b*c**3 - 749*c**3 wrt b.\nAnswer: 237*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13013 != -13013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270, -539, -808, -1077, -1346?\n\"Answer: -269*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, -7 in decreasing order.\nAnswer: 28, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(190)\/(sqrt(30)\/sqrt(3))) + (sqrt(684) + sqrt(684)*1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 56*s**3 - 21*s**2 + 71*s + 143. Let d be k(8). Calculate the greatest common factor of d and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 3 - -2) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 3. Let v(q) = 6*q**2 + q. Let c be v(-1). Suppose -3*i + c*i = 6. Let z be (33\/(-9))\/(-1)*i. Let a(h) = 16*h - 16. Determine z*t(k) - 2*a(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 - 61025*x**2 - 244121*x + 305145 = 0. What is x?\nAnswer: -5, 1, 61029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 1, k: 3, i: 1}. Give prob of sequence iq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g**2 + 34*g**2 + 50*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 7*d - 26. Let f be g(4). Let l be 5*(0 - 1)*-1. Let m = l - f. Calculate the remainder when 53 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s. Let m(g) be the second derivative of g**4\/2 - 29*g**3\/6 - 203*g + 2. What is -2*m(o) - 11*x(o)?\nAnswer: -o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let v(f) = 58*f**2. What is v(u(m))?\nAnswer: 232*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-93)\/(-27))*(2 - (-18)\/(-8)). Sort w, -0.2, 12\/5, -2\/3 in increasing order.\nAnswer: -2\/3, -0.2, w, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192710242913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 35172.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6226 and -99.37.\nAnswer: -618677.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1928\/768 + 31 + (-1950)\/60).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1003 + -857. Solve 55*u - 531 = -h for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*d + 83 - 1420 = 695 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1547928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8954, -9541, -10128, -10715?\n\"Answer: -587*v - 8367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 28. What is the remainder when (2 - 20\/6) + (-736)\/(-12) is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(243))\/sqrt(9))\/((sqrt(9) - sqrt(81)*4) + sqrt(9)) + 4 + ((-2 + -2 + sqrt(432))*5)**2*-5.\nAnswer: -55996 + 59999*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 42. What is the third derivative of -7*f**2 - 2*f**2 - 15*f**i + 16*f**5 - 9*f**4 wrt f?\nAnswer: 60*f**2 - 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/41)*w*w**12*(w**(-5)\/w*w*w)**(-40) assuming w is positive.\nAnswer: w**(7136\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 11*r**2 + 638*r + 18*r**2.\nAnswer: -3*r**2 + 638*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 7 + 18 + 10 + 0 + -25.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 15. Let t be 7 - (-3 + w - 0). Suppose t*j - 5*p - 15 = 0, -5*j + 4*p + 3 = -13. Put -3, j, 0 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/15)\/((-1)\/(3 + 2)). What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7359.9 * -620.5.\nAnswer: -4566817.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10\/3 + 4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - l + 54080 = -3*r, -l = -5*r + 67609. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 81.\nAnswer: 52\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - p - 159, -30*p + 27*p = z + 48. Which is smaller: z or -199\/5?\nAnswer: -199\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-5*56\/(-210)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = v - z + 4, -3*v = -2*z. Suppose 36 = 2*n + n. Suppose m + v*m = n. Solve -2*l - 16 = m*p, 4*l = l + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r. Let n(z) = -z. Suppose -3*m = 1 + 5. Let c = 724 - 725. Let j(w) = c*f(w) + m*n(w). Let x(d) = -8*d**2. Give x(j(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126700336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwk when three letters picked without replacement from {w: 3, f: 5, k: 2, p: 6, y: 1, n: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -28*6\/4*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 16. Let x(t) = 197*t**2 + 8. Let a be x(j). What is a rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 888, -5, -182 in ascending order.\nAnswer: -182, -5, 9, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -58*u + 7. Let v be r(-7). Let q = -62932 - -312606\/5. Let c = q + v. What is the common denominator of 2\/7 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105838 (base 15) in base 13?\nAnswer: 213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(56))\/(sqrt(32)\/sqrt(324)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4040 = -5*y + 34476, 4*a = -4*y + 154016. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893355, -1786159, -2678963, -3571767, -4464571?\nAnswer: -5357375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -2\/57169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**18*y**12*(y**(-2\/11))**(-9) assuming y is positive.\nAnswer: y**(348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let o = -12 + 14. Let b(l) = 10*l - 1. Calculate o*b(c) + 11*g(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 989 + 7003. Solve 407*m = 443*m - w for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19165 is divided by 1741.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14665 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**5\/5 - 12*l**4\/5 + 36*l**3\/5 - 4*l**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 3*v**3 - v**3 + 2 - 2.\nAnswer: 2*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2756, -10854, -24404, -43448, -68028?\n\"Answer: -7*u**3 - 2684*u**2 + 3*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b + 3*g, -47 = b + 4*g - 23. Suppose -d - 3 + 1 = 2*l, 0 = 3*d + 2*l - 6. Calculate the remainder when b is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -182, 588, 3 in decreasing order.\nAnswer: 588, 3, 1, 0, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 455*o**3*s - 4*o**3 - 2*o**2*s - 112*o**2 - o*s + 10 wrt o.\nAnswer: 2730*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.7. Suppose -5*m - t + 1 = -10, 4*t + 13 = -m. Which is the nearest to -0.1? (a) m (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837.13905ns to days.\nAnswer: 0.000000000009689109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*b - 20 + 2, -3*b = 2*r + 6. Solve 6*d - r*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 3*b + 2*b**2 - 32 - 5*b**3 in the form q*b**2 + x*b**3 + z*b + r and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 2)*(-9)\/6. What is the lowest common multiple of 5 and t\/8 - 11\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*t - 66, 6*t - 2*t - 5*o = 133. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 3 + z + 2 + 3. Let f(s) = s**3 + 7*s**2 - 6*s + 6. Let g be f(-8). Let r(v) = -v**3 - 11*v**2 - 10*v + 3. Let k be r(g). Give y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*n + 5, 0*q - 2*q + 3*n = 3. Suppose 0 = -q*u - 4*u + 664. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52175159 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/7 - 27562*o\/7 + 6844200\/7 = 0. What is o?\nAnswer: -14025, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505965559*p**4 - 2425*p**2 - 2*p + 9097.\nAnswer: 12143173416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 588 = -0*x. Let t = -7\/171 + 15247\/684. What is the common denominator of -3*(2 + x\/30) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/322*58177\/33244?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 21*o + 2. Give w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 85878729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -156\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -936 - -933. Let z be ((-525)\/(-70))\/(j\/16). Let w = -20 - 19. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v**2 - 167*v - 12. Let q be f(12). Let w = -94 + 91. Which is the nearest to -14? (a) q (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + 2133?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -140990 divided by 70495\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 147.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 31*r + 1347 = -7725. What is the highest common factor of 126 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 56, 112, 164, 212, 256, 296?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7377 - 0.08\nAnswer: 7376.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Let f = 0.18 - -4.82. Let o = 5.6 - 6. Which is the third biggest value? (a) f (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 1978*v + 19184. Give q(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28*28\/(-24)*((-3648)\/(-2660))\/(2\/5)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 5*c**2 - 5*c + 5. What is the remainder when g(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -43\/2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/1 + -376 + 889. What is the greatest common factor of 1311 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvvvjvjvajj. What is prob of sequence jaaj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10584192 divided by -123072.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -43\/9*j + 0 + 1\/9*j**2 = 0. Calculate j.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145 - 154) + (6 + 74 - 8) + (1 - -1).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 - 245405166*o - 5018641291623963 = 0. What is o?\nAnswer: -40900861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -59.450281.\nAnswer: 59.150281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 161, 173, 173, 155, 113, 41, -67, -217?\n\"Answer: -q**3 + 19*q + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111 (base 2) to base 5.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 0.3 (c) -957\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) 0.5 (c) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 185*t**2 + 170*t + 360.\nAnswer: 5*(t - 36)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129803141.\nAnswer: 13, 37, 421, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -11.78211?\nAnswer: -25.78211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -25452\nAnswer: -17\/25452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9250431 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.9 - -6.9. Sort -4, x, -5 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) -0.037 (c) 0.3 (d) 2\/693 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56122, -224107, -504066, -895999, -1399906?\nAnswer: -2015787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072460771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m = -70. Suppose -m*h = -37*h + 540000. What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792153.2 years to months.\nAnswer: 9505838.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4107 divide 932172532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.05, -5, -1.8, -2\/77, -1\/3, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-11)\/((-55)\/(-120)). Let b = 43 + m. Solve 3*x = -0*x - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47473 divided by 29?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**3 - 4*m**2 + 4*m - 62. Is h(6) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-6)\/10*-2)\/((-177)\/354).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17685299\/7820 - 3147\/460. Let h = t + -2254. Let p = -74\/153 + h. Which is the nearest to -1\/2? (a) p (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -13*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*u - 44, -5*w - u - 55 = -4*u. Let l(n) = -n**2 - 13*n - 15. Calculate the lowest common multiple of l(w) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 115?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -2, -3.\nAnswer: -8, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 48*m**2 - 22*m + 10. Suppose -3*p + 7*p - 20 = 0. Let i be w(p). What is i rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-3\/11)*z))\/(z\/((z\/(z\/(((z\/z**(2\/97))\/z)\/z))*z)\/z))*(z\/z**(-16\/7))**(2\/67) assuming z is positive.\nAnswer: z**(-325180\/500423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i - 2*i - 9*i + 21*i**2 + 2*i.\nAnswer: 21*i**2 - 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-2*d**2 - 5*d + 5*d) - 4 + 2 - 17*d**2 + 15*d**2.\nAnswer: -4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76023184 divided by 272\nAnswer: 279497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-15*(-92)\/(-690))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308676213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7187.37368 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37074 = 1359*f + 18640 + 4082 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1289045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 8*p**2 + 10*p**2 - 5*p**3 - p**3 - 1 in the form r*p + y*p**3 + z + q*p**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5339844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3797817?\nAnswer: 3, 17, 113, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.3 to zero decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 25. Let c(t) = -t. Let x(a) = 4*c(a) - i(a). Let b be x(-6). Let q be (-3 + (b - -5))*(-1 + 1). Solve -2*l - l + 12 = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6499 + -6496. Find h such that -1\/2 + 0*h**2 + h**w - h + 1\/2*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -152*d**4 - 10*d - 74. Let k(l) = -51*l**4 - 3*l - 25. Let b(n) = 10*k(n) - 3*m(n). Find the first derivative of b(h) wrt h.\nAnswer: -216*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 + 14 - (0 + (141 - (1 + -2)))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249717 and 21546.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1326 + -2?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/110218?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -122858*v**2 + 77*v + 6. Let c be p(26). Round c to the nearest 1000000.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101000101 + -110111?\nAnswer: 110111100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/2 - 84686415*n - 169372829\/2 = 0.\nAnswer: -169372829, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 8 - 178*x + 1 - 1 + 3*x.\nAnswer: 2*x**2 - 175*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 2391\/1487, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -57, 1, 248.\nAnswer: -57, 1, 11, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b - 28. Let t be k(17). Let m = t - 78. Is -2 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249336 by -3.\nAnswer: 83112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066*o - 9807 = 2358*o - 3675 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79958*j + 33792 = -79606*j for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883867 (base 11) in base 10?\nAnswer: 3182131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155330953 or 155330949?\nAnswer: 155330953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 18*n + 4*n)*(4*n**4 - 3*n**4 + n**4) + (2 - 2 - n)*(2 + 2*n**4 - 2) - 4*n**5 + 3*n**5 + 3*n**5.\nAnswer: 44*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2396 (b) 178 (c) -1\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 388 = -2*d, 2*d = 5*v - 94 + 530. What is the biggest value in -0.06, -0.2, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/2 (c) 1 (d) 0.7 (e) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = 11. Suppose -4*f + 4160 = 9*f. Calculate the highest common factor of v and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/42*21)\/((-14)\/252)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5638502950 and -0.64.\nAnswer: 5638502949.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59309828 to the nearest integer?\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779941 (base 13) to base 6.\nAnswer: 140241021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*b**2 - 13*b**2 + 3*b**3 - 14*b**4 + 8*b**2 in the form m*b**3 + l + w*b**2 + v*b**4 + n*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.3. Let y = 0.1 + r. Let s = 0.1 - -0.9. Put -0.4, y, s in descending order.\nAnswer: s, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-1 - 5) + -6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1309*m**4*n**2 - m**4 - m**3*n**2 + 5*m**2*n**2 + m**2*n + 3*m**2 - 116*m*n**2 wrt m.\nAnswer: -31416*m*n**2 - 24*m - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1522, 3033, 4554, 6091, 7650, 9237?\n\"Answer: k**3 - k**2 + 1507*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 8 - 8 - 3*h**2 + 1 - 1 + (4*h - 2*h - 3*h)*(-2*h + 1 - 1) - 2 + 2 - 2*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 140*d**3 - 3987*d**2 - 63992*d - 202160.\nAnswer: -(d - 76)**2*(d + 5)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**5)\/(p\/p**(4\/9)*p))\/(p**(-8)*p*p\/p**(-1\/5)) assuming p is positive.\nAnswer: p**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u + 2. Let d be b(-7). Let x(t) = -2*t**2 + 25*t + 2. Let r(v) = 2*v + 3. What is the remainder when x(d) is divided by r(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 23 = d - 247, -2*d - 5*x = -540. Let s = -191 + d. Calculate the greatest common factor of s and 632.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**7\/42 + x**4\/12 + 10*x**3 + 116*x. What is the second derivative of p(m) wrt m?\nAnswer: 20*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let m = -7 - -14. What is the remainder when 3\/q*26\/6 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 2, o: 11, g: 1, p: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 29. Suppose -p = -5*z + 3*z - o, -p + 41 = -5*z. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2 + (-2 + 5 - 4)*(1 + 1 + 0) - 4268 - 3540 + 7082)*(o + 3*o - 5*o)*(1 - o - 1).\nAnswer: -729*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*l + 96 = 0, -4*y + 4*l = -9*y - 375. Let c = 67 + y. Let d(w) be the third derivative of -w**4\/24 + 5*w**3\/6 - w**2. Determine d(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-10))\/((-5)\/(-325)). Suppose -546 = 7*c - d*c. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2868 (b) 1442 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - 121 - ((25 - 115) + 80).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:01 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8048 divided by 10.\nAnswer: 4024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + (1*sqrt(16))\/sqrt(8))) + sqrt(2) + (sqrt(162)*1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 + w**2. Let m be g(1). Let f(k) = 0*k + k**3 - m*k**2 + 3*k - 4*k. Let x(y) = -y**2. Let c(s) = f(s) - 5*x(s). Factor c(b).\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25402455, 50804913, 76207371, 101609829?\nAnswer: 127012287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -242. Let n = t + -174.92. Which is the fourth biggest value? (a) 2\/7 (b) -0.1 (c) -0.3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1259, 2514, 3767, 5018?\nAnswer: 6267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*y + 264*y + 353*y)*(2*y + 2 - 2)*(1 + 1 - 4).\nAnswer: -2228*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.62 - 99.54. What is d rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -3, 2.\nAnswer: -11, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406347 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = -o - 8, -5*o - 55 = -5*c. Let y = o + 43. What is the remainder when 96 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200))\/sqrt(4) + sqrt(300)\/(sqrt(6) + sqrt(18)\/sqrt(3)))\/(sqrt(1000)*-2 - -1*sqrt(20)\/sqrt(2)).\nAnswer: 3*sqrt(5)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 2*v**3 + v**2 - 62*v**2)*(-v + 0 + 0).\nAnswer: 2*v**4 + 61*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 110\/33*(1 + (-159)\/15). Suppose 0 = 2*q - 6, 4*d - 3*q = -99 - 142. Let y = r - d. What is the highest common divisor of y and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 217 (b) 2\/13 (c) -1876\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 * -2.8677\nAnswer: 1.089726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*c + 3309 = 0, 2*k + 1328 = -5*c + 2*c. Let d = -78 - k. What are the prime factors of d?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 15*o**2 + 21*o - 14. List the prime factors of a(-13).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -3. Suppose -3*u - 202 - z = -4*x, 52 = x - 3*u. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 179799.81 and 9.31.\nAnswer: 179809.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*y**4 + 252 - 18*y**2 - 252 wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 2*z + 3*p - 108, -3*p + 24 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 2. Suppose 19 = 2*r - 2*w + 9, -2*r - 4*w = -40. Let p(n) = -n - 1. Calculate r*p(f) + 6*g(f).\nAnswer: 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 2*l - 199. What is the remainder when 188 is divided by w(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.202 - 0.298. Let y = -0.03 - 3.97. Let l = -11 - y. Which is the nearest to l? (a) -1 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -16 + -12 + 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.162 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100111 + 101?\nAnswer: -11110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -36. Suppose o*u + 3*u = -3*k - 21, 10 = -5*u. Let t = -0.3 - -0.4. What is the nearest to 2 in t, k, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o**2 + 40*o**2 - 636*o**3 + 314*o**3 + 310*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44293*w**3 - 25888*w**3 + 15088*w**3.\nAnswer: -55093*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 divided by 3?\nAnswer: -916\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 5*g**2 - 7*g. Let m(s) = s**3 - 6*s**2 - 7*s. Determine 5*m(j) - 6*r(j).\nAnswer: -j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffllggfgfglggl. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 370487853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -226928549*j + 152066867.\nAnswer: -226928549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/2)\/(13*52\/(-338))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 14*l - 128*l + 861 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181000474?\nAnswer: 2, 3, 13, 61, 1088903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139567 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.40638 decades to years.\nAnswer: 574.0638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.182 + 0.181862. Round z to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -190*k**2 + 3991*k - 31. What is b(21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/5 + 24\/(-30). Suppose -2*v = 4*z - 42, 0*z + p = 2*z + 4*v. Solve 4 = 11*k - z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -0.04 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by -4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.3. Let y = g - 2.9. Let w = 0 + -1. What is the third biggest value in y, 0.5, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, b: 4, r: 4, m: 2, h: 1}. What is prob of picking 1 r, 1 m, and 1 h?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/33 and -71\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(1872)*3)**2 + -3)*3 + 3.\nAnswer: 808698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 267\/8, 30986, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8437 and 3127.\nAnswer: 447161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 2*m + 4, 4*g + m - 3 = 0. Suppose -p = -g - 38. Find the second derivative of -22*i**2 - p*i**2 + 45*i + 35*i**2 wrt i.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 12*k - 288. Let t = 41 + -41. Let v(w) = -36 + k + t*w + w. Calculate v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*i + 4, -5 = c - i + 6*i. Let z = 9 - c. Suppose 0 = -z*d + 2*d + 38. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(245)*2*4 - sqrt(245)) + sqrt(245))**2 - (-2*(-3 + sqrt(5)) - (2*2*sqrt(5))**2).\nAnswer: -62646 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -787 + 9674067780\nAnswer: 9674066993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 62039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5229*f - 52277. Determine o(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6)*v*v**(-3))**(2\/7) assuming v is positive.\nAnswer: v**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 3, u: 2, d: 3, i: 1}. What is prob of picking 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -1\/3, -1, 0.8 in descending order.\nAnswer: 0.9, 0.8, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101232925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 105 in ascending order.\nAnswer: -2, 0, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1724 and 15319895?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20*y**(-2))\/(y**(-1\/3)*y)**(46\/3) assuming y is positive.\nAnswer: y**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 12 = 18*p + 9*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:51 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 12. Let a be ((-4)\/(-10))\/(2\/5). Suppose q = 0, -3*w = 2*q + 3*q. Put a, w, k in decreasing order.\nAnswer: k, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -202, -365, -516, -649, -758, -837, -880?\n\"Answer: s**3 - 170*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-25))\/(126\/(-189)) + 16\/20.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -10.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, 52, 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*a + 408*a = 407*a - 3154 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcccqxcxqxqc. Give prob of sequence cqx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjzppzrsjjpjzej. What is prob of sequence ssz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1057, -0.07, 15 in increasing order.\nAnswer: -1057, -2, -0.07, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151195887?\nAnswer: 3, 16799543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -101*c + 100*c. Solve -c*w + 8 = -17*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/15 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**6\/6 - 9*b**5\/5 + 115*b**4\/4 + 271*b**3\/3 - 5*b**2\/2 - 10648. What is the third derivative of x(h) wrt h?\nAnswer: 60*h**2 - 216*h + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:55 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 685118 = -41*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 79 - 5) + 30 - 64.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -17*i - 12. Does 12 divide (390 - i)*(-8)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**4 - 30*f**3 + 40*f + 12. Let q(i) = 12*i**3 - 5 - 4*i**4 - 9*i + 0 - 7*i. Let r(w) = -5*j(w) - 12*q(w). Determine s, given that r(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 406*c**3 - 410*c**2 - 406*c + 408.\nAnswer: 2*(c - 1)**2*(c + 1)*(c + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 34, 11, -30, -95, -190, -321, -494?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 6. Let b be i(-3). Let y = -10 - b. Let x(p) = p**2 + 10*p - 1. What is x(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (-15 + (-15 - -32) + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 67.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3228, 3759, 4632, 5847?\n\"Answer: 171*i**2 + 18*i + 3039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 + 161. Suppose 0 = 5*s - 2*l - 58, 78 = 3*s + f*l + 60. Calculate the least common multiple of s and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -36.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 - -214. What is the units digit of (395 + -2)\/((-3)\/2 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92792 and 2255177.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106024*n - 908 = -106069*n + 667 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*g**2 + 4*g**3 + 5593 + 153*g**2 - 2*g**3 - 308*g**2.\nAnswer: 2*g**3 + 5593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.9 and 6.8223765.\nAnswer: -14.0776235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2448 and (-3 - 78\/(-28))\/(6\/107).\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + 51. Let v = 113 - r. Calculate the remainder when 113 is divided by (v - -1) + -1 + 4*5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2838 = 3*f, -3*f - 4086 = -5*x + 3027. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:35 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7098691 or 7098684?\nAnswer: 7098691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - -1 - (1 - -2). Let t(c) = -2*c**2 + 47*c - 20. Let v be t(23). Solve -4*w = -2*s + 1 - v, -s - g = 5*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y + 0*y**2 - 2\/15*y**3 + 1\/2*y**4 + 2. Solve v(h) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 2679.\nAnswer: 326838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339822, -7, 2.\nAnswer: -7, 2, 339822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/9 - 776*u\/9 - 62150\/9 = 0 for u.\nAnswer: -275, -113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5082 and 892626?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*q - 61 + 41, -q = -3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3601.631 decades to millennia.\nAnswer: 36.01631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625281039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 2*m**2 + 2 - m**3 - 5*m + 1 + 1. Let f be p(-6). Let r(c) = -c**3 + 10*c**2 + c - 11. Let g be r(10). Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c - 6 = -2*n, -3*n = 4*c - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51888381?\nAnswer: 3, 17296127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 33*d + 100. Suppose -2*s + 23 = c, -21 = -c - d. Solve s*r + 9 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3 (c) 1\/7459 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 1.93. Let w = -2 + s. What is the closest to -2 in 5, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10662 + 10662 - 20*a**3.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*k + 5*c - 77 = 0, 0 = -2*k + 5*c + 22 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from xdqdnxddxqn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*z - 2332 = -390*z + 498 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001 (base 2) to base 10.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Suppose -28*y + 1290 = -286*y. Sort 3, y, f, 4 in decreasing order.\nAnswer: f, 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 + 4 = 0. Let l(q) = -q**2 - 10*q + 7. Is l(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjancncnaaaaan. What is prob of picking 1 j and 2 c?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 + 177*f + 31. Let s(z) = -2*z**2 + 59*z + 10. Let y(w) = 3*r(w) - 8*s(w). Let j(l) = -2*l**2 - 30*l - 6. Calculate 13*j(u) + 6*y(u).\nAnswer: -2*u**2 - 36*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 8417170.\nAnswer: 27\/8417170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 14218\nAnswer: -1706.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w + 1. Let f be ((-2009)\/(-1722))\/(((-1)\/(-1))\/6). Sort 5, 1, w, f in decreasing order.\nAnswer: f, 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let v be (-1 - w)*(-6 + 5). Let x = 8 - v. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 285864*l - 47453421. Determine o(166).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 + (-12 - -12). Is (-3 - r) + 125 + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5\/2, 0.1, 180?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.21877\nAnswer: 0.087508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 127, 5, -0.2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0 - 3\/2*g**4 + 126*g**2 + 27*g**3 + 132*g = 0?\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 594 + 5?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 270321574 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-43)\/602).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 7*a - 10*a. Solve a*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6547.95 millennia to months.\nAnswer: 78575400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3656.121.\nAnswer: 14624.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = 19*o - 2545. Calculate the remainder when o is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 57.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (-2 + sqrt(500))*-6))**2.\nAnswer: -18360*sqrt(5) + 164601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = 0, 2*c = -4*d - 37 + 9. Let h(a) = -a**2 - 8*a + 4. Calculate h(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*v = 403*v - 238. What is the remainder when 255 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266.9 plus -1094.33?\nAnswer: -3361.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85.4 - -22.6. Let u = i + -105.82. Round u to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 - 4*i + 2)*(-i + 0*i + 2*i) to u*i**2 + g + w*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.845024 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-1 + 0)*(-36)\/48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72279 + 5?\nAnswer: 72281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 889\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + -47. Calculate the remainder when s is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 36. Let n(x) = 20*x + 106. Calculate 17*h(q) + 6*n(q).\nAnswer: q + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -626\/91 + 95\/13. Which is the second biggest value? (a) 25 (b) 0.01 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 59*c**2 + 12*c + 11. Let w be d(6). Suppose -5*o + w = 7*o. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:21 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -29, 333 in increasing order.\nAnswer: -29, -4, -0.3, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.499667 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 6a?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*8\/(-12)*(-43260)\/280. Which is smaller: 160 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -24989603.268?\nAnswer: -24989607.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 3*c + 177*c**2 - 4*c + 143*c**2 as u + h*c + g*c**2 and give g.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o = 4 + 108. Find n, given that 192*n**3 + 5*n**4 - 17*n**4 + 8*n**o - 2304*n**2 = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*c**3*g**2 - c**3*g + c**3 + c**2*g**2 + 3*c*g**2 - 263*c - 36 wrt c.\nAnswer: -1110*g**2 - 6*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (2 + sqrt(1900))) + -1 + 4 - -2*(sqrt(19)*2*-1*6)**2.\nAnswer: 5473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 - 12 = 0. Suppose 3*y + 4*q - 1220 = -y, y = q + 303. What is the units digit of (-10)\/d*y\/(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - -4) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 171.5563 tonnes?\nAnswer: 171556.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.6 + 0.1.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54888 by -3.\nAnswer: 18296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 4*x - 2*x - 2*x**2)*(11 + 5*x**2 - 11).\nAnswer: 15*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1866447 and 3.\nAnswer: 1866447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + sqrt(10)\/sqrt(5)) - (2 + sqrt(128)))**2.\nAnswer: 56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21783 is divided by 1814.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 130 = 3*l. Calculate the remainder when 21\/l*38\/3 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t = -294*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Which is the closest to 0.1? (a) 5 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 225. Let h = -41 - y. Suppose -h*j - 4*t = -796, 2*j + 4*t = t + 403. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 25*t + 27*t + 1 - 11*t - 12*t. What is a(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/((-108)\/17211))\/(-2). Let m = o - 731\/3. Calculate the common denominator of 2\/(-8)*(-426)\/(-9) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**(1\/2)*((d*d*d**(-7\/4)*d)\/d)\/d**(-6))**(-1\/14) assuming d is positive.\nAnswer: d**(-3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2386)\/(-6))\/(-4 - (-845)\/210)?\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 134.4 (b) 7 (c) -0.5 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-909)\/(-99) + (-4)\/22. Suppose -b - d*b = -1120. What is the greatest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k**2 - 12*k**2 - 2*k**2)*(4 - 4 - 2*k)*(11 - 11 + 9*k) + 2*k**4 - 5*k**4 - 4*k**4 in the form p*k**4 + a*k**2 + r*k**3 + y + o*k and give p.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123099445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 2*z + 5*z. Let i(c) = -8*c. Give i(a(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + -0.13. Let p = 0.06 - h. Suppose -m - 14 = -2*u - 2, 3*u - 12 = 0. Which is the nearest to 1\/3? (a) -1\/6 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -2\/2555, 12.1, 0.4, -3?\nAnswer: -2\/2555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140448504 divided by 358287?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -173, -443, -957, -1793?\nAnswer: -3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31107.5 and -27.\nAnswer: -31134.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -523*c*i*n**2 + 55*c*i - i*n**2 + 2415*i - 2*n**2 + 5*n - 2 wrt c?\nAnswer: -523*i*n**2 + 55*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2003.18*512.\nAnswer: 1025628.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 87941019 and 87941019 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 2, h: 3, u: 6, r: 4}. Give prob of picking 2 z.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3 - -7) + (559 - 559)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1488a?\nAnswer: -14885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Let u be r(1). Let w be u\/((-2)\/2) + 3. What is the second smallest value in -0.3, w, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjo when three letters picked without replacement from {j: 2, v: 1, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -u - u - 2*w, -u + 2*w + 12 = 0. Suppose -u*g + g = -36. Is 36 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/5 + 261*g**3\/5 + 5838*g**2\/5 - 6084*g - 309960 = 0. What is g?\nAnswer: -41, -30, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0*z - 45. Let c = 16 + z. Suppose -c - 35 = -2*q + 4*y, -3*q + 5*y = -64. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-9)\/7)*(-7)\/(-12). Let c(k) be the second derivative of 5*k + k**2 - 1\/12*k**4 - f*k**3 + 0. Factor c(o).\nAnswer: -(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -37. Suppose 2*k - 10 = -3*p, 0 = -4*p - 0*k - 3*k + f. Let d = p - 1. Put d, -2, -1 in descending order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7863 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -v + 5*u, 2*v - 58*u + 55*u - 1133 = 0. List the prime factors of v.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - 10 - 56 - 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/8)*c*c**(-13)*c*(c\/((c\/c**(-2\/5))\/c*c))\/((c\/c**(2\/5))\/c) assuming c is positive.\nAnswer: c**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 377573*c - 96904 wrt c.\nAnswer: 377573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 39.7. Which is the nearest to 19? (a) d (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*f + 8, 0 = 4*f + 5*a - 9 + 12. Suppose -4*b - 2*h = -14, -2*h - 23 = -4*b - h. Put b, -1, f in decreasing order.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.183 - -117.7\nAnswer: 117.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -13*p**3\/3 + 11*p**2 - 2*p - 38. Find the second derivative of f(g) wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*s + 163 + 185, 5*s + 5*g = 425. Let m be -1*s\/(2 - 4). Let z = m - 23. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 120295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 = -i - 5*n, 2*i = 3*n + 45. Calculate the smallest common multiple of i and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 27012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + o)*(2*o - 4*o + 0*o) + 4 - 2*o - 4 + 2*o**2 + (2*o + 0*o - o)*(-6*o - 15*o - 21*o) - o**2 - 3*o**2 + 6*o**2 + 3*o - 3*o - o**2.\nAnswer: -35*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (2 + -2*-1*sqrt(720) + 5 + -3)**2.\nAnswer: 192*sqrt(5) + 2901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103780 or -1.4?\nAnswer: -103780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19621468809 + -0.4?\nAnswer: -19621468809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {a: 2, q: 4, e: 8}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2456448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**3 - 112*s**2 + 28404*s + 28512 = 0.\nAnswer: -99, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5756 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: Does 393 divide 24482807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.034*1059.09\nAnswer: 36.00906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 608\/(-1368)*(-3)\/(-26)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 35250196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 44*f\/3 + 3584.\nAnswer: -(f - 84)*(f + 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x - 7. Let f = -86 - -91. Let q(w) = 20*w + 20. Let s(v) = f*q(v) + 14*z(v). Let b(t) = t + 1. Determine -4*b(a) + 3*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - 4. Let k(u) be the third derivative of -u**4\/3 - u**3\/2 - 4*u**2. Let c(f) = -5*k(f) + 6*t(f). Let j be c(-6). Solve q = -j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -1, -1\/8, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3*q + 0*q**2 + 0*q**5 + 1\/45*q**6 + 0*q**3 + 0 - 1\/18*q**4. Factor u(s).\nAnswer: 2*s**2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:24 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/3*(1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1489*w**3 + 2993*w**3 - 1502*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2 + 11*a - 9. Determine h(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 18992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93530.93 years?\nAnswer: 935.3093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let f(i) = 211358962*i. What is f(o(k))?\nAnswer: -211358962*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 2*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148797173 is divided by 2764?\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose n*w = -3 - 12. Let y be 54\/10 - (-2)\/w. Solve 0 = 2*h + 1 + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 6. Let n(d) = 3. What is 6*n(i) - 3*p(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 560*m - 564*m + 528. What is the greatest common divisor of 1068 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00232 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3696325*d**3 + 96*d - 3142 wrt d.\nAnswer: -22177950*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -106c2a (base 14) to base 13\nAnswer: -1664c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 7 + 31 = 3*f, 6*f = 7*j - 12*j + 75 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264 - -10?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-292696)\/(-6))\/((-164)\/24 + 7). Suppose -w = -2*s - 977992, -2*w - s + 1663308 = -p. What is w rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, r: 2, v: 1, c: 2}. What is prob of sequence vnc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 + 3. Let t be k(6). Let x(y) = -5*y**2 - 6 + 4*y**2 + t + 1 - 6*y. Give x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -23.\nAnswer: -159\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2831*d**2 - 2832*d**2 + 18*d - 2 - 6*d**3 + d**3 + 16*d to c*d**3 + g*d + i*d**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from {u: 12, o: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/14*(19110\/(-180))\/(-91)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -401, -878, -1355, -1832, -2309, -2786?\n\"Answer: -477*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-21)\/(-6)) - (-6)\/(-3). Let i(y) = y**2 + 3*y - 2. Give i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60\/7 in 4, 25, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -56*p**2 - p. Suppose -14*g + 43 - 15 = 0. Let k(v) = -99*v**g + 50*v**2 + 51*v**2. What is k(h(n))?\nAnswer: 6272*n**4 + 224*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -2*t. Solve -21 = 3*x + x + z, 5*z + 15 = -t*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + s**2 + 3)*(3*s - 2*s - 3*s) - s + s + s**3)*(-s - s + 0*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 + 668*y. Let d(h) = 7*h**2 - 445*h. Give -7*d(z) - 5*x(z).\nAnswer: -4*z**2 - 225*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1596\/(-133))\/(((-14)\/4)\/(-7))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -63. Let l(h) = 8*h**3 + h**2 + h. Calculate l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*c - 1 + 0 - 790*c**2 + 1 - 215*c to w*c + b*c**2 + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 866 - 866. Let u = 85 - 21. Suppose j = 2*t - 282 - u. List the prime factors of t.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.92 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 6840\/(-80)) + (-119)\/14\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgd when three letters picked without replacement from {g: 1, d: 5, h: 9, l: 1, e: 2}.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.1. Let n = -15 - 3. Let w = n + 18.1. What is the second biggest value in g, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 8*o - 12. Let a be q(-9). Suppose -4*s = 4*c + 20, -25 = -2*s - s + 5*c. Put a, 2, s in ascending order.\nAnswer: a, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*p**2 - 159 wrt p.\nAnswer: 212*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 24335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646706594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let l(s) = -5. Let d(w) = -l(w) - 2*u(w). What is the smallest common multiple of 30 and d(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9659 is divided by 1598.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - 12. Let k = v + 50. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + i**3 + 9*i**3 + 2*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*g + 2)*(g + 2*g - 10*g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - y**2 + 27*y - 42 in the form q*y + k*y**2 + j and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-1\/8)\/n*n*n)))**(1\/14) assuming n is positive.\nAnswer: n**(15\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*a - 2206 + 2212 = 0, -2*l = -4*a + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*z**3 - 8*z**2 + 0*z - 1 - 178*z**3 + 347*z**3 + z to the form u*z**3 + c*z**2 + j + p*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6) - (-2)\/3. Suppose m = -2*j - 9, v*j - 42 = 4*m - 18. Let w = m - -3. Let r(f) = f**3 + 4*f**2 + 2*f + 4. Give r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-546)\/4))\/((-108)\/162)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 and 4\/93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 divided by -6?\nAnswer: 556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5108 = -3*n + 7291. Suppose h - r - n = 3*r, -3*h + 12399 = 4*r. Let k = h - 2083. Round k to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23014952222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 2*a**2 - 1. Let w(r) = -r**2 - 6*r - 1. Let h be w(-6). Let n be j(h). What is the remainder when (-2 + n)*(-2 + 13) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 6. Let a(q) = -4*q**2 + 22*q - 37. Let x be a(2). Give f(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/4 - 519*x**3\/4 - 1797*x**2 - 3081*x = 0?\nAnswer: -158, -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 861\/(-6))*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5897497 to the nearest integer?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 4. Let o(t) = t**3 + t**2 - 2*t - 2. Let u be o(-2). Let r(w) = w + 1. Determine u*r(k) - c(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*24\/(-100)*521\/7294?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-225)\/10)*(-32585)\/266.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 21 - 145. What is the greatest common factor of z and 5735?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 64328?\nAnswer: 102924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-42)\/35)\/((-466)\/465 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 313 + -286 - (23 - (5 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = w + 21, 2*r + 8*w + 53038 - 53120 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-1 - -2108)*48\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.032997 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - n = 6, n + 5 = s + 4. Find the second derivative of 9*x**3 - 8*x**s - 9*x**3 + 3*x wrt x.\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/2*o**4 + 0*o + 0*o**3 - 1\/2*o**2 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/60)\/((-33)\/264). Let c(r) be the third derivative of 2*r**2 + 0*r - 1\/50*r**5 + 0 + 7\/60*r**4 - a*r**3. Determine n so that c(n) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - (-250)\/75. Suppose 3*j + 0*j - b*k = -912, 5*j + 5*k + 1530 = 0. Let i = -43 - j. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-72*y - 55 + 55)*((-6 + 5 + 2)*(-y + y + 2*y) - 4*y - y - y - 3*y + 5*y - 4*y).\nAnswer: 1296*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:46 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 9:12 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77152873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 5 - 56*p**3 - p**4 + 57*p**3 + 4 + p**2 to the form j*p + q*p**4 + o*p**2 + n + v*p**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9 + 11 = 0, 5*z = 3*b + 67. Let h be z + -8*(-15)\/20. What is the greatest common factor of h and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -4*r - 3*b + 12 = b. Suppose -5*z + r = -7. Let o(w) = w - 2. Let s be o(-3). Sort s, z, 0.\nAnswer: s, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2 + 0 - 1 + 0 + (-6 + 3 + 1)*(-3 + 5 - 1) - 5 + 6 + 3)*(0*s**5 - 4*s**5 + 2*s**5).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128.4 + -120967.\nAnswer: -121095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 3, o: 3, k: 9, i: 2, h: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 20.5, -2\/5, -0.8, -0.1, -2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3344 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 - 2*s - 3. Let j be z(4). Suppose w - 9 = -j*u, -4*u - 5 - 3 = -3*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8019\/(-99) - -98)*(-1)\/(-51).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 634384 and 62992.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skkssskspskss. What is prob of picking 1 p and 3 s?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -524 + 524. Let i = -1758 + 12326\/7. What is the biggest value in p, i, 2\/25?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76 - 76 + 82*t**2)*(-7 + 7 - 4*t) to the form o*t**3 + l*t**2 + u*t + g and give o.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*o - 15 = -7*n, 0 = -2*o - 8. Let c(w) = 2*w - 1. What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x + 114. Let q be a(-7). Let y be 14 - q - 10\/2. Solve -y*l = -13*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77727993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 + 820*h - 33620 = 0?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85359.85mm in micrometers?\nAnswer: 85359850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 273876267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -11 (c) -3\/4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -12.9168.\nAnswer: 322.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqqjqqgjqqqjgjjjjjj. What is prob of picking 2 j?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2)\/5 - (-31521)\/285. What is the derivative of -a - 2*m**4 + 88*m**2 - 63*m**2 - m**4 wrt m?\nAnswer: -12*m**3 + 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 16*t - 19. Let z be h(-18). Solve -4*f + 3 = -z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8008*k - 4112*k + 4*k**3 - 3896*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2262658, 4525312, 6787966, 9050620, 11313274?\n\"Answer: 2262654*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785124*t = -785192*t - 6052 for t.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (-14 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 80682544.\nAnswer: 726142896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(85)\/sqrt(5)*-5)**2 - (0 + sqrt(17))*1)*1.\nAnswer: -sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.061.\nAnswer: -0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -95*y**2 - 38 - 91*y**2 + 27*y + 289*y**2 + 12 - 97*y**2. What are the prime factors of w(5)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 51*i + 6. Let l be u(10). Suppose -6*q = -0*q - l. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-77)*(369\/450)\/(-41).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 61, 128, 239, 406, 641, 956?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/40 and 85\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4289571, 8579162, 12868779, 17158434, 21448139, 25737906?\nAnswer: 30027747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11064 (base 8) to base 10\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062732158?\nAnswer: 2, 23, 67, 344819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -734\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 69 - 46. Let s be 140\/2 - (1 + -3). Suppose -5*d + s = -j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -8305 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114212121 + -10?\nAnswer: -1114212131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:04 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**4 - 3*s - 12. Let b(g) = -g**4 + g + 1. Let t(a) = 3*b(a) + k(a). Differentiate t(j) wrt j.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 13) in base 6?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d - 102 - 154. Let w be 1*(d\/4 - -5). Which is smaller: w or -4\/33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 89, 15, -119, -331?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, p: 1, u: 2, s: 2, o: 4}. What is prob of sequence ppsp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(3 + 1 - 3)*(3*u + 11 + 8*u - 3*u + (u + 3*u - 2*u)*(2 + 2 - 3) + 2*u - 3*u + 3*u).\nAnswer: -12*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n)**(-18)\/(n**(-15))**26 assuming n is positive.\nAnswer: n**(1878\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8a (base 13) in base 6?\nAnswer: -31150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 4, -3, 2\/55 in ascending order.\nAnswer: -3, 2\/55, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185639.\nAnswer: 73, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 13.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 5*v - 2*v. Let h(q) = -4*q**2. Let w(s) be the second derivative of -s**4\/12 - 3*s. Let i(g) = h(g) - 3*w(g). Give i(a(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4824 = -j + 4815 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - 213414659 + 106707228 + 106707431.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + (sqrt(931) - sqrt(931)*-2) + sqrt(931) - sqrt(931)) + (sqrt(931) - 6*(sqrt(931) + sqrt(931) + 0 + sqrt(931))))**2 + 0.\nAnswer: 1568*sqrt(19) + 364984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 4, g: 4, l: 1}. What is prob of picking 1 g and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 3 - 3 - d + d - d**2 + (2*d + 0*d + 0*d)*(-4*d + 0*d + 5*d) + 2*d**2 + 5*d**2 - 6*d**2 + (-3*d - d - d)*(-2*d + 4 - 4).\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 4*g - 2. Suppose 19 - 2 = 5*m - d, -23 = -2*m - 5*d. Calculate s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5169*v + 406*v - 97594 - 102452 = 0 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 4 + 21 - 65*c - 7 + 5*c.\nAnswer: -61*c + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4. Let b be m(4). Let p = b - -23. What is the remainder when p is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-4)\/96*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - c = -16, 2*x - 215*c - 2 = -211*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -20*p. Which is smaller: 3\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1171 - 287. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16907031*t**2*y**2 + 146*t**2*y + 2*t**2 + 2372*y - 2 wrt y.\nAnswer: 33814062*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by 1022?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 - 191. Let n(j) = -3 + 0*j**2 + 6*j**2 + 2*j + 0*j - j**2. Calculate the remainder when n(l) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 8*v - 5. Let q be f(-6). Let r = 7 - q. Suppose -3*w = o - 35, 50 = 2*o - 4*w - r. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 372 + -369. Let p(v) = -2*v**2 - 7*v. Let d(q) = -5*q**2 - 15*q. Give z*d(y) - 7*p(y).\nAnswer: -y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - g**2 - 2*g - 1. Let c be (-6)\/(-6)*(-2)\/2. What is k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 19*m**2 + 88*m + 2742. Calculate d(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4337 times -1922?\nAnswer: 8335714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15970727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.56 + 58.73. Which is greater: t or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058 * 0.2\nAnswer: 411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let c = -34.5 + 34. What is the third biggest value in l, -1, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1522 - 2142. Let h = x + 686. What is the remainder when 129 is divided by h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*36\/(-30))\/(2\/(-450)*-27)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15883885 and 125?\nAnswer: 397097125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -353 (b) -6 (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161455, -157492, -153527, -149560, -145591, -141620, -137647?\nAnswer: -133672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41623 divided by -3.\nAnswer: -41623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12937 - 12946.9844. Let p = 10 + x. What is p rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15978 divided by 6\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 16*h + 67. Let t be 2*1*-4*(-3)\/(-3). Let i be s(t). Solve i*k = m, 0 = -m - 2*m + k - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -16026386271.\nAnswer: 16026386269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.171 + 0.071. What is the nearest to 1\/3 in 2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = j - 15*j - s - 1, -4*j - 8 = 8*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:12 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133786 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + -5 - (sqrt(7) + 4*(-1*sqrt(7) - sqrt(7)))**2.\nAnswer: -348 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:41 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9*c = -112. Solve 4*t = 3*p + 13, 4*t = 4*p - t + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -4)\/((-2)\/10). Let c(t) = -t. Let u(x) = x. Let r(d) = 2*c(d) + u(d). Give r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 386?\nAnswer: 19686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let y = 0.09 + -0.19. Let v = y - -1.1. What is the second smallest value in v, 3, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 7909.\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 * 192.\nAnswer: 27840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9530 = -5*n - 3*l, 0 = 5*n + 4*l + l - 9530. Suppose 5*a = -2*r + 750, -4*a - n = -5*r - a. What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 - 15*r**3 + 0*r**2.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -61*k**4\/2 + k**3\/3 + k**2 + k - 2. What is the remainder when q(-1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:48 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 3*k**2 - 3*k**2 + (k + 2*k**3 - k)*(-4*k**2 + 3*k**2 - k**2) + (0 + 0 + 2*k)*(-5*k**4 + 3*k**4 - k**4) + k**5 + 0*k + 0*k + k**5 + 0*k**5 + k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 21. Solve 8*z - 4*g + 8 = 4*z, -m*g - 8 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2))*5 - (-2 + sqrt(2)*-3 + sqrt(2))) + -3)**2 + sqrt(640)\/sqrt(5) + (1*sqrt(128))**2*-5.\nAnswer: -526 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*f - 4, 4*z - 11 = 2*f - f. Let s be 2\/(-3) - (-170)\/z. Is 7 a factor of (1\/(-1))\/((-4)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 5*n**2 - 2*n. Let l(w) be the second derivative of w**4\/12 + 3*w. What is -6*l(m) + r(m)?\nAnswer: 2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 39. Which is greater: -8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 49 = -253. Suppose -h + l = -p, 4*l = -h + 4*h - 309. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4532991 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = 4*x. Suppose -4 = g - 0*g, -4*u - x*g = 0. Let k be (-2 + u)\/(5\/(20\/66)). Which is the fourth biggest value? (a) k (b) 1\/3 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5357*p - 75003. Determine l(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 17. Let d = 7.94 + v. Let u = -15566 + 15564. Which is the second smallest value? (a) -2\/21 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(50\/(-50)). Sort 1, -0.44, -0.3, t in ascending order.\nAnswer: -0.44, t, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31038.\nAnswer: 2, 3, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -688 - 25*u - 3*u**3 + 0*u**3 + 3*u**3 + 690 - 6*u**2 + 4*u**3 in the form k + q*u + b*u**3 + x*u**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 - 2*l**2 + 8*l**2)*(3 + 0 + 0 + 44*l) + (0 - 2 + 0)*(2*l**3 + 0*l**3 - 4*l**3) - l - l**3 + l as c + q*l**3 + y*l**2 + b*l and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 356244.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 198611258.\nAnswer: 198611252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:01 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 2*c + 1, -3*c = g + 16. Let k = g + 13. Suppose -k*r = -7*i + 4*i - 12, -i = 2. Solve b + 0*b - r = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.1. What is the nearest to 2 in -0.4, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - x = q - 6, -2*q = x - 3. Let t = 47 - 23. Let r = t - q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 160?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 80 = z. Suppose -c - 4*x + 8 = c, -4*c = 2*x - z. Suppose 0*o + c*o = 28. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 287600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20454 (base 7) to base 11.\nAnswer: 386a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/31, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*f - 1211*f + 304*f + 25*f + 21*f.\nAnswer: -589*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + 8*m**2 - 23*m - 464. Let g(u) = -13*u**3 - 18*u**2 + 50*u + 927. What is -4*g(a) - 9*i(a)?\nAnswer: -2*a**3 + 7*a + 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19161 times 4071?\nAnswer: -78004431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42761*b**3*k*q**2 + b**3*k*q + b*k - b*q**2 - 820*k*q**2 - 7*k*q + 8*q**2 + 2 wrt b?\nAnswer: -256566*b*k*q**2 + 6*b*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + z = 47, 5*z + 53 = -i. Which is smaller: -49 or i?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + -4*2*sqrt(68) + sqrt(68) + -5*(sqrt(68) + -3*sqrt(68))))\/(sqrt(48)\/(sqrt(108)*-1)*-5).\nAnswer: 72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*y, 3*q - 5 - 12 = -y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/98855 and -24\/375649.\nAnswer: 1878245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4470 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -17 - 0 - (34 - (-30 - -73))) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-11 - -2) - (0 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let j = 34 - m. Suppose 0*p - j = -4*p. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-950*l + 577*l - 1228*l)*(-4*l**3 + 3*l**3 - l**3).\nAnswer: 3202*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -0.82, -0.3, 5?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.16 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + c**2 + 3*c. Let i be 1\/(-4) - 52\/(-16). Let a be b(i). What is the highest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 + 539*j**3\/5 + 28557*j**2\/5 + 105773*j + 3306038\/5.\nAnswer: (j + 19)**3*(j + 482)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 13 + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-5)\/5 - -1). Suppose r = 5*i - 12*i + 14. Suppose -4*c + 4 = -c + h, -5*h + 20 = -c. Solve y + 5 = i*y - 2*a, y + 5*a + 23 = c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1547*w**2*x**2 + 94*w**2 - 9423*w*x**3 - 591190*x wrt x.\nAnswer: 3094*w**2 - 56538*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.39 - -54.53. Let g = 34 - u. Let b = g + 0.139916. What is b rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1079 or 960?\nAnswer: 1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0 + 0)*(5 + 8 + 9).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/126 and 121\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 140?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 + 1. Which is bigger: h or 2\/79?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.56 + -4.4144.\nAnswer: -7.9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 - 2*s + 1. Let f = -90 + 93. Let l(w) = 6*w - 17. Let p be l(f). Calculate h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/(522\/(-36) - -11)*75?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10\/9)*m*m)**50*m**(-3)\/((m\/m**(15\/7))\/m) assuming m is positive.\nAnswer: m**(2746\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*y = 4, -780*m + 2*y - 2 = -782*m. Which is the closest to 1? (a) m (b) 3 (c) -2\/11 (d) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q - 3*q**2 + 21*q - 44*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 24*w**3 - 11*w**2 - 6*w - 8. What is y(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 3, y: 1}. Give prob of sequence ayx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z**3 - 72*z**2 - 7*z - 34. Determine l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1815)\/198 - (1 - 1) and 59\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from {f: 5, j: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4029 + -4030. Is 3\/1216 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53360172 divided by 2\nAnswer: 26680086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(2299)))**2 + (-1 + sqrt(2299) + sqrt(2299) - sqrt(2299)) + 4 + -3 + -5.\nAnswer: 803*sqrt(19) + 82795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3128, 3146, 3176, 3230, 3320, 3458?\nAnswer: 3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 574 + -569. What is the nearest to 0.1 in -3, x, -13\/2, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 4566211?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112051777 rounded to six dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.128 - -0.199. Let s = k - 0.387. Which is the second smallest value? (a) -5 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.90402183 rounded to three decimal places?\nAnswer: -41.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -52. Let x(t) = -t**2 + 4*t + 7. Let h be x(i). Suppose -h*n + 73 = g, -5*n + 190 = g + 4*g. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2305600, -2305602, -2305604, -2305606?\nAnswer: -2305608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45465.627 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 19*b + 30. Let f be h(-11). Which is smaller: f or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -184?\nAnswer: -2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1575*k**2 - 27*k - 42. What are the prime factors of f(-2)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avv when three letters picked without replacement from {a: 3, m: 13, k: 1, v: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 932*m**2 + 43648*m - 14744576.\nAnswer: -4*(m - 176)**2*(m + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -6, -2*u = -3*u + 4*j + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 34*l - 86*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 8*u - 10. Let b be o(2). Solve 5 = -p + 2*r, -5*r + 10*r - b = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7697 - -1.85493. Let k = b - 116.71523. Let s = k + 116. Round s to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 84 - (-1 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 49.113. Let h = -0.187 + u. Let c be 4*(0 - -1)\/2. What is the second biggest value in h, c, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15109, 30221, 45333, 60445, 75557?\n\"Answer: 15112*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/245 (b) -2\/15 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuuxfuxxxxf. Give prob of sequence uux.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 22*x - 26*x + 4*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1421894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 43, 66, 91, 118?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*i**4 - 106 wrt i.\nAnswer: 692*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-15))\/((-16)\/(-240)*-1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42 - 45*c**4 - 44*c**4 + 24 - 44*c**3 + 90*c**4 with respect to c.\nAnswer: 4*c**3 - 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71 + 87 + 67)*(0*p**4 + p**3 - 3*p**4 + 2*p**4) to v*p + a + l*p**4 + k*p**3 + d*p**2 and give l.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2 - a - 1. Let y be t(1). Let f(r) = 2*r - 2. Let u be f(2). Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-278)\/(-7) + (-2)\/(-7). Suppose g = 4*v - 0*v. Is v\/(-45) + 2938\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u. Let x(k) = -7*k**2 + 2*k. What is 6*l(z) - 3*x(z)?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67894 and 127608.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -398?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148 + -13?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4449\/4571?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7297\/12 - -2365\/4. What is the common denominator of (-156)\/28 - -2 - -1 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -43, -57, -55, -25?\n\"Answer: 2*n**3 - 10*n**2 - 2*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*-1*sqrt(175))**2 + sqrt(175)*-2*-4.\nAnswer: 40*sqrt(7) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162220177 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40813055 + 27070009. Let b = -26543046 - o. Round b to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1509 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -272 in decreasing order.\nAnswer: 8, 1, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*k**2 - 6*k**4 + 8*k**4 + k**4 + 5*k**4 wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24126704 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 24*s = 4*s. Suppose -5*d - b + 43 = -172, -d = b - 43. Sort d, s, -5 in descending order.\nAnswer: d, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 24 + (-136)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = -9*g. What is the highest common divisor of 7 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 15 = -26*n + 6*q, 2*n - 3*q = -18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppiiiriirzprpmir. What is prob of sequence ip?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - d + 7 = -3*d, -3*h + 5*d = 21. What is the lowest common multiple of h\/(-1)*(960\/(-28))\/(-8) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/18128143 or 1?\nAnswer: -20\/18128143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 7*n + 3*n + (0*n - 3*n + n)*(4 + 1 + 3).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-21))\/n**(-2\/89))**(4\/3) assuming n is positive.\nAnswer: n**(-7112\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l*l)**(1\/10)*l*l*l**5*l\/(l**(-1\/4)\/l))**5 assuming l is positive.\nAnswer: l**(185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -17*u**2 - u - 13. Let z(j) = -j**3 + 11*j**2 - 15*j + 41. Let x be z(10). Let p(s) = -4*s**2 - 3. Calculate x*p(f) + 2*y(f).\nAnswer: 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 911973289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 15*y**2 + 15*y + 12. Let n be i(-14). Let t be (-630556)\/336288*-3 + n\/(-3). Let c = t - 1\/7006. Find the common denominator of 47\/9 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(7)*-5)**2 - (1 + sqrt(448))**2) - (sqrt(140)\/(sqrt(160) - sqrt(10)))\/(-1*sqrt(2)*-3).\nAnswer: -145*sqrt(7)\/9 + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6*m - 2*c - 64 = 0, -m - 4*c = 16. Put -2, 2, 8, m in decreasing order.\nAnswer: 8, 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18118051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08349084067 to six decimal places.\nAnswer: -0.083491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.65 + -0.96. Let v = q - -0.41. Which is the closest to -2\/3? (a) v (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3675*q**4 - 10990*q**3 + 8375*q**2 - 2280*q + 180 = 0.\nAnswer: 2\/15, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -138 (base 13) to base 11\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*p = -11, -3*z = -z - 3*p - 19. Let g = 98286 - 98289.3. Put 0.4, z, g in ascending order.\nAnswer: g, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - o - 10 = 10*h, 74*h + 166 = -47*h - 5*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in -5, 0, 3, 5\/6, 52?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 60 = -2*t. Suppose -5*s - 20 = -4*a - 83, 5*a = -s + t. Let f = -523 + 549. What is the remainder when f is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -686.44 in 3\/7, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 1, x: 6, h: 1}. Give prob of sequence hxx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4586 and 20?\nAnswer: 45860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o + 741 = -62*o. Is o a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 19 - 19)*(-11967 + 11967 + 99*h)*(2 - 3 + 0).\nAnswer: 396*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263?\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -9\/2*q**2 + 3 - 5*q - 7\/3*q**3 - 1\/4*q**4. What is the units digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 167*c - 184*c. Solve 15*b - 14 = c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 15*q**2 - 59*q + 29. Determine u(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-2) + (-2)\/(-4). Let w = -1255 + 1300. Suppose -3*r - q + w = 5*n, 31 = 3*n - 2*r. Solve 0*m + 3*m = -n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 149 (b) -5.5 (c) 29 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58704113?\nAnswer: 13, 131, 34471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q + 10, -5*d = -5*q - 55. Solve 13*u - d = 39 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = 6. Let s = h - 3. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.05, 0, 193, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (660\/44)\/(48\/28)\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o**2 + 7*o. Let f be a(-2). Suppose s = 3*h + 3*s + f, -3*h + 2*s = 46. What is the units digit of (-4)\/h - ((-12)\/(-54) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y - 227 = 202 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 3830825?\nAnswer: 7661650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2604163\/4 - -651042. Let l*y**3 + 5\/4*y**2 - 5\/4*y + 1\/4*y**4 - 3\/2 = 0. What is y?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683700*v + 683684*v = -320 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 5, s: 3, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*(w**28\/w)\/w*(w**(2\/27))**(1\/34) assuming w is positive.\nAnswer: w**(9181\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/19187415 and 92\/4654935.\nAnswer: 786684015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 5*s**3 + 15*s**3 - s to a*s + p + y*s**2 + z*s**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980496 - 30*i**2 + 182*i**2 + 980496.\nAnswer: 152*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68.7 + 48. What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-8 - (-2 - (-2 + -12))) - (25 + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 12*k - 1. Let s(g) = -8*g**2 + 36*g - 3. Let z(y) = -3*a(y) + s(y). Let l(i) = -2926*i. Calculate l(z(w)).\nAnswer: -2926*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + -55 + 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 + 183*o + 235. Determine c(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.03521289?\nAnswer: -0.014085156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17938.\nAnswer: 2, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/7)\/b)\/b)\/b**(-3)*(b*b**(-2))\/b**4)\/((b**0)**(1\/27)*b*b**(1\/4)*b*b*b**(-5\/4)) assuming b is positive.\nAnswer: b**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.3 times -0.21?\nAnswer: 10.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43651 - 43703 + 131057 + 104*v - 43703.\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.7. Let l(q) = -7*q - 14. Let s be l(-11). Let t = 62 - s. Which is the closest to i? (a) t (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**2*n - 1211*m**2 - 194*m*n - 1949346*n + 56 wrt m.\nAnswer: 6*m*n - 2422*m - 194*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350225689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose 5*v = g + 334, -3*g + 200 = 3*v - d*g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2372146 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 2*f - 4. Let a be c(4). Suppose 0*z - 192 = -a*z. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 17*j**5\/5 + 93*j**2 - j. Let o(f) = -16*f. Calculate z(o(c)).\nAnswer: 52224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3735676\nAnswer: 3\/3735676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7721 (base 11) to base 16.\nAnswer: -27cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Suppose 5*m = -0*m - 5. Let k be m\/(136\/(-44) + 3). What is the highest common divisor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 (base 6) in base 16?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*x + 81*x - 1985. Suppose 43 = -6*v + x. What is the remainder when 176 is divided by v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130 or 1701\/13?\nAnswer: 1701\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 39600?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-65)*-15*(-4)\/(-144)*(-464)\/4.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -673 (base 13) to base 5.\nAnswer: -13413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w - 15 = 0. Let q = 8 + w. Suppose -3*l - 4*j + 4 = 0, -4*l + q*j = -j + 4. Put 1, -5, l in increasing order.\nAnswer: -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkccccc. Give prob of picking 2 c.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -971 + 1949 + 52*a - 973. What is b(1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 21*t**3 + 3*t**2 + 13*t + 4. Let b be i(-2). Let c be 6\/(-10)*(-4535)\/(-15). Let z = c - b. Find the common denominator of z and 3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a. Let t = -13 + 19. Let l = t + -4. Suppose -1 = 3*w + l. Give o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:49 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 12*x)*(0*x**2 + 3*x**2 - x**2).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237234903 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:51 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-30) + 4\/10 + 15840\/(-2376).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47425 - 15811 - 15815 - 15799 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(2 - (-30)\/(-14)). Let h = -13 - l. What is the greatest common factor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842260389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2057) - sqrt(2057)) + 4 + sqrt(2057))**2 - sqrt(2057) - sqrt(2057)) + sqrt(2057) + 4*(sqrt(2057) + sqrt(2057) + 1).\nAnswer: 187*sqrt(17) + 2086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -47. Let z be q\/5 - 4361\/35. Are -125 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + -17 + 12 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531914401.\nAnswer: 467, 1139003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q + 42*q - 36*q - 113*q**2. Let z(x) = x. Calculate w(z(k)).\nAnswer: -113*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.925 - -0.075. What is the second smallest value in b, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -73, 3.2, -1\/23, 0.2, 15\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4 + 2 - 2*w - 3*w - 3*w**2 - 12*w. Let r be f(-6). Find x such that 1\/2*x**2 + r - 3*x + 1\/2*x**3 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*a - a. Suppose -w = 4*w - a. Is 410\/w - 3\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-1)*5*3\/24*(-4482)\/(-415).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184392 - 89485. List the prime factors of r.\nAnswer: 94907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.361225*-2.\nAnswer: -2.72245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 23. Sort -2, s, -1\/7.\nAnswer: -2, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161111 + -1777176\/11. Let l = v - -451. Is 1\/5 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2010025530 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 26\nAnswer: -31\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + k**2)*(-24 - 2 + 18 + 8 - 874*k).\nAnswer: 1748*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 10013322200?\nAnswer: -10013322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Let q = 27\/2 - 111\/8. What is the smallest value in d, q, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:18 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Suppose x*n - n - 4 = 0. Let k be (-1040)\/(-24) - n\/(-6). Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 34\/2579 (c) -3.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1913, 3058, 4203, 5348?\nAnswer: 6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7513 + -7512. Is q < -1667\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -8. Solve 5*x + v = 2*x + 5*r, 0 = -r + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 divided by -466?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + 2*v**2 + 8*v - 23. Let h be w(-13). Let x = h - 34. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.2, -3, -3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 32*y. Let q(s) = 2*s**2 - 96*s. Let f(c) = -2*q(c) - 6*v(c). Let z(g) = -2738*g**2. Calculate f(z(i)).\nAnswer: 14993288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 721*z**2 + 518*z - 9000. Give r(-145).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/3 - (-2)\/(-6). Let o be (-6)\/11 + 12645\/495. Suppose 15 = -o*q + w*q. Solve -6*u + u + q = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42908 or 42905?\nAnswer: 42908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/g**4)**(-3\/28) assuming g is positive.\nAnswer: g**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267762*f*x**3 + f*x**2 - 100*f*x - 4*x wrt x.\nAnswer: -1606572*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h. Let d(o) = 5*o - 2. What is d(a(i))?\nAnswer: -55*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 8124 = 5*c - 16244 + 8117, 5*c + x + 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 30*x + 6 = y - 3*y, x + 9 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -33 + 40*l**2 - 10\/3*l**4 + 0*l**3 + 1\/6*l**6 + 0*l**5 + 2*l. Factor u(a).\nAnswer: 5*(a - 2)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1\/6, -581.\nAnswer: -581, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31122 + -2?\nAnswer: 31120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -34*i - 25. Let r(x) = 34*x + 26. Let d(k) = -6*r(k) - 5*t(k). List the prime factors of d(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 139*v**4\/12 - 2*v**3\/3 + 5*v**2\/2 - 7*v. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose 4*w - b*w = 0. Suppose f - 5*f = x - 25, x + 29 = 5*f. Solve w = 4*p + p - l - 15, -2*l = 2*p + f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 2. Let i be m(2). Let z be -27*-1*(3 + -2). Calculate the highest common factor of z and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -415852\/4057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2*-1)\/(-1). Let h = -28 - -23. Which is the smallest value? (a) n (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1 (b) -3\/2 (c) 1\/4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 2}. Give prob of sequence gy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7344*o + 1 + 7582*o - 15333*o)*(0 - 1 + 0).\nAnswer: 407*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b (base 12) to base 16.\nAnswer: -e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 765458227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and -3.5850088.\nAnswer: 46.4149912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 - 548.07.\nAnswer: -775.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/48010 and 95\/22312?\nAnswer: 535599560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36*147\/196. Which is the nearest to -13? (a) q (b) -2 (c) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146*o**4 + 84*o**3 + 2*o - 11196591 wrt o?\nAnswer: 584*o**3 + 252*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/6)\/((42\/(-28))\/(9\/(-2)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12013001113 (base 4) to base 5\nAnswer: -402222443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-194)\/(-4) - (-1)\/(-2). Let m be 2 - (1 + 1*(-375)\/12) - 3\/12. Calculate the highest common factor of j and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/27984 and 65\/115315068.\nAnswer: 461260272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7918?\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 + -45335054?\nAnswer: -45335405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114421004 (base 5) to base 3.\nAnswer: 1000200202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 234*a + 20. Let p(q) = -47498*q - 4064. Calculate -1016*k(v) - 5*p(v).\nAnswer: -254*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 29 + 17796*l + 2 - 4 to the form g*l + u and give g.\nAnswer: 17796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i + 34*i + 14928 = 72*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 71*y + 250. Let c be k(-10). Factor -2 - 289\/2*u**5 - 505\/2*u**2 - c*u - 935\/2*u**4 - 1075\/2*u**3.\nAnswer: -(u + 1)**3*(17*u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 73*w + 7. Let g(x) = x**3 + 36*x - 3. Give 5*g(m) + 2*s(m).\nAnswer: m**3 + 34*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8036 + -8040. Let g = -1.4 + -0.6. What is the second smallest value in g, n, 123?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531\/5 + -3368\/15. Let s = j - -118. What is the nearest to s in 0, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 6*b + 2*r + 1172 = 0, 4*r - 1758 = -3*b. Suppose w + 2*u - 126 = 0, 6*w = w + u + b. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-28)\/(-6) + (-200)\/50. Let l(f) = 7*f**2 + 5*f + 5. Let d = -15 - -11. Let q(k) = 3*k**2 + 2*k + 2. Calculate d*l(x) + t*q(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let b be t(2). Suppose 17008 = b*g - 3*g - 4*a, -2*a = -5*g - 84996. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30562032 by 186.\nAnswer: 164312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 306\/15 - (-2)\/(-5). Calculate the lowest common multiple of (-2)\/4 - (-170)\/j and 17 + (-3 - -8) + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 - 2*z**2 + 3*z - 4. Let p(f) = -405*f**3 + 0*f**2 - 9 - 4*f**2 + 415*f**3 + 7*f. Calculate -9*c(w) + 4*p(w).\nAnswer: -5*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n**2 + 17*n - 13. Let o(k) = 2*k + 12. Let x be o(-4). Let t(a) = -49 + x*a + 0*a**2 + 46 - 3*a**2. Let h(p) = 2*l(p) - 9*t(p). Determine h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a**2 + 3*a. Let g(v) = -7*v**2 + 4*v. Let u(z) = -3*g(z) + 4*w(z). Let h(y) = -11*y. Give h(u(o)).\nAnswer: 209*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/120 + t**4\/3 + t**3\/3 + 16*t + 13. Let w(c) be the third derivative of l(c). Give w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -21\/67 (b) 0.31 (c) 4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3257, 4\/3, -3\/11 in decreasing order.\nAnswer: 3257, 4\/3, -3\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045274 is divided by 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207897992 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4168 + 5?\nAnswer: -4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 128661524.\nAnswer: 128661528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 78*j - 115 + 64 + 58. Let z = 16 - 11. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.5, -0.01, -0.1, -2, -6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b - 5*z + 3838805, -3*z + 1919403 = 2*b. Round b to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 11 + 4*k + 1\/3*k**3 - 3*k**2. Calculate p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u + 175 - 175 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l**5\/7 + 205664*l**4\/7 + 513796*l**3\/7 + 115544*l**2\/7 - 23852*l + 25688\/7 = 0. What is l?\nAnswer: -3211, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 20 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8*n**2 - 7*n**2 + 0*n**2.\nAnswer: n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times 1500?\nAnswer: 141000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 3, l: 2, q: 13}. What is prob of sequence qqe?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9814902 is divided by 3271634.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/4 + 2*y**3 - y**2 - 6*y + 8. What is i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 + d - 3. Let m be i(3). Suppose m = -3*p - 2 + 11. Suppose 0 = 3*j + 5*g + 58 - 243, -3*g + 177 = p*j. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y + 4. Let p be u(-6). Suppose -3*c - 4*g + p = 0, 3*g = 4*c + 8*g - 245. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 22*c**2 + 48*c. Let o be p(24). Suppose -13*i + 7*i = o. Solve -4*k + 3 = 3*l - 5, -3*l + 12 = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose 2*c + 2 = -z. List the prime factors of ((-4)\/8)\/(c\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35643 and 1188100?\nAnswer: 3564300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -67*k**5\/30 + 5*k**4\/24 - 7*k**3\/3 + 15*k**2 + 7. What is the second derivative of j(z) wrt z?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -20*a**2 - 2*a + 1. Determine h(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/4 + u**3\/3 - 3*u - 5. Let q(r) = -r + 5. Let i be q(5). Give d(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*w + 485*w + 3915 = 0 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2 + 3*k - 8. What are the prime factors of z(16)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.65? (a) 0.1 (b) 735.29 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 1 + 2)*(k**4 + k**4 - 4*k**4) + (0*k**2 - 3*k**2 + 4*k**2)*(k**3 + k**3 - 3*k**3).\nAnswer: -3*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqlcinv. What is prob of sequence nc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 12. Let a be n(12). Suppose -3*l - 1 + 10 = a. Solve c + 5*b = 0, -l*b - 3 = -6*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*((-565)\/5 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 91 = -41. Calculate the common denominator of 97\/22 and ((-31)\/t - -1)*228\/(-64).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**6\/75 - 7*s**5\/150 + s**4\/30 - 2*s**2 - 7. Let l(o) be the second derivative of n(o). Factor l(w).\nAnswer: -2*w*(w + 2)*(4*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 - 101*h**3 - 347*h**2 + 175*h**2 + 173*h**2 as t*h + g*h**3 + m + l*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + 9 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 - 3)*(q**2 + q**2 - 1056*q + 166*q + 92*q - 988*q) to x*q + m*q**2 + i and give x.\nAnswer: 19646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 - 13*o - 11. Let v be f(-5). Let n = 5 - 3. Sort n, v, -5 in ascending order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15495, 30992, 46489, 61986, 77483, 92980?\nAnswer: 108477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**3 - 8*b**4 - 11*b**3)*(335*b - 57*b - 34*b + 154*b).\nAnswer: -3184*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*p - 2069, 4*c - 15*p = -14*p + 8237. Suppose 0 = 5*h + 2*n + 2575, 4*h - 59*n + 58*n + c = 0. What is h rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.97 - -20.67. Let m = b + -17. What is the nearest to -2 in m, -3\/2, 1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 15*y + 48. Let k be t(-12). Suppose 4*u = -k, 0*u = l - u - 3. Suppose l*p = 12*p - 48. Sort -12, 0, p in increasing order.\nAnswer: -12, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000960518528 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-9)\/u*u)\/u)\/u*u**(-1\/17)*u assuming u is positive.\nAnswer: u**(-154\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-182)\/(-70) + 14)*(-1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16211398 is divided by 2218?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 16. What is the units digit of n\/(-12) - 35\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:12 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 14*u + 41*u to the form s + c*u and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 83904128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99372\/(-48)*-4 + (-7)\/1?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -54505664 divided by 1703302\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 5, -1, 4, 0 in descending order.\nAnswer: 5, 4, 0, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944242, -1888484, -2832726, -3776968?\nAnswer: -4721210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from ccccccccccck?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 47*v. Suppose -4*f + 0*f + 8 = 0. Let x be g(f). Suppose -x = -3*k - 19. Calculate the greatest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o - 4. Let a be z(-5). Let u be (4\/(-10))\/(3\/(-15)). Find the third derivative of a - w**4 + 3*w**2 - u + 1 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-5 + 200\/30). Put 1, u, -1, 2, 3 in decreasing order.\nAnswer: u, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00659351 to five decimal places.\nAnswer: 0.00659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13876 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**4 + 0*z**6 + 0*z**3 + 3*z + 0 - z**2 - 1\/630*z**7 + 1\/180*z**5. Let p(h) be the first derivative of o(h). Factor p(w).\nAnswer: -w**2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -842. List the prime factors of q.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -2.6. Let z = n + 2.22. What is z rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 - 1\/(27\/(-48)). Let v = -1 + 6. Let r be 14\/(-30) - 1\/v. What is the closest to r in -1\/4, -0.1, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175164?\nAnswer: 2, 3, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023 (base 9) to base 3.\nAnswer: -10000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13752846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 g when four letters picked without replacement from {g: 2, n: 5, q: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 27 = 0, -122*o - 3 = 3*s - 121*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.79406um to meters.\nAnswer: 0.00002179406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1595, -1535, -1475, -1415, -1355?\n\"Answer: 60*c - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115597 = -5*i + l + 115656, 0 = -5*i - 20*l - 970 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52249 + 1432354862.\nAnswer: 1432302613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371 + 369. What is the smallest value in 12, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/20 - -3\/5. Let c be 1 + ((-3)\/(-3) - 2). Let j = 59\/395 + 4\/79. Sort s, c, j, -8.\nAnswer: -8, c, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 56*(6\/(-75) - (-377)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44\/9*q - 14\/9 - 16\/3*q**2 - 20\/9*q**3 - 2\/9*q**4 = 0. What is q?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -61*t + 91*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2837511*m - 2837474*m - 629 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1226781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9218 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 4 + -14 + -1 + (32 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.322? (a) 2 (b) -0.6 (c) -27 (d) 0.5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*h**2 + 18 - 18 - 135*h**2 + (-5*h + 3*h + h)*(-3*h + 2*h - 2*h).\nAnswer: -345*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 1688?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1524887*u + 479490.\nAnswer: 1524887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*1 - ((sqrt(931) + 2)**2 - sqrt(19)).\nAnswer: -935 - 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + 0*a**2 - 2*a**2)*(a + 2 - 23*a + 2*a) + 25*a**3 + 42*a**3 + 16*a**3 as x*a + g*a**3 + l*a**2 + f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/20 - (-4)\/30. Let d be (2 + 10\/(-4))*-2. Let n be (0 - d)\/(0 + -1). Which is the closest to -0.1? (a) n (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101621\/10 + 10154. Find the common denominator of a and 31\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(360))\/(sqrt(288)*-2))**2 + -4.\nAnswer: -19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 23*u + 3 = 0. Suppose -d - 2*x + 8 - 4 = 0, u = 2*d - 3*x. Solve 4*s**d - s**2 - 3*s - 3*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 8, -v - 5*f = -334. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owdhhohhwyshdowhwh. Give prob of picking 1 h, 1 s, and 1 o.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 63*n - 54*n. Let o be 104\/63 - (n + (-80)\/45). What is y in 8\/7 + 2\/7*y**2 + o*y = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -x + 19944*r - 19949*r, 0 = -x + 5*r - 10 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500.81 - 16.71. Round n to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1053) - (sqrt(1053)*-3 + -4))*-1 - (sqrt(13) + (-1*sqrt(156))\/sqrt(12) - (sqrt(117)\/sqrt(9) + 4)**2)).\nAnswer: -84*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = -3*z, -5*s + 2*z + 4*z = 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*c + 91*c - 28 = 188*c + 368 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -244706 + -24?\nAnswer: -244731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - y - 9, y = 2*g + 7. Let q = -2 + 2. Let m = q - g. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9282631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*u + 1 + 65*u to n*u + r and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 13 + 11. Suppose 5*t - 3 = k. Let d(c) = c**3 - 3*c**2 + c + 3. What is d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosouoolo. What is prob of picking 1 s and 1 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 235*s**2 + 3*s - 221*s**2.\nAnswer: 14*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose 3*o - 3*q - 21 = -o, x = 3*o - 3*q - 12. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/1906 + -125209\/12389. Which is smaller: -10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -445\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 168 = -24*h. Suppose 4*c - h = -8. What is the lowest common multiple of c and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/49 + -899\/98. What is the third smallest value in 1\/9, i, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -940121 equal to -939766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 minutes after 8:39 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -2989 less than or equal to -2991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2368 times 2\nAnswer: -0.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 5607300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202 + -200. Solve z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 10*b + 38 + 6 + 31 - 6.\nAnswer: 10*b + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -66*u + 67*u. Suppose 835 = 5*x + u*a - 1991, -a = 4*x - 2259. List the prime factors of x.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:22 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/60*(-568960)\/12446.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-46)*n*n*n*n)\/n)**(2\/7) assuming n is positive.\nAnswer: n**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4\/5 - 128*w**3\/5 + 383*w**2 - 6564*w\/5 + 396 = 0.\nAnswer: -55, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-198) - (-18)\/(-22). Let v(p) = -52*p**2 - 2. Let q be v(d). Does 33 divide (-22)\/(-3*(-6)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)\/(r**4*r))\/(r**(5\/4)\/r**(2\/9)) assuming r is positive.\nAnswer: r**(-233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Suppose 0 = -3*p - f - 196, 9*f - 7*f + 326 = -5*p. Let y be 2\/(2 + -14) + (-671)\/p. What is the third smallest value in y, 5, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*u**(-1\/6)*u))\/u))**(1\/4))**(4\/17) assuming u is positive.\nAnswer: u**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in -4\/7, -8, -2\/7, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36425 and 1015175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/((-10)\/(-4) - 4). Differentiate 5*q - 2*q + d*q**2 - 12*q**2 + 47 + 5*q**2 wrt q.\nAnswer: 10*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56254 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302 + -283. Find the second derivative of 0 - 2*b**3 + 91*b**5 + 0*b**3 + 12*b**5 + o*b - 3*b + 1 wrt b.\nAnswer: 2060*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -612622*u*z**3 - u*z - 5328*u + 2*z**3 + 38*z wrt z.\nAnswer: -3675732*u*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454054301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8382513?\nAnswer: 3, 17, 164363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 6*t + 6. Calculate f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - 3 - (67 - 53).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10479034 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/5 + o\/5 + 2\/5 = 0. What is o?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 4. Let r(x) = 6*x + 4. Give 2*a(j) + 3*r(j).\nAnswer: 8*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9917, -9578, -9239, -8900?\nAnswer: -8561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q + 13*q - 9*q + 1134 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-3 + (sqrt(3267) - 1*sqrt(3267)))\/((sqrt(729) - sqrt(729)*-2*-2 - sqrt(729) - sqrt(729) - sqrt(729)) + sqrt(729)).\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 548071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -2)*(-15)\/20. Solve 0 - 2*j**2 - 4\/3*j**n + 4\/3*j + 2*j**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 297\/6*((-322)\/(-42) - 7). Solve 0 = 4*w + 5*n + i, 23*w - 20*w + n + 11 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1067607 + 0.0664628?\nAnswer: 0.1732235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-36)\/9)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 934*c + 2754 - 10226 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5610 + 17. What is the greatest common divisor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09791 to 3 decimal places.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 - 4*g - 12. Let w be r(-4). Suppose w = 13*o - 771. What is the remainder when o is divided by (-51)\/(-2)*(-2)\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 - 433. Let a = o - -244. Find h such that 3\/2*h + 1\/2*h**a - 3\/2*h**2 - 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3289*k**3 + k**2 - 19*k - 64. Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*s = 625896 - 622666 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 577 + -556. Suppose 3*c + 7 - 16 = 0. Suppose -c*k - v = -l, k = -0*k - v + 5. Calculate the smallest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 31*z**2 + 66*z - 27. Determine h(33).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) + (sqrt(85)*2 - sqrt(85) - sqrt(85) - sqrt(85)))*5*5)\/((sqrt(60) - sqrt(240)*1)\/(sqrt(48)\/sqrt(4)*4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 6*j - 24*j to the form h + c*j and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 - 13880*f**3 - 1180590918*f**2\/7 - 2021691568*f + 15332529056\/7 = 0. What is f?\nAnswer: -24284, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 50*k**2 + 187*k. Calculate the remainder when 903 is divided by t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -72*g**2 - g + 4. Let h be t(0). Put 2, h, -554, 0, 5 in ascending order.\nAnswer: -554, 0, 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38\/27 + -428\/189. Which is the third biggest value? (a) t (b) 0.55 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12306073 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:50 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2295677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.884023 millennia to centuries.\nAnswer: 8.84023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -50*f**3 + f**2 + 7*f + 6. Let i be a(-1). Suppose i = -9*g - g. Put -2, 12, g in descending order.\nAnswer: 12, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17499 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 446516?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z**2 + z**2 + 4*z**2)*(-z**2 + 2 - 2) + 8*z**3 - 8*z**3 - 8*z**4 + 58*z**4 + 89 - 89 to the form m*z**2 + u*z**3 + r*z**4 + d + h*z and give r.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7394.046 tonnes to micrograms.\nAnswer: 7394046000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by 227486.\nAnswer: 207\/113743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.451 - 1.551. What is the closest to 28 in -21, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6358432 rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 98 (b) 0.3 (c) -3041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r - 2*r + 15*r + (2 - 3 + 4)*(142 - 142 - 24*r) + r - 5*r + r.\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l - 19. Let c(v) = -29*v + 18. Let z(y) = 5*c(y) + 6*f(y). Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (9 + -12 + 4 + 0 + 6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**8\/84 - m**6\/30 + 67*m**2 - m. Find k such that c(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10560 + 3760 = -100*i for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 7:13 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(75) + 1)*1 + sqrt(75) + 4 + -4 + -4 + (-1*sqrt(75) + sqrt(75) - sqrt(75)))**2.\nAnswer: 20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 41 - 12 + 2*t + (-5*t + 3*t + 3*t)*(1 + 1 - 4)*(-6 - 11 + 3)*(1 + 1 - 3) as c + q*t and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 4129*n**2\/3 + 2975*n + 4802\/3 = 0. Calculate n.\nAnswer: -686, -7\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*a - 18, -3*a - 3*j + 19 = -2. What is the biggest value in a, -4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0\/(-3))\/(-1). Let h = 6 - 4. Suppose -h*v + 0 - 4 = 0. Is v bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*g - 6265*g**2 + 143*g + 6266*g**2)*(4 - g - 1 - 5).\nAnswer: -g**3 - 211*g**2 - 418*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 1504*t + 1127151\/5.\nAnswer: (t - 7367)*(t - 153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(833) + 1 + ((sqrt(833) + sqrt(833) + -3)*-6 - sqrt(833)) - (-5 + -2 + sqrt(833) + sqrt(833) + -1 + 4)))**2.\nAnswer: -4704*sqrt(17) + 163844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 8 + -12 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(-1 - -2))\/((-7)\/(-3)). What is the second biggest value in -3, c, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*s - 475 = 0, -2*s + 809 = 5*k - 6*s. Suppose -38 = -7*b + k. Let i = 31 - b. Solve -l - 15 = i*l + 3*n, 0 = -5*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751 is divided by 2515?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 478 - 705. Let p = n + 686\/3. Solve -4\/3*g**2 + 0 - 8\/3*g**3 + 0*g - 1\/3*g**5 - p*g**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 - 74 = 0. Let b(r) = 19*r - 36*r + d*r. Let i(u) = -15*u**2 - 2*u + 2. Let w(z) = -62*z**2 - 9*z + 9. Let q(t) = -9*i(t) + 2*w(t). Give q(b(g)).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4600 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127991 and 745?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 - 12*n + 39. Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29612488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Suppose 0 = -k - 0*n + t*n + 14, -26 = -4*k + 2*n. Solve -3*z + l + 9 = -3*l, -z = -k*l - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*m - 260*m - 217*m.\nAnswer: 175*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8432445 divided by 3\nAnswer: -2810815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94555343497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21060234 divided by 3?\nAnswer: -7020078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98293.694504 + -98293. Let d = -0.174566 + u. Let y = -0.52 + d. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -61*v - 4. Let i be 56\/20 + (-84)\/105. Let h(j) = 12*j + 1. Give i*s(n) + 11*h(n).\nAnswer: 10*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u**2 - 409*u - 30. Determine d(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-15))\/((-1)\/33). Let w(t) = -8*t - 51. What are the prime factors of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0983315 smaller than 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -340, -474, -588, -676, -732, -750, -724?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/6 - -1\/2. Is 3 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13297 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(4)*4) - (sqrt(2) + 3)*-6) + -5 + -5 + (sqrt(2) - sqrt(72)*1))**2.\nAnswer: 20*sqrt(2) + 537\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7393*f**2 - 3933081*f\/2 + 665 = 0. What is f?\nAnswer: 5\/14786, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(30\/(-15)))\/((-75)\/(-225))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.616 - -1.216. Which is the nearest to h? (a) 1 (b) -0.14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*z + 1064 = 52224 - 8055 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**5\/120 + a**4\/12 - a**3\/3 - 7*a**2\/2 + 34. Let p(i) be the second derivative of o(i). Determine m, given that p(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + f - 2*f**3 - 4*f**2 + f**3. Let c be a(2). Let m be (15\/c)\/(2\/(-4)). Sort m, 4, -4 in ascending order.\nAnswer: m, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003732948 to six dps.\nAnswer: 0.000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -412, -549, -688, -799, -852, -817?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = -o, -2*o - 5*p + 43 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 1525, 3424, 6109, 9592?\nAnswer: 13885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 54*j**2 - 2*j - 9. Let z(s) = -107*s**2 + 3*s + 17. Let v(o) = -5*l(o) - 3*z(o). Let u be v(3). Let h = -205 + u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 = 10. Which is greater: w or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/4)\/(1925\/(-6600)). Let d(g) = -g**2 + 6*g - 1. Let v be d(4). Put v, f, 4, 2 in ascending order.\nAnswer: 2, 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqqqxqlxwllwwccjl. Give prob of picking 2 c, 1 w, and 1 j.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.643 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -12*h + 18. Let n be (10\/30)\/(1\/h). Suppose 16 = -n*j - 2. Let s(q) = q + 7. Determine s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*d = 6, 0 = -5*x + 82236*d - 82239*d - 21 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -4, -3, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 91?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(4\/9)*g)\/g*g)\/g*g\/(g\/(g\/g**(5\/7)))*g)**(2\/41))**(-43) assuming g is positive.\nAnswer: g**(-9374\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*k + 1 = 0, k + 1 - 3 = 0. Suppose -25 = -5*n + 6*h - h, 2*n - 1 = -h. Suppose n = m*q - 103. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.6234032*0.5\nAnswer: -5.3117016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -281, -0.722, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306*i**5 + 42*i + 3 wrt i?\nAnswer: 6120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x - 4. Calculate r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2205 + -2184. Suppose -227 = -4*o - 31. What is the greatest common factor of i and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 3208\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 42*z - 40*z. Calculate the smallest common multiple of z and 36.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -427, -1386, -3225, -6232, -10695, -16902, -25141?\n\"Answer: -48*t**3 - 8*t**2 - 7*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.09?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 84128381755?\nAnswer: -84128381754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**2 - 13*u + 3. Let z(j) = 65*j**2 + 105*j - 25. Suppose 10*q + 1 - 31 = 0. Let w(b) = q*z(b) + 25*t(b). Determine p, given that w(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -163*x**2 + 1\/30*x**5 + 0 + 1\/3*x**3 + 0*x - 1\/24*x**4. What is t(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 32)\/(7\/70). Suppose 0 = -3*d + 5*l + 186, -8*l + 3*l = -5*d + w. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (12\/(-6) - -2) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 169 (b) 81.74 (c) -2 (d) 0.1 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - 23*t + 8*t**3 + t**3 to the form b*t**2 + v + k*t**3 + c*t and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -611, 3, -57 in decreasing order.\nAnswer: 5, 4, 3, -57, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v + 43*v + 40 = 278. Solve 5*u - 4 = k - 1, -6 = v*k + 3*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, 16, 239\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1) - (1104\/(-56) + 15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2675, 5409, 8273, 11333, 14655?\nAnswer: 18305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -52, -86, -120?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (1 - (-12 + 14)) + 6 + (-4 - 4).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -13. Let f be ((-48)\/(-2))\/(-1 + x). Solve 3*r - f = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 10*h**2 + 17 - 3.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 15*l**4\/8 - l**3\/6 - 12*l**2. Let v(h) = -1. Let m(u) = 2*u - 3. Let j(r) = -m(r) + 3*v(r). What is a(j(w))?\nAnswer: -90*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86299*f**2 + 5*f**3 - 4 - 30*f - 3*f**3 + 86300*f**2)*(-4 + 0 + 7 + (0 + 0 + 1)*(-2 + 2 + 2)).\nAnswer: 10*f**3 + 5*f**2 - 150*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 - x**5\/15 - 5*x**4\/24 + 2*x**3\/3 - x**2. Let i be f(5). Suppose -i*g = -2*g. Solve g = 3*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -l + 5*y, -2*l - 5*y = -5*l + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261454912*b**6 + 4*b**2 + 3*b - 2421889?\nAnswer: 31374589440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w + 74392 = 33*w + 869784. Calculate the greatest common factor of w and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 3461\/18?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(11\/3))**16 assuming v is positive.\nAnswer: v**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4716426 (base 9) in base 15?\nAnswer: -355a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i - 5*i + 7 - i**3 + 3*i**2 + 3*i**2. Let o be p(7). What is the nearest to -1 in o, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 - 3932*w**4 + 47368*w**3 - 205520*w**2 + 379648*w - 253184 = 0.\nAnswer: -1978, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -61. Let p = 0.6 - 2. Which is the nearest to 2\/5? (a) m (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/5 - 237*s**4\/5 - 13186*s**3\/5 + 101748*s**2\/5 - 29768*s = 0.\nAnswer: -122, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**2 + 12*o - 1\/12*o**4 + 0 + 0*o**3. Calculate f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**2 + 26*y - 4. Let k(i) = -4*i**2 + 9*i - 1. Let r(g) = 3*c(g) - 8*k(g). Let f be r(6). Suppose -3*z = -5*z - 6. Which is greater: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428740 and 25220.\nAnswer: 428740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -120.2. Suppose 0*b + 2 = 2*b. What is the biggest value in b, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/17 + 502*t\/17 - 504\/17 = 0.\nAnswer: -252, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439743759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43716 (base 14) in base 10?\nAnswer: -163288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -36. Let w(k) = -9243*k**2 - 23*k + 20. Let v be w(o). What is v rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*a**4\/2 - 22*a**3 + 101*a**2\/2 - 50*a + 18 = 0. What is a?\nAnswer: 1, 9\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8010.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvnmlnhu. Give prob of sequence ln.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123665348 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 0. Suppose -601 = -57*m - 658. Suppose h + 3 + 2 = 0. Put m, h, s in descending order.\nAnswer: s, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1005.5 + 1005.5. What is the fifth smallest value in -2.014, 0.3, 0.5, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 3, n: 1, c: 2}. Give prob of sequence ecc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-4*o**2 + 3*o**2 + 3*o**2) + 308*o**2 + 431*o**2 - 2*o**2 + 0*o**2 - o**2 + 3*o**2 + (-o + o - 2*o**2)*(1 + 3 - 5).\nAnswer: 743*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1428*n + 188*n + 51153 = -237*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -813, -1146, -1429?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*10\/54)\/(3\/(-9))*(-2354)\/4708\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4136 + 0.\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18 + 8*c - 6 + 12*c - c**2. Let g be (-1)\/(((50\/65)\/(-5))\/2). Is 7 a factor of f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5612292 divided by -1403073\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 15) to base 7.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/((-255)\/221 + (-2)\/(-13)). Let f(g) = 2*g - 1. Determine f(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0363 - -30.1363. Let h = v + -32. Let g = 1.6 + h. What is the third biggest value in g, 1\/3, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250935132*x**2 + 250935132*x**2 - 14*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32 + 2*j**2 + 355*j**6 - 65 + 30 wrt j.\nAnswer: 42600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*g + 6781 - 6781 as c*g + o and give c.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -21. Suppose 0 = -2*y + 4 - c. Let i be y*(2\/6 - 4). Solve i = 3*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/360 + u**4\/2 - 5*u**3\/6 - 4*u**2 - 65*u. Let v(w) be the second derivative of d(w). Give v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h**3 + 2*h**2 + 2*h - 3. Let u(s) = 20*s**2 - 63*s + 10. Let r be u(3). Determine z(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144744771 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(((-3872)\/(-330))\/22)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 103743*p**2 + 896936040*p + 896832300.\nAnswer: 3*(p + 1)*(p + 17290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101470388 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 + 43*x + 230. What is u(-3)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 758.99999044 + -759. What is p rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose i + 4 = g. Let d be (26\/3)\/(g\/(-45)). What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151 (base 7) in base 12?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:22 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 1. Let t(o) = -4*o**3 - o**2 + o - 2. Let y(d) = -3*i(d) + t(d). Suppose y(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 20, 40554, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -204?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1 (c) 3537 (d) 1.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2667 and 100884?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 66189\/641?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s\/s**(-3))\/(s*s**(4\/7)*s*s*s*(s\/s**(-1\/2))\/s)*(s*s*s**7)\/s*s\/s**(-2)*(s*s\/s**(3\/5))\/s**4 assuming s is positive.\nAnswer: s**(583\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-62 + 43)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-2030))\/(6\/10). Let a = -5 + 5. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12385 to 3 dps.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 8*r**2 + 28*r + 83. Let x(t) = t**3 - 15*t**2 - 3*t + 35. Let b be x(15). Let u be s(b). Solve -u*y + 3*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2.1. Let j = d - 2.4. What is the closest to 5 in -1\/3, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 3*z - 15 = 14*j, -z - 5 = -4*j. Is -70\/193 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 52, 130, 232, 352, 484, 622, 760?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0481 from -0.1.\nAnswer: -0.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2 - 26 - 707*z - 283*z. Suppose 0 = 5*i - 2*p + 27, 35*i - 15 = 32*i - 4*p. Is u(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2231 - 1888. What is the greatest common factor of c and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99676 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 4. Suppose 3*c = -9, 0 + 12 = r - 2*c. Calculate p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 25 = -d, m + 2*d + 2*d - 26 = 0. Let s be m\/21 + -2 + 1. Which is the nearest to s? (a) -2\/19 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 4\/(-14) - ((-12224)\/56)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0.2. Let s = -0.248 + 0.238. What is the nearest to -1 in s, 3, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -n - 15, 4*q + 4*n + n = -31 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000316 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 21*s**3 - 9*s**3 + 2*s.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 4*d + 21, -d = 3*s + 15. Let k be d\/(-4)*6\/9. Let h be 1 - k - (7 + -7). Is h greater than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/3 (b) -5 (c) -0.153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/9))**(-40) assuming w is positive.\nAnswer: w**(-440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-84)\/(-35))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140960 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*b**2*z**5 - 44*b**2*z**3 + 3*b**2*z + 2313*z wrt z?\nAnswer: 460*b**2*z**3 - 264*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**2 + 2*s - 7. Let i be g(3). Let u = 30 + -27. Suppose -5*r + c = -0*c - 160, -u*r + i = -2*c. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440602 divided by -1?\nAnswer: 440602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 9*v**2 + v - 201. Calculate the smallest common multiple of 165 and q(-12).\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201408608 + 1030.\nAnswer: 201409638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 20*m**2 + 9*m - 181. Let h be b(-19). Solve 0 = -5*k - 3*q - 1, 28*k - 5*q = 31*k - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2 (c) -1\/12 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 16*q - 26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b**(1\/14)))))\/b*b*b\/(b\/(b\/(b\/b**(3\/2))*b))*(((b*b**0)\/b)\/b)**(17\/5) assuming b is positive.\nAnswer: b**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (5 - -3 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*((sqrt(468) - (sqrt(468) + 2))**2 + 0).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 4, 0.3, -0.3.\nAnswer: -5\/6, -0.3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -103230 (base 4) to base 9\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 582420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087 = -12*p - 811. Let t(k) = k**3 + 5*k**2 - 7*k - 3. Let n be t(-6). Suppose 16 = z - n. Solve 0*i - q + p = 5*i, -z = -3*i + 2*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**4 + 195429*c**2 - 18009701 wrt c?\nAnswer: -28*c**3 + 390858*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16291667 divided by 49.\nAnswer: 332483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4267718*b**6 - b**2 + 11*b + 422?\nAnswer: 512126160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = u - 55766, -u + 55765 = -77*i + 75*i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10437, 20908, 31383, 41862, 52345?\nAnswer: 62832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802.406 centuries to decades.\nAnswer: 8024.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*k - 2*u, -627*k + 5*u = -631*k - 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m - 4*m + (0*m + m - 2*m)*(0 + 1 + 2) - 2*m - 7*m + m - m + 3*m - m to the form s + h*m and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 300\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018177 to five dps.\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 401, 431, 481, 557, 665, 811?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*o**3 + 1131*o**3 - 564*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2. Let f(l) = 142*l**2 - 28*l - 10. Let d(x) = f(x) - 6*g(x). What is the second derivative of d(t) wrt t?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 35 - 7. Let s be -2 + -22 + (-1 - 2). Let d = s + i. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2)\/4*4\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 + -35031\nAnswer: -35029.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 - 29*h**4\/2 - 79*h**3\/2 - 49*h**2 - 26*h - 4 = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 + 11) - (0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66\/151 + -19\/302. Sort -3, -32, -5, b, 1\/4 in decreasing order.\nAnswer: 1\/4, b, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*p + 4*o, 2*o = 8*p - 13*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72\/5 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - -60 - (-8 + 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:08 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:56 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228641, -1228661, -1228681, -1228701, -1228721?\nAnswer: -1228741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2967 is divided by 229.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/((h**(-1)\/h)\/h)*h)\/h))\/((h**(2\/29)*h)\/h)*(h*h**(-2\/3)*h)**(-11\/4) assuming h is positive.\nAnswer: h**(-586\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3193 and 9308625?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 13. Let t(u) = u + 5. Let d be t(-5). What are the prime factors of s(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811*o = -854*o + 1633226. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -686 - -691. Suppose -24*n + 57 = -m*n. Solve 0 = n*j - 6*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*l + 523*l + 267*l - 1348*l + 267*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 + 1306 + 1836 - 6*c**2 - c**2.\nAnswer: -7*c**2 + 2528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:09 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 17*d**5\/5 - 7*d**2 - 13. What is the second derivative of f(s) wrt s?\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 equal to -11259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2. Suppose -3*f + 7 = -2. Let h be f*2\/6 + 1. Let n(m) = m + h*m - 4*m. Give z(n(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007388 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.24 - -6.24. Sort -4\/9, 13\/4, -0.3, s in descending order.\nAnswer: 13\/4, -0.3, -4\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -262*p - 77. Let k be v(7). Let s = k + 3271. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 231, 1360, -3.\nAnswer: -3, 4, 231, 1360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -1067.\nAnswer: -41\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 39. Let r(a) be the third derivative of -3\/20*a**5 - 3*a**2 + 0*a**x + 0 + 2\/3*a**3 + 0*a. Let j(l) = -5*l**2 + 2. What is -11*j(n) + 6*r(n)?\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 11. Let g be ((-4)\/2)\/((-4)\/(-22)). Let b(z) = 5 - 2 + 1 + z + 0*z + 0. What is g*b(n) + 4*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from eqseiiiqqijqqe.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 652, 1309, 1968, 2629, 3292, 3957, 4624?\n\"Answer: w**2 + 654*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0 + 1\/2*a**3 - 3\/20*a**5 + 0*a**4 + 0*a**2 - a. Find the second derivative of f(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -12. Suppose -13 = -p - 12. Let n = p + -1. Which is the second smallest value? (a) z (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990263264 to the power of 1\/2, to the nearest integer?\nAnswer: 44612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1229734*b**4 + 144*b + 3231 wrt b.\nAnswer: 14756808*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 17*w**2 - 29*w - 19. Calculate p(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 190 and 191.74?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuututtutt. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 36. Let b be p(23). Solve -42*k - b = -10*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3972160 to the power of 1\/2, to the nearest integer?\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 9 + (1 + (3 - 1) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:04 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 2. Let r(a) = -13*a + 9. Let s(b) = 9*d(b) + 2*r(b). Suppose x - 16 = -10. Let m(z) = 1 - 1 + x*z. Give s(m(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18 + -16 - (-5 + -1). Let a be o + -2 + -1 + -2. Solve -k - 5*b = 10 + 4, 11 = 2*k - a*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2051 - 2050.9. Let l = -1 - -0.7. What is the smallest value in i, -0.4, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 192, 178, 156, 120, 64, -18?\n\"Answer: -k**3 + 2*k**2 - 13*k + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*s - 45, -6*s + s = 4*m - 5. Suppose 5*p - s*u = 115, -5*p + 35 = -2*u - 80. Let y = p - -96. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1587 + 1629. What is the smallest common multiple of 1 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 201 = 3*t, -3*t + 85 = a - 8*t. Let z(f) = -24*f - 24*f - 26*f + a*f. Let m(w) be the third derivative of 7*w**5\/60 + 8*w**2. Give m(z(n)).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11.4 times 0.01232\nAnswer: -0.140448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1100 - 1100 - 1633*w)*(-5*w**2 + 4 - 5 + 6*w**2).\nAnswer: -1633*w**3 + 1633*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1951 - 1948. Solve 4*q = -2*o - 8, 3*q + 16 = j*o + 2*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730569320 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122414262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*q = -34, d - 281 = -10*q - 177 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 2270576?\nAnswer: 20435184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, -39, -0.1, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/9 + 24634*h**2\/9 - 1867852*h\/9 + 11820584\/3.\nAnswer: -(h - 24558)*(h - 38)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2015863.925 and -0.012.\nAnswer: 2015863.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*p + j, -2*j - 51 = 5*p + 2*j. Let c(o) = o**2 + 9*o. Let t be c(p). Let k be 2\/t + 116\/224. Is k at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let j(r) be the second derivative of 49*r**3\/2 - 84*r - 3. Calculate c(j(y)).\nAnswer: 21609*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:34 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**3 - 22*k**2 - 1032*k wrt k?\nAnswer: -24*k - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 3, b: 6, o: 2, r: 1}. Give prob of sequence drd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from aaaoaoaaaaaa?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.72637 micrograms?\nAnswer: 3726.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073332105?\nAnswer: 3, 5, 23, 211, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 39, 33, 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 238, 357, 476, 595?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let t(j) be the second derivative of 10*j**3\/3 + j**2 - 248*j. Determine t(b(o)).\nAnswer: -20*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2542 - -150023\/38130. Let k = -4573\/42 + 1581\/14. What is the common denominator of g and k?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -8. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/15 - 149\/10. Let f = -9465159\/10146208 - -292\/313. Let x = f + 1977343\/1069728. What is the common denominator of x and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(-1\/20)\/((u\/u**(2\/5))\/(u*u\/u**(-4))))**(8\/11) assuming u is positive.\nAnswer: u**(1084\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/33))**(2\/9) assuming m is positive.\nAnswer: m**(4\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/((-22910)\/1501))\/((-1)\/5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 275, 280, 297, 332, 391, 480, 605, 772?\n\"Answer: o**3 - 2*o + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8399227 divided by 163.\nAnswer: 51529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1300, -10181, -34232, -81037, -158180, -273245?\n\"Answer: -1264*g**3 - g**2 - 30*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Differentiate -2*r - a*r + 3 - 3*r + 4*r with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**4 + 68*i**3 + 84*i**2 + 44*i + 8.\nAnswer: 4*(i + 1)**3*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -2 - (2 + 0). Let d(l) = l**2 + 5*l. Let t be d(w). Let g(y) = 6*y + 1. Let f be g(-1). Put f, -3, t in descending order.\nAnswer: -3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 8*d - 4. Let q be h(-7). Let o be -1 + 2\/(-2) + q. Which is bigger: 1\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y - 2*y + 4136 = -14*y. What is the remainder when 373 is divided by y?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 37*s**3 + s - 1. Let t be -2 - -1 - (0 - 2). Let y = -66158 + 66180. Calculate the remainder when k(t) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2822130037 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let i(f) = -f**2 - 3*f + 3. Let n(k) = -2*k**2 - 4*k + 4. Suppose 3*m = -2 - 10, 5*h - 2*m + 12 = 0. Let q(w) = h*i(w) + u*n(w). Factor q(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 37\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -0.222.\nAnswer: -18.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279552.\nAnswer: 2, 3, 19, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a + 6. Let s(c) = -33*c - 13. Let l(u) = -13*k(u) - 6*s(u). Let g(n) = 12*n**2 + 5. Calculate l(g(y)).\nAnswer: 36*y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 1. Calculate the lowest common multiple of v(-5) and 228\/20 - 138\/(-230).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -182962, -182605, -182248, -181891?\n\"Answer: 357*h - 183319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4698 and 30?\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 536 and 153564.\nAnswer: 307128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/11*(-15)\/(-35)*(-49)\/3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-18)\/(540\/(-930)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2154, -4286, -6444, -8640, -10886?\nAnswer: -13194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1539)*5 + (sqrt(1539) + sqrt(1539) + (3 + sqrt(1539)*-1 + sqrt(1539) - sqrt(1539)))**2 + 2*(sqrt(1539) - (sqrt(1539) + -1 + -5)**2).\nAnswer: -1602 + 243*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3164, -6311, -9472, -12653, -15860?\n\"Answer: -c**3 - c**2 - 3137*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1152 + 1638. Let p be ((-16)\/6 - -3)\/(2\/c). Calculate the greatest common factor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(-2)*-4. Sort z, -0.1, 0.2 in decreasing order.\nAnswer: z, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 + 1.1. Let m = -0.2 - -1.2. Let i = -17\/16 + 203\/176. What is the smallest value in m, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 19 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 39 = -167. Let i be ((-3)\/16 + 0)\/((-6)\/v). What is the second biggest value in 5\/3, -1, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -286*f - 8. Let m(z) = -8110*z. What is k(m(d))?\nAnswer: 2319460*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, p: 7, v: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/31, 1\/4, -3 in ascending order.\nAnswer: -3, -2\/3, -2\/31, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430.17 - -430.5. Which is the closest to 1\/3? (a) 2 (b) x (c) 2\/5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -62, 21.05, 1\/28?\nAnswer: 21.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-6 + 3) + 2. Let h(p) be the first derivative of 15\/2*p**4 + 34\/3*p**3 + 8\/5*p + 32\/5*p**y + 3. Factor h(c).\nAnswer: 2*(3*c + 1)*(5*c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (35\/(-1))\/(4\/(-2)) and -26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/310, -5, 3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3118 (base 10) to base 11\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4 and -103\/30042?\nAnswer: 60084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.2, 1, -7\/10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5274 + 5279. Solve -12 = r*h - 8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*g - 496, 2*g = 18*z - 17*z - 134. What is the remainder when z is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -5\/336*n**8 + 0*n**3 + 0*n**6 + 0*n - 16*n**2 + 0*n**7 + 0 + 0*n**5 - 5\/8*n**4. What is the second derivative of i(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.26. Let k = r + -0.06. Which is the nearest to -1\/3? (a) k (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71418 divided by -6\nAnswer: -11903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344323627 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 466619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:00 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100414 (base 7) to base 15\nAnswer: -5094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -31415 + ((-4)\/6 - (-15)\/9). Let h = a + 72014. Round h to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/((-1)\/5). Suppose -3*l = 4*v - 5, 0*l - b*l = -v + 4. Suppose 18*o + 100 - 46 = 0. Sort 0, o, l in decreasing order.\nAnswer: 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440.60537703205 - -0.39462049795. Let s = k - 441. Round s to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 378*p**3 - 11907*p**2.\nAnswer: -3*p**2*(p + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -3 - -1 - (83 - -12 - 41)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/10 - 124\/(-2). Let h = c - 57. Let b(o) = 2*o - 4. Let w be b(3). Sort w, -5, h in increasing order.\nAnswer: -5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/6, -0.3373?\nAnswer: -0.3373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, a: 4}. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:47 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20995 + 21094.832. Let q = j + -1.232. Round q to the nearest integer.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 5. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/5 (b) 2\/15 (c) 0.05 (d) 41\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 38. Calculate the remainder when 67 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 17. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, -507, -1.4, 1\/5, 3 in decreasing order.\nAnswer: 3, 1\/5, -0.5, -1.4, -5, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 62\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 57. Let s(x) = -5*x + 306. Let u be s(b). Suppose 6*o = 264 + u. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29839, 29846, 29807, 29722?\nAnswer: 29591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18635 - -38645. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3182 and -8.\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 1 + 5*y - 7*y)*(15*y**2 + 32*y**2 + 9*y**2).\nAnswer: -56*y**3 + 56*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7933 and -1.1.\nAnswer: -7934.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 92. What is the second derivative of -6*z - 5*z + l*z**4 - 38*z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 0.024, 2.8, -5, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**13\/w)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 52*y - 3163. What is v(-88)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9438 - -481.561054?\nAnswer: -8956.438946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/79 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v**2 + 3*v. Let k be m(2). Let c = -7 + k. Calculate the lowest common multiple of 5 and c*(-33)\/6*2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + -93 + 119 + 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -12*v + 12. Solve -2*q - 2 = -2*n - 4, -v*n - 24 = q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n. Let q(h) = 110*h. Determine q(w(f)).\nAnswer: 660*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 225?\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*u**2 + 45*c**3 + c**2*u**2 - 1055*c*u**2 + 21*c wrt u?\nAnswer: 2*c**3*u + 2*c**2*u - 2110*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.24554?\nAnswer: -0.24554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 + 5*v - 3. Let u(l) = 3*l**2 + 2*l - 1. Suppose 5*i - 7 - 36 = -2*n, -3*i + 5*n = -32. Determine i*u(p) - 4*x(p).\nAnswer: -p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 298402139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 + 76*v**4 + 264*v**3 + 376*v**2 + 244*v + 60 = 0. What is v?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 2\/11 (b) 0.01 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 0 + sqrt(1700) - (sqrt(68)\/sqrt(4)*2 + sqrt(17)))*-1.\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33627870 + 0.2.\nAnswer: -33627869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 673564 = -4*w, -4716614 + 338448 = -26*w + f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:02 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (73\/163812*-44)\/((-6)\/(-9))\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 0. Let b = 52.0000051 + v. Round b to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8633*w - 284913. What is z(-33)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.4 + 7.4. Let y = a + -2. What is the nearest to 28 in y, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.910779mm?\nAnswer: 0.003910779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 40989*h**2 + 66119*h**2 + 49221*h**2 - h**3.\nAnswer: 5*h**3 + 74351*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1279*n - 55. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -108. Let x = -12 + b. What are the prime factors of (x + 0 + -1)\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 2 - 2)*(-t + 2*t - 5*t) - 5*t + 2*t + 13*t to d + h*t and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 + 2*m**3 + m**2 - 6*m. Let i(b) = -b**2 - 23*b - 3. Let a(o) = 5*c(o) + 3*i(o). What is the tens digit of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4*g**2 - 4 + 10.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 14520*y**2 + 17627136*y - 140089344.\nAnswer: 3*(y - 2416)**2*(y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 303 and 36?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -12. What is the smallest common multiple of i and 20\/(-250) - (-906)\/75?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 3. Let l(k) = -k**3 + 12*k**2 - 10*k. Let p be l(11). Let x be w(p). Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c + 284 = 65*c - 58 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (0 + sqrt(112))*6) + 5)**2 - (-4 + -3 + 1 + 1*sqrt(7) + sqrt(7) + sqrt(7)).\nAnswer: -203*sqrt(7) + 2831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 18*s + 42. Let n be g(-2). Let r(x) = x**3 + 4*x**2 - 6*x - 1. Let z be r(-5). Solve -m = -z*m - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -0.2 (c) -4 (d) -62\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -3 - 4)*4. Let g = s - -12. Suppose -g*n + 10 = -2. Solve -5 = n*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342278 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153737 = 5*q + 3*x + 39537, 3*q - 68514 = -3*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20845, 0.2, -0.4, 5 in descending order.\nAnswer: 5, 0.2, -0.4, -20845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -9 + (20 - 113)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*h**4 + (-3*h + h + 4*h)*(-2*h + 2*h**3 + 2*h) + (15*h**2 + h**2 - 6*h**2)*(-15*h - h**2 + 15*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -28. Let c = 65 + z. Determine g so that -6*g + 25*g**2 - 10 + 45*g - 22*g**c - 4*g + 2*g**3 = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1584 - -2?\nAnswer: -1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-36)\/(-20) - 16\/(-5). Suppose 0 = -2*q + s + 3, q - 4*q + 2*s + w = 0. What is the closest to 3 in q, 0, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0649 * -0.194\nAnswer: 0.0125906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 37. Suppose -w*z + 3*z + 4*f + 958 = 0, 1477 = 3*z + 4*f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18*g**2 + g - 22. What is the hundreds digit of h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*q + 2. Calculate the remainder when 64*4\/5 + q\/(-5) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 19953988?\nAnswer: -19953987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 175*k. Let i(f) = 773*f + 6. Give s(i(w)).\nAnswer: 135275*w + 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.58 + 16.9656?\nAnswer: 9.3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(300)*-1)**2 + 0 + (sqrt(300) - ((1 + sqrt(300))**2 - sqrt(300)) - sqrt(300)) + 5 + 0 + 5 + -2.\nAnswer: -10*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 48*y**3 + 4*y**2 - 48*y.\nAnswer: -4*y*(y - 12)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + j = 0, -2*m + 6*m + 2*j = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*w + 3*w + 16 = 0, m - 3*w = 0. Suppose m*t + o + 103 = 14*t, 5*o = 25. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 21480725.\nAnswer: -21480725.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueee when four letters picked without replacement from euuueyuueue?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-770))\/(((-91)\/(-65))\/(1\/((-8)\/(-8))))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.90493211 - -0.905. What is a rounded to 6 dps?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5116*p**3*v + 2*p**3 - 990*v - 5 with respect to p.\nAnswer: 15348*p**2*v + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165.38 - 146. Let d = m - 19. Let r = d - 0.08. What is the second biggest value in 0, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25554342 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27154349 to 5 decimal places.\nAnswer: 0.27154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19426, 19604, 19898, 20314, 20858?\nAnswer: 21536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.59 to one decimal place.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*((-866)\/10 + -3). What is the greatest common factor of f and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9164, -36581, -82242, -146141, -228272?\n\"Answer: p**3 - 9128*p**2 - 40*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d**3\/5 + 24*d**2\/5 - 2*d = 0.\nAnswer: -1, 0, 5\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 14}. Give prob of sequence qq.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - y**3 - 4*y**3 - 5*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 28. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 4*t**2 - 2*t**3 - 2 - t**2 in the form h*t**2 + g + w*t + k*t**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6310*d**5 + 367*d**2 + 88*d**2 + 6449*d**5 wrt d.\nAnswer: 8340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 15*c + 81. Let w be o(19). Solve 0 = -4*x + 3*f - 5, -x + 3 = -w*f - 0*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.1. Let d be 1 + ((-15)\/9)\/1. Let v = 11.5 + -11. Which is the nearest to k? (a) d (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 111312203?\nAnswer: 111312120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 = -3*j + 4*j, 34 = 2*w - 5*j. Let p(f) = -12*f + 10*f - w*f - 2*f. Let n(l) = -2*l**2 - l**2 + 4*l**2. Give p(n(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 756 = -135*u + 146*u. Calculate the remainder when (120 + 0)*4\/6 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nataantanaunnnamnnnn. Give prob of picking 1 a and 1 u.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 0. Solve 0 = l - 4*l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 0.4, -4, 0.2, -3\/713?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Suppose 156 = n*m + m. List the prime factors of m\/6 - 5\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - (2 - 18). Let a = 15 - g. Let y = -0.06 + 3.06. What is the third biggest value in a, y, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402251809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 8*u**3 + 90*u**2.\nAnswer: -2*u**2*(u - 5)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/130 + (-2590)\/(-65). Let a be 2 + 0 - (5 + -6 - -10). Let c be (a - -6) + 1 + 40. What is the highest common factor of f and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-9) + 149\/(1 + -2). Let u = b + 448. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/l**(-1\/2))\/l)\/l))**(-1\/18)\/(l**12\/l)**(-1\/12) assuming l is positive.\nAnswer: l**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbbgbg. Give prob of sequence bg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*b - 4 = -307*b, -4*v = -2*b - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*-2*3\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/6 - 2*j**3\/3 + 79*j. Give r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Suppose 0 = 4*u - 4*o - 20, -u = j*u + o - 3. Let n(s) be the second derivative of -s**5\/20 + s**4\/6 - s**3\/3 + s**2\/2 - s. What is n(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4176493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-28)*j**18*j*j*j)**(1\/4))**(5\/12))**(2\/17) assuming j is positive.\nAnswer: j**(-35\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, -2, 11 in descending order.\nAnswer: 11, -1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 53*w**2 + 544*w + 58. Give p(39).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10a (base 11) to base 12\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 27 = -5*j, -6*j - 9*v + 12*v + 33 = 0. Solve j*g - 42 + 32 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 163 - 35. Find the common denominator of -121\/10 and (1\/(-4))\/(c\/(-600)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -11. Let f = 10.895 + h. Let a = 0.1007 + f. Round a to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9412284 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*k**2 - 492*k**2 - 32 + 3.\nAnswer: -12*k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510 and 1870.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13\/30, -190\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pacf when four letters picked without replacement from ppaacpffp.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 - 182. Let h be (-8)\/28 - 30\/m. Let l = -22\/45 - -4\/15. Put -1\/3, l, h in decreasing order.\nAnswer: h, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*b)*(1 - 2 - 1) - 3*b + 0*b + 5*b - 5*b + 3*b + 0*b)*(3 - 5 - 5).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 + 403*b**2\/8 + 803*b\/8 + 401\/8.\nAnswer: (b + 1)**2*(b + 401)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(51)\/sqrt(3) + -3)*-5)**2 + (sqrt(51)\/sqrt(3) + -4 - (1*sqrt(272))**2).\nAnswer: -159*sqrt(17) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06138*-65\nAnswer: -3.9897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -32*g + 9. Determine w(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -12*p - 5. What is the nearest to p in 3, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2522697.4 and -0.3.\nAnswer: 2522697.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 54*b**4 + 57*b**3 + 594*b**2 + 480*b = 0 for b.\nAnswer: -2, -1, 0, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 50 = 13*m, -5*v + m - 46 = -32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(15\/4)*22555\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12267703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30328754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58812 is divided by 1132.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4795579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -67, -68, -69?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/84 and 39\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 11\/15111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-36)*24786\/324.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88, 75, 54, 25?\n\"Answer: -4*k**2 - k + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a - 6*h + 9*h, -2*a - 4 = 2*h. Suppose -5*l - 5*d = -1940, -103*d - 780 = -a*l - 106*d. What is the remainder when l is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 197952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32101\/1 + 1\/(3\/(-6)). Suppose 8*o - 4*o - 25699 = 5*r, 2*r = -5*o + d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:18 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from cccccecccecccce?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 + 3*s + 3. Let v be y(-2). Let o be ((-3)\/v - -2580)*-186. Let k = 270066 + o. Round k to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7326 = -358*z + 26324 + 15012 for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/2)*i*i**1*(i*i\/(i**(-3\/7)\/i)*i)\/(i\/(i*i*i*i\/(i\/((i\/i**(1\/10))\/i)*i))))**(-21) assuming i is positive.\nAnswer: i**(-927\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/3 - 10259*k. Let m(n) = 2*n + 5*n - 4*n. Determine h(m(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5.5 (b) 13 (c) -4 (d) 5\/252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 - 6.41. Let d = -0.81 - s. Let v = 4.41 - 4.01. What is the nearest to 5 in d, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -602370?\nAnswer: -602363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 33. Calculate the greatest common divisor of 121 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t. Let r(m) be the second derivative of 11*m**3\/6 + 2*m**2 + 14*m. Let d be r(1). Let x(i) = -15 + d + 2*i. Calculate x(g(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 498568 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018383563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -657, -1048, -1475, -1932, -2413, -2912, -3423?\nAnswer: -3940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 12 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m. Let n(u) = m*u - 1 + u**2 - 4 - u + 16. What is the tens digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463417996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/4*532\/133.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a0 - 2?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31003021 (base 4) to base 2\nAnswer: -1101000011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 22, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/10 - 32*h**3\/5 - 768*h**2\/5 - 8192*h\/5 + 46. Find u such that j(u) = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6211.296 days?\nAnswer: 536655974400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 20, 1 in decreasing order.\nAnswer: 33, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 4*t**2 + 2*t**2)*(1 + 2 - 1) + 3*t**2 - 5*t**2 + t**2 - 7*t**2 - 20*t**2 - 18*t**2.\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*k + 4*k - 35 = 0, 0 = -3*s + k + 23. Let z = s - 13. Let l(f) = -f**3 - 4*f**2 - 5. Calculate l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*x + x**3 - x**3 - 731495*x**5 + 731087*x**5 wrt x.\nAnswer: -8160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + j**3 - 2*j**3 + (0*j - 6*j + 2*j)*(4 - 4 + j**2) + (0 + 8 - 10)*(10 - 3*j**3 - 10).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -185*i**2. Let g(h) = -h**2. Let q(y) = -f(y) + 148*g(y). Let s(c) = c. Calculate q(s(k)).\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -43, 4, 59?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 314.98, -2, -2\/9, -5 in descending order.\nAnswer: 314.98, 2, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.3. Let n = -465 - -462. Let u be (-2)\/(8\/n) - (-13 + 14). What is the nearest to u in -5, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 42 - 49. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2187, 2933, 3679?\nAnswer: 4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 319, 53, -735, -2219, -4573, -7971?\nAnswer: -12587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + 26. What is the remainder when h is divided by ((-3)\/2)\/(2\/(-36))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014.743 rounded to the nearest 10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5 + (-594)\/(-315) + 0 - 2. Which is the second smallest value? (a) -2 (b) s (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -214 - 96?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 26. Calculate the remainder when 65 is divided by (0 - (-1 - (3 - 3)))*f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166897692 to the power of 1\/2, to the nearest integer?\nAnswer: 34160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*c - 316, 0*c = -5*b - 2*c - 548. Let f = b - -188. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-28 - (9 - 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9*p - 4*p = 25, -a - 15 = -3*p. Let w = -35\/6 + 6. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - c)*(26*c**4 + 22*c**4 - 2*c**4).\nAnswer: 184*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.018 + -3.982. Let v be 0*1\/(-2)*-2. Which is the nearest to -1? (a) i (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/2 + (7936\/648)\/(-2) and -65\/243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/26)\/3)\/((-104180)\/67717)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 6*y - 21. Let q be z(7). Let b be 248366\/q - 87\/(-203). Round b to the nearest one hundred.\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*1.3061935\nAnswer: 0.013061935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32572 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 5:57 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/55)\/p)**(-31)*p**(-1\/35)\/p**(-46))**(-22) assuming p is positive.\nAnswer: p**(-60136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 11. Suppose 0 = q - l + 22, 0*q + q + w = 5*l. Let c = q - -29. What is the remainder when 20 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k - 2*k - 36 = 0, 84 = 2*n - 2*k. Suppose -2*q + n = 2*q. Solve 2*g + 17 = 5*p + 1, -q = g - 4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose -2*r + t*r - 16 = -4*c, 5*r + 4*c - 32 = 0. Are 8 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*s = 2, 4 = 4*d - 7*d + 5*s. Suppose -2*z + 4*z - 4*b = 70, 0 = -d*b + 2. Let n = 12 + 1. What is the remainder when z is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -20?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71227 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (6 - 8) - ((-4 - -24) + -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 6. Suppose -4 = 3*t + 5. Let d(c) = -3*c + 17. Let y be -16 + 16\/112*56. Give t*d(k) + y*m(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 950.5467 millennia?\nAnswer: 9505.467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -114, -176?\n\"Answer: -62*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/4)\/3*309\/((-224025)\/(-290)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 384691161 + 384691161.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 4*i**2 - i + 3. Let z(v) = -7*v**3 - 4*v**2 - 2*v + 4. Suppose -2*t + 16 = -3*w - 9, 5*w = t - 30. Let b(r) = w*z(r) + 6*q(r). Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80\/129 - 2\/43. Let p = 207 - 216.1. Let j = p + 6.1. Which is the third smallest value? (a) j (b) k (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-7))*l)\/l*l\/((l\/l**4)\/l))\/((l*l**0)\/(l\/l**(-2\/13))))\/(((l\/l**(-4))\/l**(-3))\/((l*l\/l**(2\/3)*l)\/l)**(1\/2)) assuming l is positive.\nAnswer: l**(188\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 3*o + 1, 5*w + 5*o + 10 = 0. Let j(d) = 2*d**2 + 4*d. Let a(p) = 2*p**2 + 3*p. Calculate w*j(h) - 4*a(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -13711 (b) -3 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.78 less than -711?\nAnswer: -530.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 4*p, -5*w + p - 8 = 16. Let m be ((-20)\/25)\/(w\/10). What is the units digit of (15\/6)\/(m\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -49*b + 199. What is v(5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*n**3*o**3 + 7*b*n**3*o + 9*b*n**2 - 2*n**3 + 13*n**2*o**3 with respect to b.\nAnswer: -n**3*o**3 + 7*n**3*o + 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 38 (b) -5 (c) 5 (d) -2 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 9*g + 28*g = -897 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -70?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let d(l) = 3*l - 4. Let u(r) = d(r) - 4*q(r). Let b be u(2). Suppose -x = -b*x - 5. Put -2, x, -5 in ascending order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-3 - (-3 + (6 - 3)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 8 = -4*k. Suppose -12*g + k*g - 304 = 0. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/12, 2, 4, 0.3, -4, -1\/336, -675?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22976297.3 and 11.3.\nAnswer: 22976308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13946 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0294 in -13, -2, 4.5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*3*sqrt(112)*-2*-2)**2.\nAnswer: 580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 694297 to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 24 = 0. Suppose c - 14 - 2 = 0. Let a = 2564 - 2554. Solve -3*i - h = c, 5*h + u = i - a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:07 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/13)\/((-163)\/(-2119))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 415\/8, -2, -3, -2\/3, -0.7, -5\/42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1769522 and -13.\nAnswer: -23003786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -1.8. Let z = -2.5 + p. Which is the biggest value? (a) -5 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3\/547 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -181 + 196 - d - 10*d - 4*d**2 + d**3. Let r(t) = -t**3 + 5*t**2 - 3*t + 2. Let f be r(4). Is n(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 not equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 123, -1\/6, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 41*t - 138. Calculate the remainder when 107 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26)\/(w*w**(-2)) assuming w is positive.\nAnswer: w**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 2, -546?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b + 19*b - 22 - 4.\nAnswer: 51*b - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*u + 3*w, 2*u - 5 = 5*w - 0*w. Suppose -12 = g - u*y, 2*g - 5*y = -3*y. Let f = -20 - -25. Solve f*j + 2 = -g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-13))\/((-2)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-388)\/18 + 0 + (-88 - (-27580)\/315)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2\/4 - 393*v\/4 + 603\/2 = 0.\nAnswer: -134, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-60)*5\/(-2) - 220\/(-66). Factor 0*v + 0 - 5*v**3 - 5\/2*v**4 - 5\/2*v**o.\nAnswer: -5*v**2*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1000, -1558, -2214, -2986, -3892, -4950?\nAnswer: -6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/249933?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-30))\/(3*(-6)\/45). What is the third smallest value in -0.1, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2. Let g(k) = -3553*k**2. Calculate z(g(m)).\nAnswer: -37871427*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 22 - (-3 + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 8. Calculate the remainder when x(9) is divided by 2 + (13 - 1) + (9 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Suppose 11*j = -h*j. Solve j*n + 11 = -2*n + m, -3*m = -3*n - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1338672 years to decades.\nAnswer: 0.01338672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*c - 8*c + 662*c + 58*c in the form k*c + o and give k.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 9)*(2 - 2 - c).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.017 - 0.017. What is the closest to 0 in -2\/7, 1\/17, a?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/49))**(-6\/13)*(w\/(w\/w**(-12))*w*w)**41)**(2\/15) assuming w is positive.\nAnswer: w**(-522364\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/6 + f**2\/2 - 2*f. Let y be o(-8). Let s = 86 - y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.8 in 0.03, 0.0868, 1\/10, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168132 or -2\/9?\nAnswer: 168132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 2 - 3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {g: 1, x: 2, l: 3, t: 1, n: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*8*(-11)\/(-3). Suppose v + 4*i = 2*i + 17, v + 4*i - 23 = 0. Calculate the highest common factor of m and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20002 - 1210?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 68. Let o be g(0). Suppose 5*w = 18 - o. Is w\/(-25) - 263\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -27, -54, -81, -102?\n\"Answer: j**3 - 9*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272))**2 - (sqrt(1377) + -1)**2.\nAnswer: -1106 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-6)\/(-36)). Calculate the greatest common divisor of w and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491542.\nAnswer: 2, 13, 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 0*v)*(3*v**4 - v**4 + 0*v**4) + 2*v**3 - 2*v**5 - 2*v**3 + 776*v**5 + 739*v**5 - 387*v**5.\nAnswer: 1124*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9510 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 149?\nAnswer: 10\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, m: 1, x: 3, a: 2, b: 5}. Give prob of picking 1 m and 1 i.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + p - p + 3*p + 0*p - p + (-5*p + p + 3*p)*(-2 + 0 + 3) + 10 + 7*p - 10 to o*p + s and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.48 - 1.48. Let t = 1 - p. What is the nearest to 0 in -1\/5, t, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 50, 12, -5, -2 in increasing order.\nAnswer: -24, -5, -2, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*k + m, -4*k + 52 = m - 71. Let o be (-216)\/(-16)*k\/(-6). Let x = o - -74. Solve 0 = -d + 3*s + 3, 1 + x = d + 3*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/9))**(1\/29)\/(c*(c\/(c\/c**(-19)))\/c*c\/c**(-1\/11)*c))**(7\/13) assuming c is positive.\nAnswer: c**(340669\/37323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1184 divide 10085021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23534 and 29249400.\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33cd91 (base 15) to base 12.\nAnswer: -9b3561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10*15\/63. Which is the nearest to 8? (a) v (b) -0.8 (c) -1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583352 < 2583397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35*5 - 24\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d - 10*d + 5*d**2 + 7*d**2 + 0*d wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3, 1\/3, 2, 3, 176\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2195*b + 4. Let m(q) = -2209*q - 7. What is -3*m(j) - 4*n(j)?\nAnswer: -2153*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 37320061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/40 and -37\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12))\/((-22)\/(-21) - 0 - 1). Solve -i = -4*c + d, 39*d - 34*d = 4*c - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*o + 17*o - 100. Let b = 37 + o. What is the smallest common multiple of 10 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*286\/(-3). Let r = z - 48. Which is the closest to 1? (a) r (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/4 - 229*y\/4 + 6027\/2 = 0. What is y?\nAnswer: 82, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5674471 + 4757*k - 5674471)*(k**2 + 3*k**2 - k**2) as d + n*k + f*k**3 + i*k**2 and give f.\nAnswer: 14271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12583, 14, -2\/41, 3, -0.4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r + 2*i, -2*r + 3*i + 14 = 4. Suppose -254 = -r*u + 26. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12332 (base 8) to base 2\nAnswer: -1010011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 + 669143*x**2 - 1754375*x.\nAnswer: 12*x + 1338286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 - 125298*t**4 - 125301*t**3 = 0.\nAnswer: -1, 0, 41767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 68. Let o(m) = 3*m - 33. Determine -4*l(k) + 7*o(k).\nAnswer: k + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t - 6. Suppose -6*f + f = 15, 10 = 4*a - 2*f. Let p(x) = 4*x**2. Let n be p(a). Determine i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5762966164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let q(y) = 7698*y - 10. What is q(b(h))?\nAnswer: -7698*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/2 - 1441*a**2\/2 - 1471*a + 5804.\nAnswer: (a - 2)*(a + 4)*(5*a - 1451)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*q = 35, 4*q + 2 + 3 = -5*i. Let g be i + -1 + 1 - -2. Suppose -g*j - 24 = -3*x, -4*x = -x - j - 24. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8794865320.\nAnswer: 2, 5, 61, 431, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106180 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-13)*n*n**(-2) assuming n is positive.\nAnswer: n**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*(-15)\/12*(-42)\/7*(-67)\/(-201).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468.326 + -468. Round t to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/900)\/(4\/(-370)))\/(((-256)\/20)\/32)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173 or 1902\/11?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18936?\nAnswer: -1\/6312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5426 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) -0.2 (d) 2\/643\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -32 + -41 + 69?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -9*a + 2*y, 14*a = 9*a + 4*y + 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -353 + 9*i**2 + 353 + (-3*i + i + 3*i)*(i + 1 - 1) - 4*i**2 + 2*i**2 - i**2 as k*i + c*i**2 + r and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.9569kg in nanograms?\nAnswer: 484956900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 6, o: 1, l: 5}. What is prob of sequence alao?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -1 - 68\/8*-4. Suppose 77 = 34*x - 25. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 118, 0, 2, -1 in descending order.\nAnswer: 118, 2, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1572404, -3144811, -4717218, -6289625?\n\"Answer: -1572407*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 15. Let x(w) = -5*w - 7. Let h(b) = 6*r(b) + 13*x(b). Suppose 76*q = 84*q - 120. Let g(j) = -18*j + 15. Determine q*h(v) + g(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 160 + -156 + 3\/(-2) + (-21)\/6. Let r(v) = 82*v**3 - v**2 + 1. Calculate r(t).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4204449.395 + 0.126.\nAnswer: 4204449.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252047200?\nAnswer: 2, 5, 1565059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 50. Suppose 149 = 3*f - z, 5*f + 2*z = 2*f + 143. Let v = f + -35. What is the remainder when r is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 7*x - 5. Let u be q(-8). Suppose -2*t + 13 = 9. Solve 10 = -u*f - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1507 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/153, -3\/4, -10\/19, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-20)\/(-1140)*169537)\/((-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 52\/(624\/9686)*(-12)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.71 (c) -5 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93147730 by -5.\nAnswer: 18629546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/280 and -113\/616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9899981824 + -5.99. Round w to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938400643?\nAnswer: 271, 829, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -134\/3. Factor -b*y**3 - 1\/3 + 1\/3*y + 1\/3*y**2.\nAnswer: -(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 14 + (-82 + -26 - -71).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2895\/8 and 361 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o = 75*o + 12, 0 = -f + o + 3119. Let y = f + -2152. Does 58 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363 + 13?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(4 + -3 + -23). Let d(u) = -2*u + 1. Let z be d(-5). Calculate the greatest common factor of z and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -282?\nAnswer: -13\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-14))\/((-3)\/14). Suppose -6 = -p*a + 14. Let m = a - 0. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555988 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69796142, -139592288, -209388434, -279184580?\n\"Answer: -69796146*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 4. Suppose 3*k + 9 = 0, 5*k + 40 = 3*r + 2*r. Let t be m(r). Let w(a) = a**2 - 4. Let j be w(-3). Solve -6 = -j*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13139 * 71\nAnswer: 932869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9304364 is divided by 2329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -319. What is the closest to 0.5 in 3, -4, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7 - (-8 + -6)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away -2793561572.8?\nAnswer: 2793561572.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = -0*z. Let t be 4\/14 + (-38)\/(-14). Let c = z + t. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -8.\nAnswer: -8, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 - 6*n + 5. Let d be a(5). Let s be (d - 1)\/((-4)\/28). Calculate the highest common divisor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219160?\nAnswer: 2, 5, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 3021 = -317*k + 2453 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: 50 (base 9) to base 2\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186 + -187)*(-2)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 103220?\nAnswer: -103213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*i - 5 = -2, 5 = 3*x + 5*i. Suppose x*u = 4*u - 92. Suppose 0 = -4*l + a + 37, -3*l - 2*a + 13 + u = 0. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-1 - 17\/4). Let g(r) = -44*r**3 + 5*r + 4. Let d be g(-1). Let f = w + d. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8983*r + 36. Let q(s) = -4493*s + 15. Give 5*q(j) - 2*z(j).\nAnswer: -4499*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 7*u - 18*u + h = -4, 0 = 3*u + h + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**6\/60 + m**5\/60 - m**4\/12 + m**3\/6 - 3*m**2. Give p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 18 + 4*z**2 - 9*z**2 - 5*z + 22. Let q be w(-4). Calculate the greatest common divisor of q and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 640 = 52*j + 125*j. Suppose -7 = -m + 17. Calculate the least common multiple of m and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.705 times 14.22?\nAnswer: 52.6851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/4 - 5*p**3\/2 - 5*p**2 - 5. Suppose -3*s + 48 = s. What is the tens digit of x(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -93.5. Which is the fourth biggest value? (a) -3 (b) 0.3 (c) q (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12320 - 8362. Calculate the least common multiple of 16 and z.\nAnswer: 31664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -291, -585, -879, -1173, -1467, -1761?\n\"Answer: -294*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*l = -540*l + 66 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 266 - 264 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -315, -419, -597, -849, -1175?\n\"Answer: -37*c**2 + 7*c - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2 + 6 + 4*o - 4 - 2. Let d = 0 - -4. Let c(t) = t - 1. Let p(s) = d*c(s) - 2*f(s). Let v(w) = -w. Give p(v(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/1602629438 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2080 = 2106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3171168)\/16562)\/(-198))\/((-8)\/14).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + o**4 + 3*o**2 + (-2*o + o - o)*(o**3 - o**3 + o**3) - 3*o**4 - 3*o**4 + 4*o**4)*(-68 + 15*o + 68).\nAnswer: -45*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22199.\nAnswer: 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 39, 31, -4 in ascending order.\nAnswer: -4, -3, 1, 31, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 28*s**2 - s + 20. Let u be o(9). Let g be ((-20)\/u)\/((-3)\/12). Let b be 3\/(84\/76) + -3. Sort b, 1\/2, g in descending order.\nAnswer: 1\/2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 + 5*h**4\/24 - h**3\/6 + 4*h**2. Let x be g(-6). What is the third biggest value in -0.4, 2, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/z**9*(z**(-1\/6))**27 assuming z is positive.\nAnswer: z**(-239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + 0*d)*(-11 + 6 - 5).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-91)\/(-26) + (6\/4 - 0). Suppose -h*k - 4*l = -65, -18 - 2 = -4*l. Solve 3*o - 3 = k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1024 + -0.5024. What is the nearest to 5 in 6, u, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02297 - -0.0225622. Round r to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8031932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -240, -315?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-45)\/6)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1114 + -286.5. Let a = z - 827. What is the nearest to 1 in -5, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*k**2 + 1143*k - 1143*k - 1 - 58*k**2.\nAnswer: 8*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/42*(-27)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*f = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 14 = 37*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 555.00119 + -555. What is o rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.47 and 0.15.\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**4 - 10*y**3 + 10*y**3 + 3*y**4 + y**4 - 2*y**4 + (-y**2 + 2*y - 2*y)*(5*y**2 + 2*y**2 - 4*y**2) + 3*y**4 - 3*y**4 + 2*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 + 2*q + 21. Let a be f(-9). Solve 0 = a*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218077230?\nAnswer: 2, 5, 17, 24812219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*p*r*u - 9*f*p - 121731*f*r**2 + 8*f + p*r**2*u + 2*p*r**2 - 2*p*r*u - 16*r**2*u + 7747*r**2 + 2*r*u wrt f?\nAnswer: -p*r*u - 9*p - 121731*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625651 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9777626, -9777627, -9777628?\nAnswer: -9777629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22782853?\nAnswer: 109, 197, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2299) - 1*sqrt(2299)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -43, -81, -133, -199, -279?\n\"Answer: -7*w**2 - 3*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 26*c + 70. Give s(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/79*2\/(-5). Let x = 6\/79 + q. Let c be ((-3)\/(-32))\/((330\/(-8))\/(-55)). Put 5, c, x in increasing order.\nAnswer: c, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 10*m - 6. Let s(r) = 3*r**2 + 29*r + 17. Let b(u) = -11*c(u) - 4*s(u). Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -2155\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 196 = d + 114 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -8 + 8\/7*d + 2\/7*d**4 + 6*d**2 - 20\/7*d**3 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3177451.774?\nAnswer: -3177448.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 500950777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z - 2. Let c = 117 + -121. What is the remainder when 52 is divided by y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6641 + 59767\/9. Which is greater: -2.312 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 9 = -5*n, 4*n = -3*t + 28. Let a = 30 - t. Suppose i = 5*s + 4*i - 554, -5*i = 4*s - 438. Calculate the greatest common divisor of s and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 7, w: 1, o: 6, j: 2, x: 2}. Give prob of sequence jx.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 6*d + 5. Let u be v(5). Let t = u + 60. Calculate the least common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 4, u: 5, b: 1, m: 1}. Give prob of picking 1 h, 1 u, and 1 f.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 9*w**2 + 10*w - 6. Let r be c(8). Calculate the highest common divisor of r and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 48. Let f be (3\/6)\/(z\/6). Let c be ((-12)\/18)\/(f\/3). Solve 5*k - 3 - c = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*j + 13 = 0, 4*w = 3*j - 2*j + 26. Let x be (w\/(14\/124))\/(-2). Let a = x - -36. Calculate the highest common divisor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33911458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.9 - -90.9. Sort -83, m, 0.\nAnswer: -83, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4776304 and 624?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892834457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 25. Let l(p) = -p. Let g(r) = -2*l(r) - n(r). Let h be g(-5). Suppose -x - 2 + 4 = 0. Solve 0 = -d + h - x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/24 - a**3\/3 + a**2. Let w = -2138 + 2146. Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*s + 218, -3*s + k + 4*k + 172 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-1*-238*(-533)\/(-3171350).\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734658 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/34 + -8 + 7 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1964 + -1266.2. Let b = t + -698. What is the nearest to 1 in b, -3, -31?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -24566\nAnswer: -368490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203743 to the power of 1\/2, to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 59?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*t + 108*t + 344*t**3.\nAnswer: 344*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*i - 20, -5*t = -0*t - 2*i + 10. Find the second derivative of 13*j + 2*j**2 + 5*j + t*j**2 - 11*j**2 wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -39. Suppose -4 = -4*o + 16. Suppose -u*h + 50 = -o*m, 2*m - 1 = -2*h + 3. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from eewewwweeee.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:24 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/23 + 16677674*i\/23 = 0.\nAnswer: 0, 8338837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812898037?\nAnswer: 7, 116128291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-253)\/(-44) + -5 + (-61)\/92.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + ((sqrt(540)*3 + sqrt(540))\/sqrt(12)*-3)**2*-4.\nAnswer: -25916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 8060\/279 - (-3)\/((-5778)\/2104).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/4 - 7*u**3\/6 + 7*u**2\/2 + 8*u. Let l(x) be the first derivative of f(x). Differentiate l(a) with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + -7?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -20. Let k be 32\/(-40)*f\/12. Let x = 544 - 548. What is the closest to k in -5, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 5*w - w - 4*w + 3*w - 13*w + (-4 + 1 + 1)*(3*w + 2*w - 7*w) + 3*w + 0*w - 4*w in the form u*w + r and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c + 252. Let s be u(-26). Let k be s\/(-6) - (-30)\/(-225). Factor k*n - 4\/5*n**2 - 2\/5.\nAnswer: -2*(n - 1)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 317\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 22345342 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/151 (b) -1 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**3 - 7*g**2 - 7*g. Let v(t) = -7*t**3 + 3*t**2 + 3*t. Let n be (6\/(-9))\/(6\/27). Suppose -66*i = -63*i + 21. Give i*v(f) + n*y(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9355.2 + -0.1.\nAnswer: -9355.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y + 309 - 895 + 308 + 277.\nAnswer: 24*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:20 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -6.14. Let y = -2.3 + 0.3. Let v = u - y. Which is the smallest value? (a) 0 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1864755, 7459021, 16782795, 29836077?\n\"Answer: 1864754*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*p - 31, -n + 37 = 8*p - 9*p. Solve -12*c - n = 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9060, -18378, -28214, -38826, -50472, -63410, -77898?\n\"Answer: -43*w**3 - w**2 - 9014*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 5.64?\nAnswer: -67.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696888077.\nAnswer: 3, 79, 607, 53503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 10*w**2 + 10*w - 3. Let y be f(6). Let n = y + -53. What is the remainder when n is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 216a608 + 0?\nAnswer: 216a608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*l**3*o - d**2*l**2 - d**2*o + 23*d*l**4*o + 2*d*l**2 + d + l**4 wrt l?\nAnswer: -6*d**2*o + 552*d*l*o + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - -1*sqrt(475)) + 0 - ((sqrt(475) + 0)*2)**2) + -1.\nAnswer: -1901 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 24*p - 68. Let h(t) = 16*t + 774. Let l be h(-48). Determine z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 14*k. Find the common denominator of 221\/30 + (2 - (k + 5)) and 74\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -290, -2\/21, 5, -2.\nAnswer: -290, -2, -2\/13, -2\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -36. Suppose -3*k - d = -37. Let 8*c**k + 13*c**4 + 4*c**2 + c**5 + 4*c - 23*c**4 - 3*c**3 = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-3)\/(-6). Suppose 68 = -m*c - 4*c. Sort c, 5, 2 in decreasing order.\nAnswer: 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, a: 1, l: 1, q: 1}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**2. Let o(w) be the second derivative of -5*w**4\/4 - 306*w. Calculate d(o(z)).\nAnswer: 2925*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1860*t**3*z**3 - 6*t**3*z**2 - 13*t**2*z**2 - 2 wrt z?\nAnswer: 11160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.499 - -0.799. What is the second smallest value in r, -2\/13, 252?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234834\/23 greater than or equal to 10209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -11 - -5) + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - -83.95. Let o = -18 + r. Let u = 66.00000043 - o. Round u to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12\/s)**(4\/5)*(s**(-2\/37))**26 assuming s is positive.\nAnswer: s**(1368\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -1\/4, -69 in descending order.\nAnswer: 2\/23, -1\/4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 859659344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 26*x = b - 8, 0 = 2*x - 10. What is the greatest common divisor of b and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000101100001011 - -1000001?\nAnswer: -10011000101011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4227*n**2. Let z(f) = 213*f**2. Determine p(z(h)).\nAnswer: -191774763*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131130320 - -211311?\nAnswer: 132002231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 57 = 39. Let v be ((-156)\/u)\/((-2)\/8). Differentiate 6 + v - 20 - 8*a**2 wrt a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0227 less than -106.6?\nAnswer: -106.5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 29, 19, -13, -73?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-1)\/(4 + -5)) - -4. Solve -5*c = -5, 0 = -2*y + 3*c - 5 + n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 445, 1669, 4079, 8077, 14065, 22445, 33619?\n\"Answer: 67*k**3 - 10*k**2 + k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46675 rounded to 2 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 88245179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + 96. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106\/10 + 18\/(-30) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1326 divide 49360204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -90, -289, -670, -1293?\n\"Answer: -10*m**3 - m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1467 + -1468. Let n = -1.04 - -0.14. Let l = n + 0.4. Which is the smallest value? (a) m (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572222.\nAnswer: 2, 7, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6918*3.\nAnswer: -23.0754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -8\/7, 0.2, 2\/23, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.2, 2\/23, -3\/5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1011110110100110 (base 2) to base 16\nAnswer: -bda6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6*r - 4. Let q be o(6). Let j = -1 - q. Solve 0 = -j*b - b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 22, 1, -0.04, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 655, 681, 707?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128237559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.39l in millilitres?\nAnswer: 268390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740 = 24*j - 2*j + 552. What is the remainder when 2643 is divided by j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6*(-4)\/16)\/(3\/38). Suppose l = 4*n - 65 - o, 2*n + 3*l = 28. Suppose -n - 28 = -j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*i**3 + 2*i**2 - 2*i?\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(242) + 1)**2 + sqrt(242) - (sqrt(242) + -1 + -4).\nAnswer: 22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 355 = 3*j - 87, 2*j = -4*v + 520. Let r = v - 39. Suppose -4*f = -4*n - 75 - 89, 2*f + 3*n = r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4463.225 litres to millilitres.\nAnswer: 4463225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.4 (c) 0.3 (d) 2.8 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1831.5 + 62.5. Which is the biggest value? (a) s (b) -5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60552*b**3 + 87163?\nAnswer: -181656*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and -0.0747?\nAnswer: -0.11952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(4\/6). Let x(l) = -l**3 - 3*l**2 + 4*l - 2. Let u be 12\/(-2) + -4 + 6. Let j be x(u). Put k, j, 1 in descending order.\nAnswer: 1, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 33*a - 65. Let d be y(-35). Solve 0 = 9*s + d + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -37?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(3*f - f - f) + (34*f + 4 - 4)*(-3*f - f + 2*f).\nAnswer: -67*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 - (-1164)\/194. Solve -5*a + p = -8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -m + 27 + 1, -5*h - 67 = -3*m. Calculate the least common multiple of m and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 21788446*a\/9 - 108942280\/9.\nAnswer: 2*(a - 10894228)*(a + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(4 + 0 + -3). Let p = h + 76. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8095 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: Product of -3 and 149.6.\nAnswer: -448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -30*p + 26*p + 5, -4*p + 28 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 2*g + 4*g - g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/13 - 68*c**4\/13 + 126*c**3\/13 + 68*c**2\/13 - 128*c\/13 = 0.\nAnswer: -1, 0, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 321\/45 - (-50)\/(-375). Is 4 a factor of v + 9 + -5 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 9*l**2 + 8*l - 2. Let n be f(-8). Let t be -1 - (2 - 3) - n. Solve 2*w - 4 = -2*w + 3*z, t*w - 2*z = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 5*g**3 - 3*g**3 + (-g**3 - 2*g**3 + 2*g**3)*(3 + 0 + 0).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1577*n - 110975 - 43291 = -2396*n - 11238 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 108, 5, 4, 2551 in decreasing order.\nAnswer: 2551, 108, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181972 divided by -938?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 22 + 114. Calculate the greatest common factor of 68 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 20 = -3*u + 2*s, 2*u + 18 = -3*s. What is the common denominator of (-2)\/u*(-1407)\/56 and -48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:34 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1002, 20, 849.\nAnswer: -4, 20, 849, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 12 = -0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (2 + -4 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 10*f - 80. Calculate the remainder when 30 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17937 and 19930.\nAnswer: 179370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + c + 1, -q + 5 = -5*c - 0. Let y be -3 - (q\/(-2) + -5). Let t be ((-4)\/3)\/(y\/(-12)). What is the highest common factor of 40 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 0*s + (-9 - 19 + 6)*(2*s - 3*s - 2*s) + 3 + 9*s - 3)*(0 - 6*s**2 + 0).\nAnswer: -456*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*sqrt(125))**2 + 0 + -5 + (2 + sqrt(405))**2 + sqrt(5) + sqrt(320)\/sqrt(4).\nAnswer: 341*sqrt(5) + 4929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 117385 and 7.91?\nAnswer: 117377.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -210001211 (base 3) to base 16\nAnswer: -3bfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a. Let v(j) be the second derivative of -5*j**3\/3 + j + 7. Determine g(v(q)).\nAnswer: 80*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1934\/(-45) - 2\/9)\/(21\/(-4515))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -1227\/8. Which is the second biggest value? (a) s (b) -1\/2 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -589, 1\/5 in descending order.\nAnswer: 1\/5, -5, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -4*z**3\/3 - 4*z**2 + 5. Factor a(n).\nAnswer: -4*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - 4) - 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -126, -16095.\nAnswer: -16095, -126, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 239658717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/45*17 - (-4)\/18. Suppose -20 = -4*i + m, -3*i + 0*i + z*m + 2 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**3 - 2013300*g**2 - 410038664*g + 205522656 = 0.\nAnswer: -204, 1\/2, 251866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k + 370 = -98 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 29. Let g(o) = -o**3 + 3*o**2 + 13*o - 2. Calculate the remainder when g(3) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.3 - 15. Let z = -1.686 - c. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11355697, -22711419, -34067141, -45422863, -56778585?\nAnswer: -68134307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1268*s**2 - 22*s - 39*s - 1267*s**2 + (3*s + 0*s - 4*s)*(-4*s + 4*s - s) + s**2 - 5*s + 5*s - s**2 + s**2 + 2*s**2.\nAnswer: 5*s**2 - 61*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/2 + 31279383*j + 978399800860689\/2 = 0 for j.\nAnswer: -31279383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h + 8*h + 14*h - 3 as f*h + u and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212 - 210. Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26951314 + 44.\nAnswer: 44.26951314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:58 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u = 43*u - 171 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 5*q, -5*q + 0*q - 4*a = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2355.8 * -0.5.\nAnswer: -1177.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*o + 35, 10*o = 5*h + 9*o - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + i - 1. Let u be 4\/(2 + -3 + -1). Let c be g(u). Let t(p) = -p**3 + 9*p**2 - p + 12. Let a be t(c). Let o(y) = 2*y. Determine o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1838*t**2 + 34*t - 349. Is p(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 952, 1424, 1894, 2362, 2828?\nAnswer: 3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1454c (base 14) to base 4\nAnswer: 30110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -920, -1380, -1840, -2300, -2760?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 42, 133, 302, 573, 970?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 441, -5, 10, 114, -2 in descending order.\nAnswer: 441, 114, 10, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 11. Suppose -3*c = 3*u - 15, 4*u + 3*c = 3 + 12. Is y(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*y. Which is smaller: 6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-278)\/(-695))\/((-91)\/520*-8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410064 = q + 2*v - 410062, -3*v + 25 = -2*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 330?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.26 - -131.9.\nAnswer: 157.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 81*v**2 + 735*v - 104. Determine w(-89).\nAnswer: -2151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6*b + b + 19 = 0, 4*x + b = 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 3?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*(-8)\/((-64)\/84).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*v + 1531 = 0, 2*u + 0*u + 5*v + 3047 = 0. Is u\/(-6) - 10\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 - 5*y + 18. Let o be b(-6). Let f(r) = o*r - 16*r + 5*r. Let a(j) be the third derivative of -j**5\/60 - j**2. Determine a(f(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -6. Suppose 2*j = j. Suppose -r - 4*x = j, 0*r - 20 = -4*r + 4*x. Calculate the smallest common multiple of g and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -773, -1062, -1351, -1640, -1929?\n\"Answer: -289*w - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + u)*(1 - 1 + 2) + (2 - 1 + 1)*(2*u - 4*u + u) + 0 - 2*u + 0 - 3*u - 3*u + 3*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9 - 2293880*p**2 + 13.\nAnswer: -2293880*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/176 and 35\/4954.\nAnswer: 435952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from qxxoiczcz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -1 + sqrt(32) + 2 + 4.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*z**3 - 1308*z**2 + 50776*z - 14400.\nAnswer: -4*(z - 25)*(z + 72)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaijiiaiajaaa. What is prob of picking 1 j and 3 a?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -35. Let t = -1 + 9. Suppose t*a - l*a = 148. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20893 and -20892 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -211*g - 1050. Give d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-266)\/95.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.2. What is the second smallest value in u, -0.1, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 96 - 486. Suppose -f = -3*l - 12. Calculate the remainder when 276 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4721282 + 5?\nAnswer: 4721287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19393*h - 18675453. Calculate f(963).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*h - 0*y - 4*y, 4*y - 20 = 0. Let j be ((-4495)\/62)\/((-1)\/h). What is the greatest common factor of 20 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-244)\/(-11) - 6\/33. Suppose l = r - 7. Differentiate 0 - 13 - l + 6*x**4 wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -2448319.\nAnswer: -2448327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 399\/102 - (-18)\/9. Let u = -47 - -50. Which is the nearest to g? (a) 0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*c**5 + 4 + 2*c**3 + (-1 - 2*c**3 + 1)*(4*c**2 + 4*c**2 - c**2).\nAnswer: -12*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 69*c. Calculate the remainder when i(1) is divided by 28 + 5 + -5 + -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 1535.\nAnswer: 18420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 73. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/1921 and -43\/493697?\nAnswer: 493697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhjhjjhhhhhhhh. Give prob of sequence jj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10, -z - h = 4*h - 243. Suppose -208 = 5*n - z. Suppose 4*a - b - 30 = -2, 20 = 2*a - 2*b. Solve 4*w + a = n*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -692*l**2. Let m(i) = -13127*i + i**2 - 5*i**2 + 13127*i. Calculate m(f(o)).\nAnswer: -1915456*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(225\/72 - 1*3)*-10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 948994039*w**3 - 972428488?\nAnswer: 2846982117*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11617814 divided by -6\nAnswer: -5808907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 - 10*b - 7. Let x be p(-8). Let q = -7 + x. What is the remainder when 4 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849092999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4871, -9746, -14621?\n\"Answer: -4875*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -11*k**5\/10 + k**2 + 1795*k. Let h(g) = -17*g. Determine h(j(c)).\nAnswer: 1122*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1532?\nAnswer: 9192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q = -1330, 2*o + 185 = q - 1149. Which is greater: o or -668?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 2, e: 3}. What is prob of picking 1 m and 1 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -46, -13 in decreasing order.\nAnswer: 3, -1, -13, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1\/60*f**6 - 16*f - 4\/105*f**7 + 0*f**3 - 43\/8*f**4 + 0*f**5 + 0 + 2*f**2. Find the second derivative of m(i) wrt i.\nAnswer: -96*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 215844a?\nAnswer: 2158446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {l: 2, u: 2, o: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -19. Let b be (-9)\/t*(-6)\/(-18). Let f = 1 + 2. What is the closest to 0.2 in b, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.4 - -36.3. Let q = d - 17. Let n = -5.1 - q. What is the second smallest value in n, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12173 and 636104.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 538 = -7*b. Let j = 760 - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77973bc + -5?\nAnswer: 77973b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c. Suppose -5*p - 64 = 2*d, 4*d - 2*d + 28 = -2*p. Let t = p - -18. Let b be k(t). What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/3 + 35707*b**4 - 3825076664*b**3\/3 + 15177904051992*b**2 - 45524787512688*b + 30348158450544 = 0. What is b?\nAnswer: 1, 2, 35706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 595*n - 600.\nAnswer: 5*(n - 120)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60041 or 60035?\nAnswer: 60041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.07 (b) -0.89 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 + 4912*y**3 - 14646*y**2 - 44048*y - 24485 = 0?\nAnswer: -1, 5, 4897\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235416*z + 235413*z - 6*g + 63, -5*z + 5*g = -45 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1700) + 1 + -3 + -1 + sqrt(1700) - ((2 + sqrt(1700) + 2 - sqrt(1700)) + -4)**2.\nAnswer: -8 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:27 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-112)\/(-21)*(-2712696)\/(-224)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 45\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -21. What is the second smallest value in s, 4, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/422 and 49\/536?\nAnswer: 113096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4708\/1605 + 1\/15. Let a(c) be the second derivative of 1\/10*c**4 + 1\/50*c**5 + 0*c**p + 25*c + 0 - 4\/5*c**2. Solve a(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2) - -1) + (2 - 2). Let h = -24 - -103. Let z = h + -80. What is the closest to 2\/13 in -0.1, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 10, 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b + 3. Let x be z(4). Let d be 0\/(-2)*-1 + (-608)\/152. Put -3, x, d in descending order.\nAnswer: x, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*x - 9, 42*x - 273*x + 639 = -16*x + n - 0*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9595118 equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**8\/336 + o**7\/21 - o**6\/4 + 45*o**4\/8 - 27*o**3 + 1196*o**2. Factor z(l).\nAnswer: -(l - 3)**4*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12226 (base 7) to base 4\nAnswer: -302011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19526, -50431, -81336, -112241, -143146?\n\"Answer: -30905*j + 11379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25444 times 4?\nAnswer: 101776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1026*l**2 + 1.\nAnswer: 1026*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 4. Let p be z(-6). Suppose -p*r = 5*q - 126, 5*r + 76 = 3*q + 6*r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 6456099.\nAnswer: 6456098.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (651\/(-42) + 16)*10. Let n(o) = -27*o**3 - 8*o**2 + 6*o. Let r(s) = -18*s**3 - 5*s**2 + 4*s. Determine h*n(q) - 8*r(q).\nAnswer: 9*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0 = -5*b + 9, -2*c - 2*b = -6. Let j = c - -1. Suppose 5*p + 3*m + j = 647, -5*p - m + 638 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0*g - 4*g + g + 43 + 0.\nAnswer: -3*g + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4799*g + 46. Let t(y) = -489499*y + 4715. Calculate 205*k(n) - 2*t(n).\nAnswer: -4797*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/35)\/((-4)\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 131479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 56. Give z(-38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61218 and 209.\nAnswer: 673398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 56*f**2 + 117*f - 51. List the prime factors of y(56).\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -15*i - 931. Let a = 135 + i. Solve 2*c - 5 = -5*t, 33 = a*t - 5*c + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 = -3*g + 634. Suppose -57 - g = -5*z. Let b be (-2)\/9 - (-40)\/z. Sort -5, b, 3\/5 in descending order.\nAnswer: 3\/5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*c + 2*g + 1, 3*c - 2*g + 11 = 0. Is c\/5 - 106\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6886884.\nAnswer: 2, 3, 37, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 + (-4 - -4) + -7 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1823833022 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k - 3. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13333 + 13333 - 633*o.\nAnswer: -633*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffqtwfsfqsffffwi. Give prob of picking 1 i, 1 q, and 2 w.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12095.5616 rounded to the nearest 10?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 14. Let x(v) = v**4 + 4. Let b(h) = 5 - 2 - 4. Let w(s) = k*b(s) + 2*x(s). Differentiate w(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19328*n**2 - 19*n - 18553*n**2 + 19*n.\nAnswer: 775*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 23. Let a be z(-5). Let c(u) = u**2 - 8 - a*u + 2*u + 11. What is c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*u - 4 + (-248 - 25*u + 248)*(-2 + 1 - 1) to the form b*u + t and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -442, -994, -1768?\n\"Answer: -111*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000278997 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/923769 and 2\/34503.\nAnswer: 48959757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**3 + 3*q**2 + q - 1. Let r be z(-1). Let t be r - (-1 + 5 + -6). Solve -2 = w - 4*b + t, -b + 5 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 103*r**2 + 203*r + 102. Calculate the least common multiple of 68 and a(-101).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78477802 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1 rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1488?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/2 - 1233*t**4\/2 - 1227*t**3\/2 + 6157*t**2\/2 - 1848*t = 0.\nAnswer: -1232, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xox when three letters picked without replacement from ooxxxxxx?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2 + 18. Suppose 0 = n - f. Suppose -i + 19 - 2 = b, 2*b = -n*i + 43. Solve 4*d + 2 = -b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 4*c**2 - 12*c - 27. What is w(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5279?\nAnswer: 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143619604524 - -3245.\nAnswer: -143619601279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160412?\nAnswer: 2, 7, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 1, p: 1, m: 3}. Give prob of sequence fmvp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1986483 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1391 + 36?\nAnswer: 13c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 14 - 5) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15822491123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*s - 2*h**2 - h*o*s + 4*h*s - 37*o*s - o - 2*s with respect to h.\nAnswer: -6*h*s - 4*h - o*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l**2 + 6*l + 6. Let z(i) = 69*i**2 + 17*i + 17. Determine 17*o(b) - 6*z(b).\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -53. Suppose 407 - 141 = x*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1837582098 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -110*t + 1780. Let n be y(16). Calculate the highest common divisor of 68 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (11 + -10 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*c - 4*c. Let d(x) = 4*x**2 + 19*x + 6. Let h be d(c). Solve 5*r + 24 = h*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j - 5. Calculate a(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3433211 + 104?\nAnswer: -3433102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1552 and -77\/1197760?\nAnswer: 116182720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 10. What is k(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14839 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.77 + -0.13. Let l = b + -4.1. What is the nearest to 1 in l, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 15) in base 14?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 less than 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 8*g**2 - 4*g - 10. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**3 - 3*k**2 + 4. Let x be v(-2). Let h be (x\/120)\/((-2)\/(-3)). Sort -2, h, 7.\nAnswer: -2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/7 (b) 0.5 (c) -11215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -151. What is the biggest value in -0.5, 3, m, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*c = 699*c + 113*c + 18173 + 3373 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**4*t + 9108857*j**2*t + 21090145*t + 1 wrt j?\nAnswer: -12*j**3*t + 18217714*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m)\/m**(-1\/4)*m\/m**(-4\/3)*m\/(m*m\/m**(-1\/4)*m)*((m\/(m*m**4))\/(m*m*(m\/((m\/(m\/m**(-6)))\/m))\/m))**49 assuming m is positive.\nAnswer: m**(-1928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106732 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a - 4. Let i be s(-5). Let y = 237 - i. Suppose -f + 565 = 5*o, -2*o - f + y = o. 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(n) be the third derivative of -7*n**4\/24 - n**3\/6 - 2*n**2. Let d = -3 + 7. Calculate the remainder when v(-1) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(296\/185).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**3 - 107*g**3 + 38*g**3.\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -654, -653, -652, -651?\n\"Answer: a - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1329*v + 8393. Determine y(6).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 16 = -12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268658?\nAnswer: 2, 13, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5\/11 - 2862*o**4 + 47270*o**3\/11 + 299148*o**2\/11 + 94448*o\/11 - 125952\/11 = 0?\nAnswer: -7872, -2, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. What is the closest to 12 in 0, -2\/15, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 10:53 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1817641 or 1?\nAnswer: 1\/1817641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 156461?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 - 29*t + 216 with respect to t.\nAnswer: -3*t**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.415? (a) 144 (b) 0.4 (c) 3 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 - (-22 - -13 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 74. Let y = 64 + p. Suppose 0*q = -2*q + y. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.00908.\nAnswer: -0.003632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Suppose 6 = -3*w, -c*v + v + 3*w + 18 = 0. Let h be 16\/24 + 26\/6. Solve -2*t = 4*b - v, t + 3*t = -5*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m = -210*m - 1859 - 5785 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 408258 (base 9) to base 6\nAnswer: 5105255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1443 - 34516316.\nAnswer: -34514873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-6)\/149964) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 2. Suppose -2*h = -0*h + 4*c - 20, -5*c = -5*h - 10. Let o(d) = 5*d**2 + 1. Calculate h*o(b) - 3*y(b).\nAnswer: -2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 111552*x**2\/5 - 44622*x + 111556\/5.\nAnswer: 2*(x - 1)**2*(x + 55778)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3441)\/(-481) + (-1*1)\/((-6)\/(-42)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 188178*u + 120126735.\nAnswer: 3*(u + 645)*(u + 62081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(18\/6) + 23 + 5. What is the greatest common divisor of y and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1510 - -1505. Let r = -319 + 319.1. Which is the nearest to r? (a) n (b) 32 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*n = -602*n + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-3))\/(((-183)\/(-306))\/61)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 455 divided by 16\nAnswer: 455\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.399569um to nanometers.\nAnswer: 399.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 1}. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4 + 6*p**3 - 9*p**2 - 4*p + 12 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124419797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 220\/7 + (-12)\/28. Let k = w + -29. Suppose -o = -k*o + 2. Solve -4 = -2*j + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 2*d - 15. Let j(b) = b**2 + b + 8. What is -4*a(f) - 7*j(f)?\nAnswer: 5*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31199.8 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(192) - (sqrt(192) - 1*sqrt(192)*3)))\/(-1*sqrt(384) + sqrt(378)\/sqrt(7)).\nAnswer: 72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2, -184*s + 179*s = -o - 37. Solve -s*d - 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56988619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 3. Let d be c(5). Suppose -q - d*q + 252 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 9*j + 34 - 35. Give v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 24. Let q be p(-8). Suppose 4*k - 2*k - q = 0. Solve 5*l - k = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4646, -3, 0.2, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = s, -3*s + 3 = -5*s + 3*w. Solve s = -2*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 + 3 - 3 + (-u + 3*u + 0*u)*(0*u + 2*u - 3*u) + (2*u**2 - u + u)*(-3 + 3 - 1) in the form x*u + f*u**2 + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2396*s**4 + s**3 - 1602?\nAnswer: -9584*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56\/12*(-1134)\/(-441)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v + 90. What is p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210 (base 3) to base 8.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8092, 16162, 24210, 32230, 40216?\n\"Answer: -s**3 - 5*s**2 + 8092*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503139431 less than 2503139430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:10 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftat. What is prob of sequence fat?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00354814 rounded to five decimal places?\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*o = -2*f - 2876, 5755 = 4*f - 5*o. Suppose -11*g + 29*g - f = 0. What is the lowest common multiple of g and 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -818441\/120 + 6820. What is the common denominator of -3\/40 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 35*m + 18 = 4*h, -2*h - 3*m = -13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b - 3 = u, 4*u - 39 = 5*b. Suppose -4*f + u = -f. Suppose -f*q = 3*q, 23 = j + 4*q. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:28 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -53.5. Which is the third biggest value? (a) h (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 9. Let v be 6\/16*(30256\/(-93))\/(-61). Solve 0 = -i*z - 8 + v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a factor of 2271241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from oqonnliqnsnssliniis?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3230719 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 8*r - 10*r. Let s = -12 + r. Suppose -5*k + 189 = s. What is the greatest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33032 (base 7) to base 4.\nAnswer: -2000333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-5 + 2)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and -77\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.28 - -0.22. Let d = 8 - g. Which is the third smallest value? (a) 5 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.0057 - 7.99. Let k = z - 7.1157. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -16. Solve 0 = -2*u - u - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by -3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 277 and 1179?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*x = 1071*x - 2155*x - 2750 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/17*f**2 - 2\/17*f**5 + 16\/17*f**3 - 14\/17*f + 0 - 12\/17*f**4 = 0. Calculate f.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 8. Let w be s(5). Let f(i) = 3*i**3 - 2*i**2 + 2*i + 4. Calculate the remainder when f(w) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxnxnnx. Give prob of sequence xnxn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.15, 0.5.\nAnswer: -3\/8, 0.15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -15. Differentiate -5 + 3*g**o - 4*g**3 + 2 - 12*g**3 with respect to g.\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - 88. Suppose 0 = 4*s - x - 45. Suppose -5*v = 4*p - s - 43, 2*v - 28 = -4*p. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*z + 2*z + 23 = 0, 4*n = 5*z - 47. What is the tens digit of (-6)\/(-3) - (0 + n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.39 times -5857.2?\nAnswer: 13998.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b**2)*(4*b + b - 3*b)*(2*b - 13*b - 7*b).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = -18, -5*i + 2*a + 35 = 0. Suppose -2*b + 7 = -c - 6*b, -i*c + 37 = -4*b. Suppose 9 = -3*o - 3*d, c = -o - 0*d + d. Round o to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 107 - (-37 - -7)\/6. Solve 109*m - p*m = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168400.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c. Let a be m(-1). Let y be (-3)\/(-26)*(-16)\/(-12). Let v = -0.003 + 0.503. Sort y, a, v.\nAnswer: a, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/369 and -113\/7206.\nAnswer: 886338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2*2)\/2)\/(430\/(-23716865)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 + 1. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.489 less than or equal to -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a + 35515 = -17114*a - 236549 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52168\/9 + (-124)\/279. Suppose -5*b + z = 16*b. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 9 - 17)*(-2*u - u + 5*u) - 16 + 16 - 21*u.\nAnswer: -103*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*i + 226*i + 4*k = 104, 4*i - k = 69. Suppose -s - 6 = s, 0 = -5*d + 5*s + 460. Calculate the remainder when d is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 4, l: 1, b: 8}. What is prob of picking 1 l and 1 b?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 10524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(133) + (sqrt(133) - -4*sqrt(133) - sqrt(133)))*4 + sqrt(133)))\/((sqrt(112) + -2*sqrt(112))*-4) + 2.\nAnswer: 2 + 21*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 3. What is i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 2624*q\/5 + 1721344\/5.\nAnswer: (q + 1312)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 3 + 0*w**2 + 19\/2*w**3 - 6*w. Let q(o) = 3*o. Determine q(r(m)).\nAnswer: 171*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 149 - 539. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2321 + 503104?\nAnswer: 500343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54)\/21)\/9 + 130\/14 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/5)\/(o\/o**(-1\/21)) assuming o is positive.\nAnswer: o**(-173\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let h(t) be the second derivative of 0 - 8*t - 15\/2*t**3 + 0*t**2. What is h(b(i))?\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 1408320.\nAnswer: 1408320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -521*k**3 - 2*k**2 - 4*k + 1. Let b = -38 + 41. Let q be b*(-1)\/(-3) + -3. Is n(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -0.72. Let a = 20.7 - 19.7. What is the nearest to 2\/5 in -0.4, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 36*h**4 + 120*h**3 - 184*h**2 + 132*h - 36.\nAnswer: 4*(h - 3)**2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 12*d + 16. Is 16 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -203?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 60 = 38*h. Let a(b) = -b**3 + 6*b**2 - 6*b + 2. Let g be a(4). Is h at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i*o**4 - 17*i*o**3 + 13*i*o**2 + i*o - 4*o**4 + 6*o wrt o?\nAnswer: 240*i*o - 102*i - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19069 is divided by 6328.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 828.8.\nAnswer: 828.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -a + 4340. Let v = -380 - a. Suppose -4*c = 2*g - 240, 0*c - v = -4*c + 3*g. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-3))\/(4\/(-36)). Suppose -2*d + 4 = 2*o - 4*o, 0 = 4*d + o - 28. Suppose d*m + 7*m = 65. Solve s = m*j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.66929t in milligrams?\nAnswer: 71669290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -1\/7, -0.091?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 22. Let r be d(-10). Suppose r*w + 1240 = 40*w. What is the greatest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -5, -5, -11, -23, -41?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 - 5)*(1 + 2 - 6)*(3*l - 6*l + l) to a + t*l and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -193 + 218 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3429?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9202*t**2*x - 37*t*x + 3*t - x wrt t?\nAnswer: 18404*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -4, 1\/6, 99, -5?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440870 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -43.3. Let n = 3.7034 - b. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914956 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 1) - (17 + -18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-10) - 6148\/(-212).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 equal to 1344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 20*y - 46. Let l be w(17). Let g(x) = 7*x**3 - 6*x**2 - 12*x + 31. Is g(l) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 26. Suppose -u = 4*d + 33. Let v(n) = n**2 - 11*n + 20. Let x be v(8). Put d, 4, x in decreasing order.\nAnswer: 4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -35\/2*g**2 + 0*g**4 + 32 + 0*g**5 + 0*g + 7\/6*g**6 + 0*g**3. Find the second derivative of k(d) wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-3 - -5) + 2. Suppose -z*f + 4064 + 2744 = 0. Let o = f - 1161. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 1398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 9*s. Give m(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovt when three letters picked without replacement from ootvvotccccvc.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/12670 and 29\/1810.\nAnswer: 12670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*p - 13 = -0*p, -2*g = -4*p - 10. Let r(k) be the first derivative of -2*k**2 - 2*k**g + 4 - 2\/3*k. Factor r(y).\nAnswer: -2*(3*y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.065309917 or -1\/4?\nAnswer: -0.065309917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -22*q**3 + 167\/12*q**4 + 0*q + 20*q**2 + 0 - 1\/6*q**5. Solve y(c) = 0.\nAnswer: 2\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6737 - -6863.96. Let o = r + -127. What is the closest to -0.2 in -4, -4\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/210 + w**6\/12 + 11*w**5\/20 + 5*w**4\/3 + 8*w**3\/3 + 8*w**2 - 4*w. Find t, given that a(t) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3. Let l(h) = 3*h**3 - 6*h**2 - 2*h + 6. Let i(r) = l(r) + 2*v(r). Let n be i(6). Let o be n\/(-45)*18\/4. Is o at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4201, 4164, 4101, 4012?\n\"Answer: -13*r**2 + 2*r + 4212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*v - 449*v - 11 = 4*i, 0 = 4*i + 8*v + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -917, 7, -4, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*l**4 - 29*f*l**3 + 99*f*l + l**4 + 2*l**2 wrt l?\nAnswer: 72*f*l - 174*f + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -2984, -6691, -11880?\nAnswer: -18551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -215, -219, -223, -227?\n\"Answer: -4*m - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5029593*a + 8873766 wrt a?\nAnswer: 5029593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 36*j - 238 + 40 = -5*m + 15*j, -55*m = -47*m - j - 40 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -98*v + 193. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116682 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31.37313us?\nAnswer: 0.03137313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*g + g + 1730 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.1 (c) 1.6 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37534950 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -2 (c) 0.2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1202300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 + 367*b - 1078. Let u(d) = -3*d. Give u(g(h)).\nAnswer: 3*h**2 - 1101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -155. Let l = 45.2 + h. Let u = -1.4 + 8.4. Which is the third biggest value? (a) u (b) l (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -7588.\nAnswer: -7588, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q - 4. Calculate the remainder when 31 + (2 - (-4 + (-156)\/(-12))) is divided by y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let v(n) be the third derivative of -n**5\/30 + 587*n**3\/3 + 27*n**2 + 3. Give v(l(i)).\nAnswer: -2*i**2 + 1174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029446 divided by -11?\nAnswer: 93586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2120 and 6.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z + 15 = 0. Let w = 8 + z. Suppose -4*d = -w*q + 19, -2 + 18 = 3*q - d. Which is the biggest value? (a) q (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 23763*i\/5.\nAnswer: i*(i + 23763)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0*n + 1\/2*n**2 - 49\/2 = 0?\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 3 (c) 47 (d) 0.3 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 6*n**2 - n**2 + 10*n - 9*n**3 = 0 for n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 155*a - 57. What is m(-38)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/30 + 44*d**2 + 8. Let c(m) = 192*m. Determine c(w(a)).\nAnswer: 384*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**7\/189 + k**6\/135 + k**5\/30 - k**4\/54 - 2*k**3\/27 - k. Determine h so that s(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4\/4 + 2127*m**3\/2 + 191841*m**2\/4 - 1006509*m\/2 + 806148 = 0?\nAnswer: -1371, -56, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*u = -2, 0 = 6*c - 4*c - 2*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 23*j + 21. Let s be z(-23). Suppose 0 = -7*l + 14*l - s. Solve -6 = -l*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14451 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 184154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-2*-3) + sqrt(171))\/(sqrt(1296) + (sqrt(1296) - (sqrt(1296)*-1 + sqrt(1296)))) + -3.\nAnswer: -3 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83940.9 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/(-1232))\/((-2)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1561047692072 and -4.\nAnswer: -1561047692076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*a**2 + 54*a**4 - 3*a**2 - 25*a**4 - 65*a**4 wrt a?\nAnswer: -864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = 0, 4*i + d + 12 = -27. Let h = 11 + i. Find the third derivative of -4*f**4 + 54*f**2 - 19*f**2 - 22*f**h wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*-36*24\/(-8064)*-120.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 2*k**2 - 2*k**2)*(161*k - 141*k - 270*k) to z*k + m*k**3 + l*k**2 + v and give m.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*(0 + sqrt(700)))**2)*3.\nAnswer: 18894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -95524 divided by -2\nAnswer: 47762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 39*t - 307. Give x(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x - 36 = 52*x. Let f(p) = 20*p - 2*p - 11*p + 6 - x*p. Let w(o) be the third derivative of -5*o**4\/24 + 17*o**3\/6 + 2*o**2. Give 8*f(l) - 3*w(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*r = 764*r - 350. Which is the biggest value? (a) r (b) -0.2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 332*t**2 + 7*t + 7. Let n be -4 - ((-33)\/22)\/(1\/2). What is the tens digit of w(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 812*h - 7 + 3 - 821*h + h**2. What is a(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 237\/(-819) - (-4)\/14. Let r = l - 811\/2184. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 144. Suppose -5*f + 4 = -3*f. What is the third smallest value in 1, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziizzzzizzzz. What is prob of picking 1 i and 3 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -3 (c) -87.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*g - 28 = -2*g, -5*g - 56 = -2*y. Let i = 0 - 0. Suppose i = -5*h + 9 + 1. Solve -2*q - h = -2*f, 4*f - 4*q = 3*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 + 133*z**3 - 134*z**2 = 0.\nAnswer: -134, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100101002220102 (base 3) to base 13\nAnswer: -10557a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*q + 0*q + 3*q + (-q + 2*q + 0*q)*(-1 + 0 + 5) in the form o + c*q and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.36 + 2.1. Let o = -0.35 - j. Let l(y) = y**3 - 23*y**2 - 24*y + 1. Let c be l(24). What is the smallest value in -1\/4, o, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 13 = 1. Let m be 3\/(-14) - 2\/(-4). Solve 0*y + 0 - m*y**3 - 10\/7*y**5 + 16\/7*y**4 - 4\/7*y**w = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4*o**2 - o - 7. Let z be n(-6). Let a = -512\/7 - z. Let f = 0.28 - 0.38. What is the nearest to f in 5, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0\/j*j)\/(j\/(((j**(-1\/32)*j)\/j)\/j*j))*j**24\/(j*(j\/j**28)\/j*j*j))**(-4\/5) assuming j is positive.\nAnswer: j**(-1567\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002 (base 4) to base 7.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - 4*a**2 + 9*a - 7. Let n(m) = 5*m**3 + 4*m**2 - 9*m + 7. Let z(b) = 3*n(b) + 4*o(b). Let q be z(-6). Solve -3*g = -2 + q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5806*y - 2967*y - 2987*y)*(-1 - 1 + 0).\nAnswer: 296*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3288, -6116, -8944, -11772, -14600?\nAnswer: -17428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*t = -15, -t = 2*j - 0*t - 4. Let c be 1\/j - (-44)\/(-60). What is the closest to -0.1 in c, 2, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) - 4\/(-22). Solve n*u - 4*u = -j + 23, -j = 5*u + 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57363 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * -15251.99\nAnswer: 35079.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.167 and 602.\nAnswer: 100.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrserx. Give prob of sequence se.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-8)*(884\/4641)\/(48\/(-36))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - (0 + (sqrt(1088) - (1 + sqrt(1088)))) - (2*sqrt(1088) - sqrt(1088))*5.\nAnswer: -32*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-40)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let k be 3 - ((-98)\/(-84) - (-4)\/(-6)). What is the nearest to -14 in o, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 15. Let p be (6\/(-8))\/(12\/(-64)). Suppose -p*a = z + 3*z - 556, -a + s*z = -169. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - 1\/2. Let t = 1 - -3. Let c = 5 + -5.2. Put j, t, c in descending order.\nAnswer: t, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*d - 242, 130 = -a + 3*a - 4*d. Suppose -5*j + 86 = -a. Let o = -286 + 605. Calculate the greatest common divisor of o and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-406)\/(-28))\/(-29))\/((-2)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q - 2010. Is 4\/(-22) + q\/33 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297472 + 108495 = 15388*b + 7227*b + 3436377 for b.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/(y*y\/(y*y**(-2\/13))*y)*y*y)**(1\/80))**(-2\/39) assuming y is positive.\nAnswer: y**(-5\/2028)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23002, -46157, -69312, -92467, -115622, -138777?\nAnswer: -161932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxc when four letters picked without replacement from ccxxxcxxxxxccxcc?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4730 and 44?\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-507)\/(-57) + (-14)\/(-133). Suppose -4*j + u*j - q = 3273, j - 639 = -5*q. Suppose 12*y - j = 9*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -0.4 (c) -0.83 (d) 1\/5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 + 5*b - 1. Let q be n(4). What is the derivative of 12*m**2 - 14*m**2 + q - 1 wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -6) + (1 + 3 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 4 = 0. Let f = 5 - 0. Let u(t) = t**2 - 3*t + 4. Let c be u(-4). Solve x*d = -f*v - c, -d - d = -2*v - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 46 - (-83 - (1 + -58))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 5664?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*m**3*p**2*v**3 + 44775*m**3*p*v**3 - m**2*p**2*v**2 - m**2*p**2 - 2*m**2 + 425*m*p**2*v**3 + 35*m*v**3 - m wrt m.\nAnswer: 162*p**2*v**3 + 268650*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1148 and 1047548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 5. Calculate l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 610 by -10.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*b - 7, -5*o - 33*b = -38*b + 50. Put -4, -1, o, -3 in ascending order.\nAnswer: o, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:58 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*w = -2*g - 16, -3*w + 15 = 5*g. Suppose 3*z = -g + 3. Let d be (-4)\/((-2)\/z) - -5. Solve 5*c + 2*b = d*b - 6, -12 = 3*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231354074 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 6*p + 11. Let a = 1527 - 1522. Let n(q) = -3*q - 5. What is a*n(c) + 2*r(c)?\nAnswer: -2*c**2 - 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 4*t, -z - 2*t - 4 = -4*z. Suppose -8*l = -3*l - 125. Suppose z*r + 3*r = l. Solve -28 = -r*o - m, -3*o + 3*m - 24 = -6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 15640759.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1730 + -16607\/9. Let j = -347\/3 - l. Let g = 0.016 + 20.984. Which is the third smallest value? (a) j (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -83, 1, -17 in decreasing order.\nAnswer: 1, -4, -17, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a + 0*a + a - 2 + 2 - 2*a + 6*a - 3*a + (2 - 2 + 1)*(2 + a - 2) + 16 - 16 - 10*a - 2*a + 3*a + 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-10 + -2 + 1 + 0 + -287 + 208)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwu when three letters picked without replacement from ipwhuhpq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(2592) - sqrt(2592))\/(-6*(sqrt(294) + sqrt(294)*-4)) + -1 + 2)**2.\nAnswer: 20*sqrt(3)\/21 + 247\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 0, 2*u = -4*y + 41504 - 7388. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15502, -16329, -17156, -17983, -18810, -19637?\nAnswer: -20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185500588.\nAnswer: 2, 7, 13, 29, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-27)\/9)\/(((-29)\/5)\/(17\/(-255)))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 39\/5. Let l = -3 + 3.4. Which is the nearest to 0? (a) x (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -94, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296 = -18*g + 6*g. Is 58 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-7)\/((-42)\/10)). Let s(i) = i**2 - 4*i - 2. Let v be s(4). Let h = -7 + 10. Sort h, o, v in descending order.\nAnswer: h, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76453 at least as big as 76437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let t(d) = -5*d**2 - d + 1. Let g(a) = 6*j(a) + t(a). What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 24*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/59 - 169\/236. Let d be (-7)\/(-4) + (-3)\/4. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)*35\/532. Let g = x + -82\/95. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(76))\/sqrt(4).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11115 and 322335?\nAnswer: 322335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 3:17 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 4, a: 2, o: 1, f: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-320)\/(-25))\/(7\/70). Let x be (1\/4)\/(16\/i). Solve -3*z = -9, -x*z - 21 = -3*l - 6*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:38 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 746002951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*v**2 + 8009976*v - 8009976*v.\nAnswer: 1215*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -57. Suppose 0 = -o - 2*x + q, -2*o + 4*x + 78 = -58. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80559 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 = v, -v + 4*v - 3*b = -21. What is the closest to v in 0, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqjjrjjw. What is prob of sequence qr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2494732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37459 + -38831. Is -9601\/7 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Suppose -k*z = z. Suppose -f - 2*f + 72 = z. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158643 is divided by 601?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 4*z - 0, 4*j - 5*z - 14 = 0. Solve 20*l = 21*l - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/60 and 83\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 123\/63 + 2\/(-7). Let a be (-2 - (-4 - -1))*5. What is the second biggest value in 1, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 5. Let s be (-4)\/(-16) + (-14)\/(-8). Suppose -z*g = f - 10, g = -s*f - 2*g + 55. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w**3 - 3*w**3 + 5*w**3)*(-26 + 69 + 30) - w**3 - w**3 - 7*w**3)*(-6*w + 2*w - 2*w).\nAnswer: -384*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/6996*-4*3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u - 4, -13*m + 9 = -12*m - 3*u. Solve -m*n + 13 = -2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551921917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/35 + (-48)\/(-28). Solve r = 3*u + 2*d, -6 = 4*u + u + d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 7. Let u be v(9). Let z = u - 0. Factor -3*x**2 - 4*x**3 - 3*x - 3*x**z + 5*x**3 - 4*x**3.\nAnswer: -3*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + -19 + (206 - 93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 146869, 146867, 146865, 146863, 146861?\n\"Answer: -2*d + 146871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(-2)\/q))\/q)\/q*q**(-4)\/q)**(-1\/2) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-54)\/252*(-70)\/120.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 + 109. Let i = l + 188.0828. What is i rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 1*sqrt(2) + sqrt(2)) + -1*((sqrt(2)*-1)**2 + 2).\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1529, 1527, 1525, 1523?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 29 = 5*d, 8*a = 7*a - 2*d + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119017908383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -5. Suppose -16 = -q - s. Let k(b) = b**2 + 0*b**2 - 5*b**3 + 3*b**3 - 3*b - 2*b**2. Let d(o) = -5*o**3 - 2*o**2 - 8*o. Calculate q*d(y) - 8*k(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 - 303.2. Let t = 15.2 + c. Sort t, 0.34, -2.\nAnswer: -2, t, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19685288 a multiple of 1099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60868 rounded to 3 decimal places?\nAnswer: 0.609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 44*n**2 - 40*n - 288.\nAnswer: -4*(n - 9)*(n - 4)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p - 2*h, -3*p + 8*p + 5*h = 15. Let s = -3 - -4. Let q = -67 - -71. Which is the nearest to 0.7? (a) p (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 14*n**2 - n - 1. Let t(y) = -5*y**3 - 58*y**2 + 3*y + 1485. Give -4*f(s) - t(s).\nAnswer: s**3 + 2*s**2 + s - 1481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354 + 7*h**3 - 2*h**2 - 1036 + 342 + 344 + 2*h to g*h + m + b*h**3 + w*h**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -174. Suppose -5*m - 55 - d = 0. Let h = 31 + m. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/12 - c**4\/12 + c**3\/2 + 224*c**2. Let t(o) = -2*o**2 + o - 1. Determine -3*i(k) - 7*t(k).\nAnswer: -k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 95*z + 162. What is n(30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 23*p**2 - 71*p**2 - 24*p**2.\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/4 - d**3\/3 - d**2 - 9*d. Suppose -5*l - 13 + 60 = 4*m, 4*l - 52 = -5*m. Let i be 20\/m*(-4)\/(-5). What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 8*w = 16. Let k = 4.4 - 4. Which is the third smallest value? (a) k (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*l - 28, -3*n - 4*l - 24 = -7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(4\/3))\/(y**6\/y*y\/(y**5\/y)*y)*((y**(-2)*y)\/y**2)\/(y**(-1\/2))**14 assuming y is positive.\nAnswer: y**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = -8. Let a(l) = 7*l + 144. Let k be a(-21). Put k, v, 6 in increasing order.\nAnswer: k, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3ce07 - 2?\nAnswer: -c3ce09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/36)\/(2\/(-30))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**3 + 3*p + 2. Let n(v) = v**3 + 5*v**2 - 6*v - 1. Let z be n(-6). Is h(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) - 0\/1. Suppose 0 = -5*d - 4*k + 22, -4 - 9 = -2*d - 3*k. Let m be (-33)\/24 + d + -1. What is the third biggest value in n, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*o - 55 = 0, z - 58 = -3*z + 5*o. Let w(t) = -z + 2 + 3 - 19 - 7*t. What is the remainder when 73 is divided by w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3083*d**4 + 42*d**3*n**3 - 3*d**2*n**3 + 2*d*n**3 + 17*d*n + 765*n**3 + n**2 wrt d.\nAnswer: 73992*d + 252*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 199, 318, 451, 604?\n\"Answer: i**3 - 2*i**2 + 110*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10064 and 7208.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15) + ((-5)\/12 - 0). Let h(y) be the first derivative of f*y**4 - 2 + 0*y - 1\/3*y**3 + 1\/2*y**2. Determine h(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, -0.3, 10\/7, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71552 and 3328.\nAnswer: 143104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 175. Let r = -32 + m. Let x = r + -27. What is the closest to 0.1 in 0, x, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 = -102*s - 8*s - 60 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 2*n. Suppose r - 3*l - 8 = -l, -4*r - 2*l = -2. What is w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzeydnh. Give prob of sequence dzh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgggxgvaagvx. Give prob of sequence vgg.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638383 = 365*z - 142*z - 611623 for z.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 8*l - 115)*(2*l - 5*l + 7*l) + (-2*l - 9 + 9)*(-2 + 2 - 2*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9386714*o**2 - 3252753*o.\nAnswer: -18773428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 81*p - 1529. Let f(b) = -b**2 - 8*b - 4. What is the smallest common multiple of o(19) and f(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(4\/(-57)))\/(69*17\/782)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188547 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*p + 87 - 118 = -2443. What is the smallest common multiple of 135 and p?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6)*2*-33. Let f = -7 + w. Let z = f - 4. Solve -2 = 2*t - z*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 1444154760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 102*h + 90. Give b(-34).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f. Let i(m) be the second derivative of 2*m**3 - 5*m**2\/2 - 3*m - 9. Let l(t) = 154*t - 66. Let u(g) = 66*i(g) - 5*l(g). What is u(c(b))?\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.1 - -3.1. Let h = l + 13. What is the fourth smallest value in 2\/7, h, 0.2, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 234853?\nAnswer: 234848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-494)\/(-351) - -16.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 13. Is g <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 3*j + 5*b, j - 3*b - 5 = 0. Solve -j = 2*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {s: 2, w: 8, m: 3, t: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 64. What is the tens digit of (-90)\/(-1) + (16 - y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = -k, -51*k + 25 = -5*n - 49*k. Let u = -304 - -1829\/6. What is the third smallest value in u, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.964 rounded to 1 decimal place?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s**2 + 23*s**2 + s**3 + 11*s**2 in the form y*s**3 + g + d*s + l*s**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-890)\/28 - (-2)\/7. Let k = 30 + r. Let j = 4.6 - 5. Which is the second biggest value? (a) j (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 4*j**2 + 5*j. Let n(z) = z**3 + 4*z**2 - 4*z. Let q be n(-5). Let p be v(q). Solve -3*o + p*o = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 39*b + 252. Let p be q(34). Suppose -p*u = -92*u + 280. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and 93\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9471 - -9476. Sort f, -2, -16, 10, 4 in ascending order.\nAnswer: -16, -2, 4, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 41*f + 844. What is the smallest common multiple of 140 and m(-20)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -11*w**6\/15 - w**5\/60 - 35*w**3\/3 + 126*w**2. Find the third derivative of y(q) wrt q.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8087, -8063, -8017, -7943, -7835, -7687, -7493, -7247?\nAnswer: -6943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*g - 272*g = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*j + 1, -5*j = -8*m - 204 + 218. Sort m, 0, -2, 6, 4 in ascending order.\nAnswer: -2, 0, m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 42?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15913501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2 + 130496*f + 130492 = 0?\nAnswer: -32623, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a**3*r**2 + 3*a*r**2 - 326*r**2 with respect to a.\nAnswer: 45*a**2*r**2 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246805 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = 38*r - 7*r + 90 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 7*c**2 - 8*c - 4. What is the remainder when 14 is divided by o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 13*i**2 - 6*i + 8. Let b be c(6). Let k = b + -117. What are the prime factors of k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*f - 6*f - 5*f)*(2 - 1 + 1).\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274962.\nAnswer: 2, 3, 45827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (152\/95)\/(4\/10). Factor k**u - 6*k + 8 + 15 + 13 - 41 + 6*k**3 + 4*k**2.\nAnswer: (k - 1)*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193737603*f**2 + 133869348*f wrt f?\nAnswer: 387475206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3641, -14598, -32851, -58394, -91221, -131326?\n\"Answer: h**3 - 3654*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 231216 divided by 4817\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5235.327 years?\nAnswer: 5.235327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + 8 + 1 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5646 is divided by 345.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 143?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (6 + 1)*3\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 944*f**2 - 56628*f - 109512.\nAnswer: -4*(f + 2)*(f + 117)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-9)\/45*4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)*l**(2\/5)*l**(-1\/2)\/(l\/(l\/(l\/(l**(2\/11)*l)))) assuming l is positive.\nAnswer: l**(373\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19649.6515 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447.92151118554 + 0.\nAnswer: -447.92151118554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 32*p - 18. Find the second derivative of -5*u + u - 104 + 265 - 8*u**3 + 5*u - 125 + 15*u**p wrt u.\nAnswer: -48*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 351, 346, 341, 336, 331?\n\"Answer: -5*d + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 469 and 67.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58763642 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19646\/10 + -9 + (-235)\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/6 - 16*f**5\/15 - 2*f**4 + 8*f**2\/3 + 12. Factor n(i).\nAnswer: -i*(i + 2)**3*(3*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/(-36))\/(15\/720)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2, 19, 4, 1 in decreasing order.\nAnswer: 19, 4, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -13, -7?\n\"Answer: 6*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 2*j + 2*j)*(2*j + 2 + 1 + 3).\nAnswer: -6*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:30 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 282aa2 - 3?\nAnswer: 282a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(6\/(-4) + 2). Let o = -46 + 51. Solve 3*h + 12 = -4*u, o*u = a*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17) + -1 + -3)*-2)**2 + -5.\nAnswer: 127 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let u be (w\/(-10))\/(2\/(-10)). Differentiate -y**u + 0 - 2 + 0*y**2 with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (0 - (-10 - -6)) + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = -32 - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/42)\/4 - (-2)\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176932712 and 27412.\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 58246 + 174909 - 58329 - 58334.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353614047.\nAnswer: 4373, 309539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1177*n + 1171*n + 179334. What are the prime factors of n?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441321 (base 7) in base 9?\nAnswer: 326421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(10 - 8)*(-2)\/8. Let l = 37 - 28. Let o be ((-18)\/(-4) + -2)*2. Solve o*b = y - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -2, -6, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*k - 7, -k + 4*p = 10 - 1. Let o(a) be the third derivative of 7\/24*a**4 + 0*a + 0 - 3*a**2 + 1\/60*a**5 + a**3. Calculate o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 - -221. Let s = v + -67.000068. What is s rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 39*k + 0 + 37*k - 68*k to the form a*k + w and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvkvvak. Give prob of sequence kavv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -44. Let x(o) = -20 - 9*o - 13 - 18 + 42 - u*o**2 - 8*o**3. Let l be x(-3). Calculate the greatest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - 15*x**2 + 8*x + 9*x**2 + x**2 + 220. Let u(f) = -f**2 - 5*f - 109. Let s(i) = -2*c(i) - 5*u(i). Find the first derivative of s(z) wrt z.\nAnswer: 2*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 62*w - 1548. What is h(22)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2212 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(119)\/sqrt(7)*2 - (sqrt(119)*-2)\/sqrt(7) - (-2 + (0 + -1 + sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) - sqrt(153)))) + -1)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31160896 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2241\/(-135)*(-57 + -3) and 54.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 665267, 2661073, 5987415, 10644293?\n\"Answer: 665268*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/20 + 0)\/((-1)\/20). Let c = r - -51. Suppose -c*d - 7*g - 1 = -9*g, g = -2*d + 4. Solve -d - 19 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 24*p**2 + 30*p - 16. Let s be u(-23). Let y = 198 + s. Let f = 2 + 1. Solve -5*k + q - 5*q = y, q = f*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)\/z*z\/(z\/z**(-2)*z) assuming z is positive.\nAnswer: z**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/3 - ((-2)\/3 - -2). Suppose l*i = 377 - 65. Calculate the smallest common multiple of 27 and i.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((65 + -80)\/(0 - 2))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 16*q + 8. Suppose q*u + n - 21 = 0, 14 - 46 = -3*u - 4*n. What is the highest common factor of u and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + v = 1, -6*l + 4*v - 4 = -9*l. Suppose 94*q - 85*q = l. Determine n so that 24\/5*n + 3\/5*n**2 + q = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.9999961 + -15. What is k rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 118*l**2 - 4*l - 5. Let d be y(-2). Let b = d + -307. Calculate the highest common divisor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1268 by 1.\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68459 is divided by 9778?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 1190.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65802303 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i - 114. Let d be j(-6). Suppose 0 = 34*f + 2*f - 144. Solve d*c + 2*c + f = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*(-4 + 3))\/((-2)\/82) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888845500 to the power of 1\/2, to the nearest integer?\nAnswer: 29814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 8*j + 11. Suppose 0*p + 34 = 5*p + l, -10 = -5*p + 5*l. Let q(u) = u**2 + 9*u - 11. Let h(t) = p*q(t) + 5*w(t). Is h(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*d**4 + d**2 - 122*d**4 - d**2)*(5*d - 2*d - 2*d).\nAnswer: -176*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 948469 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -422, -36, 26 in increasing order.\nAnswer: -422, -36, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 1 n when three letters picked without replacement from {a: 1, o: 2, f: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 4*m + 28 = 0, -2*m + 18 = 3*c. Suppose 24 = -3*g + g. Let u = 15 + g. Solve -u*n + t - c*t + 18 = 0, -20 = -4*n - 2*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 5*v**3 + 37 - v**4 + 7 - v**4 - 2*v**2 to the form f*v**4 + p*v**2 + r*v + k*v**3 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s - 3. Let y = 1000 - 996. Calculate w(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20546? (a) 1\/4 (b) -4\/5 (c) 2\/9 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3619 + -14481\/4. Which is the fifth smallest value? (a) -14\/5 (b) 0.1 (c) 1 (d) -0.5 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21298 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1492 and -121\/12.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -10. Let h be 2\/(-8) + (-9)\/(-4). What is the units digit of (h - -2)*1\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 149.\nAnswer: -8\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y + 106. Calculate l(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - h + 5)*((h + h - 3*h)*(2*h - 3*h - 6*h) - h**2 + 5*h**2 + 3*h**2).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110021202 (base 3) in base 7?\nAnswer: 4521614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15203580 divided by -5.\nAnswer: -3040716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**2 - 34*p - 3. Let z(a) = -32*a**2 - 101*a - 8. Let f(c) = 8*l(c) - 3*z(c). Find the second derivative of f(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 58?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-229)\/(-3) - 1\/3. Let r = 84 - g. Suppose 2*y = r*y + a - 3, 0 = 2*y - 3*a + 9. Solve 2*f + f + 3 = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1468 - -360. Let b = -662 - r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/8622 and 79\/16.\nAnswer: 68976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 50*x + 32*x - 131. Which is greater: x or -379?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2240 + -2149. Calculate the smallest common multiple of d and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) 140725 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*x + 8*o, 5*x + 0*o - 112 + 212 = 12*o + 105 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71985.\nAnswer: 3, 5, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-72) - 15872\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -d - 84, -112 = -4*b + 4*d + d. Find the common denominator of b and 79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103 and -13.2138.\nAnswer: 1361.0214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c + c**3 + 38*c + 5*c**3 + 16*c**2.\nAnswer: 6*c**3 + 16*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b + 7. Let x be q(5). Suppose -5*d - 123 = -3*v, -x*v - 3*v - 3*d = -239. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 8*r**3 + 7*r**2\/2 - 27*r. Let g be y(17). What is the hundreds digit of (-3)\/5 - (-1 - g\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.236348 rounded to three dps?\nAnswer: 4.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2224.2 - 115.36.\nAnswer: -2339.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -1.7. Which is the second smallest value? (a) 0 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 5*z**2 + 4*z**2 + z**5 - z - 1)*(-83 - 31 + 67).\nAnswer: -47*z**5 + 47*z**2 + 94*z + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -631980 divided by 35110?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + 6 - (2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 10*g + 68.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54341 + -21534. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -2317198400166\nAnswer: 2317198400131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -30349.\nAnswer: 4\/30349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49842112 divided by -15122?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60220772.\nAnswer: 2, 191, 78823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 27. Let m be (-150)\/u*24\/10. Let c be 2\/(-3) + m\/69. Are -1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7253663, 7253656, 7253645, 7253630?\n\"Answer: -2*q**2 - q + 7253666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1, 2*a + 1 = -2*z + 7*z. Let t = 5 - a. Suppose 2*n - n - t = 0. Sort 1, 2, n in descending order.\nAnswer: n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3368 and 30434932.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 - 4. Let s(m) = -m**3 + 8*m**2 - 8*m + 5. Let v be s(7). Let r be i(v). Let w = r - -51. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.1? (a) -2\/13 (b) -2\/9 (c) 16 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let j(r) = 4*r + 1. What is -j(b) + 2*p(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-3*n + 3*n - 2*n) - 19*n - 111*n - 74*n + 72*n - 98*n + (2*n - 2*n + n)*(3 + 1 - 2) - 4*n - n + 6*n + 0*n - 4*n + 0*n.\nAnswer: -229*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - f**3 + 6*f**3 - 3*f**3 + 4*f**3 as a*f**2 + z*f + l*f**3 + o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*o + 1459, -5*w = 4*o - w - 1424. Let h = -234 + o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*o = -6, -2*r - r = o - 10. Suppose r*w = 5*w - 226. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*d*p**5 + 11078*d*p + 16*p**5 wrt p.\nAnswer: -1020*d*p**3 + 320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 13 - 2 - -8 - 1) + 45 - -11?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 2. Let m be d(-4). Let f = m + 27. Suppose 0 = 5*v + 4*x - 42, v + 0*v + 5*x = 0. Is v greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16790 and -455.5577.\nAnswer: 16334.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t**2 + 0*t**3 - 6*t + 10 - 8\/5*t**5 + 0*t**4. Find the first derivative of j(x) wrt x.\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 - 357 + 147*o + 190 + o**2 + (0 - 2*o + 0)*(4*o - 3*o + o) to the form k*o**2 + v*o + p and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243 - k + 4*k**3 - 5*k**3 + 241 + 2*k**4 - k**2 - k to o*k**4 + j + l*k**3 + d*k + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2252 = -9*j - 533. Calculate the remainder when j is divided by 102.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91406 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k - 6. Let r(a) be the third derivative of 7*a**4\/24 + a**3\/2 + 6*a**2. Determine 6*n(m) + 13*r(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -113*q - 24*q + 85 + 4*q. Let f(o) = -133*o + 86. Let h(l) = 3*c(l) - 2*f(l). Find the first derivative of h(b) wrt b.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.69 - -3.49. What is the smallest value in -2\/7, y, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000280239 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 3 + (-2)\/1. Suppose 68 = h*y + 3. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -605, -1381, -2481, -3911, -5677, -7785, -10241?\nAnswer: -13051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/2 + 13 + -13. Solve b = 3*r + 12*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (-1 + -2 + sqrt(108) + sqrt(108))**2 - (sqrt(6)\/sqrt(2)*-1 - (sqrt(33)\/sqrt(99) + sqrt(3))).\nAnswer: -191*sqrt(3)\/3 + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 2. Let u be w(1). Let v(l) = -25*l + 13*l + 5*l - 7*l**3 + u*l - 3. Let p(q) = 13*q**3 + 5*q + 5. Let b = 5 - 2. Determine b*p(r) + 5*v(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (18\/15*-1)\/((-6)\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - 13*j**4\/12 + 10*j**3\/3 + 12*j**2 - 456*j - 3. Determine o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 + g + 3. Let f = 11 + -14. Let d be t(f). What is the greatest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -157998, 562, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/1 + ((-1824)\/(-8))\/19 and 584.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 718874 and 1846?\nAnswer: 51040054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:34 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (625\/(-330))\/5 + (-23)\/138.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b4 (base 13) in base 6?\nAnswer: -102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d. Let w be t(3). Suppose -4*s = -4*n + w, 0*n + 4*s - 60 = -5*n. What is the least common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 21*f + 59. Suppose t + h + 21 = 0, -t = 3*h - 53 + 68. Calculate r(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.327 and 0.02.\nAnswer: 0.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -57, -136, -249, -396, -577, -792?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 213249328 to the power of 1\/2, to the nearest integer?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 29 and 1.14128974.\nAnswer: 30.14128974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o + 2. Let t be s(1). Let v = 1.3 - 1.5. Which is the nearest to 2? (a) 2 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 + -129. Suppose 0 = i*p + 21 + 24. Put p, 0.1, -4 in descending order.\nAnswer: 0.1, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + 24\/(-63). Let g = -133 - -134. What is the nearest to -2\/3 in g, 5\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7916, 7940, 7964, 7988, 8012, 8036?\n\"Answer: 24*d + 7892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 41 + 70)*((-6 - 5 + 2)*(-y + y + y) - 4*y + 3*y + 3*y) as l + u*y and give u.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 2*l**2 - l**3 + l + 3*l**4 - l**2 to u + f*l**3 + k*l**4 + o*l + m*l**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 8 - 2\/45*p**5 + 7\/9*p**2 - 4\/9*p + 5\/18*p**4 - 2\/3*p**3. Determine u so that v(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*s**4 + 176*s**3 + 1724*s**2 - 176*s - 1664 = 0. Calculate s.\nAnswer: -4, -1, 1, 104\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1019, 4078, 9179, 16322, 25507, 36734?\n\"Answer: 1021*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:37 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(8\/(-33)) - (-6)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024b (base 12) in base 13?\nAnswer: -979a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -1\/6*u**3 + 1\/2*u**2 + 0 - u. Let v(f) = 5*f - 5. Let d(k) = 1. Let m(t) = -2*d(t) - v(t). What is m(l) - 4*r(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 104*c\/3 + 35.\nAnswer: -(c - 1)*(c + 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**6 - 51*x**5 - 47*x**3 - 5*x**2 + 265*x + 26 wrt x.\nAnswer: -1440*x**3 - 3060*x**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -11. Let o = 1902 - 1880. What is the lowest common multiple of r and o?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2518 = 6046. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.1. Let l(f) = f**2 + 3*f - 7. Let k be l(-5). Put k, z, 4, -3 in decreasing order.\nAnswer: 4, k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -978\/7 - -140. Let k = 3 + -6. What is the nearest to l in -1\/5, -1, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 2. Suppose i = 4*i + 2*i. Let f be i - 1\/(-2) - 5\/(-2). Solve f*k + 13 = n*p - 3*p, 3 = -3*p + 3*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1 + (sqrt(475) - (-1 + sqrt(475) + 0)) + (sqrt(475) + -1)*-3 + 2 + 3)*2)**2.\nAnswer: -360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0.2, 3\/5, -31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times -0.3?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-24)\/252)\/((-4)\/8*-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - n + 4)*(2*n**3 - 2*n + 2*n) - 25*n**2 + 25*n**2 - 11*n**4.\nAnswer: -13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -17\/21073981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 4*l = -4*i + 27, 3*l = 4*i + 3. Let u = -7.3 - -7. Let h = u - 0.1. What is the nearest to 1 in 0.01, i, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 1\/8*m**4 + m**2 - 1\/60*m**5 + 0 + 0*m + m**3. What is p(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10110.6004 + -10111.10040039. Let y = -0.5 - r. Round y to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -605\/4. What is the second smallest value in 2\/7, c, 23\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1523 (b) 0.4 (c) -172 (d) 1\/4 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)*h)\/h*h**(-10))**(-48)\/(h**(-7)*h*h*h**3*h*h)**(-11) assuming h is positive.\nAnswer: h**(1408\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b - 8*b - 76 - 286 + 32 to a*b + i and give i.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -4*c**5\/5 - c**4 + 8*c**3\/3 + 3168. Factor y(q).\nAnswer: -4*q**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from zfzibizfzzzi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377257 is divided by 272.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+1159.550621239\nAnswer: 1159.750621239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5036 (base 10) to base 13.\nAnswer: -23a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 424*i**2 - 293800*i + 111141376\/3 = 0 for i.\nAnswer: -1088, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 2*t - 1. Let x be g(2). Suppose 0*y + x = 4*y - m, -2*m - 8 = -y. What is the remainder when 5 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*c - 80, 9*h - 4*c - 48 = 90 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7)*(-1092)\/(-936))\/(1\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33118, -40734, -48350, -55966, -63582, -71198?\n\"Answer: -7616*n - 25502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -9.12. Let o = p - -9.5. What is the nearest to 0.4 in o, -1\/4, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x**3 - 6*x**3 + 17*x**3)*(6 + 3 + 0) in the form q + n*x + a*x**3 + s*x**2 and give a.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7565 and 4840.\nAnswer: 36614600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8567, 8571, 8575, 8579, 8583, 8587?\n\"Answer: 4*m + 8563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-5*-1 + -2. What is q in 0*q**4 + q**4 + 2*q**3 - q**g + 0*q**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and 10106.\nAnswer: 3436.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3 + 6 - b**3 + 37*b - 30*b - 6*b**2. Let p be t(-7). Solve -2*n - 3*n + 5*l + 5 = 0, 0 = 4*n - p*l - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111111010100 (base 2) in base 15?\nAnswer: 180a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31548.3087 + -31859.24. Let o = -0.0687 + k. Let j = o + 313.78. What is j rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2710 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12202 + -2?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:55 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 - 1) + 6 + (-21)\/7. What is the units digit of w*(-4)\/(-12)*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/73692 and -103\/6408?\nAnswer: 147384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5 + 225. Let c = -398 - -409. Let t = c + j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296738.6 rounded to the nearest 1000?\nAnswer: 1297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5495249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8130578*z + 1458*z**2 - 5 + 3 + 8130581*z.\nAnswer: 1458*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 527656 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4*2\/1056)\/(10\/15). Suppose 4*y - 2*n = 6*y - 4, -2*n = -3*y - 9. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 26257.\nAnswer: -5\/26257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9598892 to 4 dps.\nAnswer: -0.9599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 694*j + 9724\/7.\nAnswer: -2*(j - 2431)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1166\/(-4) - (-3)\/2. Let l be 1\/(-3) + a\/(-15). What is the greatest common factor of l and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4120 - 400?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(5 + 3*(sqrt(1100) + -1*sqrt(1100) + 0))*1)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 24 + 33 - 62 + o. Let f be n(16). Let d(k) = k + 2. What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + 6\/(-24). Let j(x) be the third derivative of -1\/6*x**3 + 0*x - 1\/120*x**6 + 1\/4*x**4 + y + 1\/30*x**5 + 2*x**2. Determine j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 5*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + n + (5 - 2 - 1)*(3*n - 2*n + n) + 3*n - 2*n + 0*n + (1 - 1 + n)*(4 - 2 - 4))*(60*n - 69*n - 109*n).\nAnswer: -118*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13289 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose 0 = -2*i - 5*l - 15, d*i + 0 = l + 3. Let u be 0\/(4*3\/(-6)). Solve i = n - 4 - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 49. Suppose -m + 49 = -t*m. Is m bigger than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 36910\nAnswer: -1\/36910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 - 2*n**3)*(4*n**2 + 10*n**2 + 12*n**2) - 5*n**5 - 55*n**2 + 55*n**2.\nAnswer: -57*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2. Let v(g) = -2201478*g. Determine v(p(l)).\nAnswer: 15410346*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpqpqpqoqppoq. What is prob of sequence ppo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1220 - 996. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -51 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uac when three letters picked without replacement from {u: 1, o: 3, a: 5, c: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/7949 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -21. Solve -6 = -d*q - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -18497*d - 6. Let q be r(2). Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*a + 33, -7*a + p + 2*p = -47. Put 3, 1, -16, 2, a in ascending order.\nAnswer: -16, 1, 2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1936 + 2587. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 20 = -9*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, -6 in decreasing order.\nAnswer: 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14479 less than 0.41?\nAnswer: -14478.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 2*n**5 - n**5 + (-2*n**4 + 2*n**4 - 2*n**4)*(-n + 4*n + 0*n) + 28*n - 28*n + 30*n**5.\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**3 + 367*t**2 + 359*t**3 - 367*t**2.\nAnswer: 394*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-129)\/(-9))\/((-6)\/108). Let d = -116 - y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/56 + (-250)\/(-154). Suppose 4\/11 - 16\/11*g**2 + x*g**3 + 2\/11*g = 0. Calculate g.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/(-36)*16 + 266 is divided by 254.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + 168. Let q = -655 + f. What is q rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374.4844ns to milliseconds.\nAnswer: 0.0003744844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2115 + 5087. Let w = 5436 - z. Suppose -3*h = 4*h - w. Calculate the highest common factor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 24 + 14 = 0. Find the third derivative of -175*n**3 - 2*n**k - 51*n - 35*n + 6*n**3 wrt n.\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 1 + 2 - 33*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18*s**4 - 50*s**3 - 4*s**2 - 4*s - 1250. Let a(f) = 2*f**4 + f**2 + f + 1. Let c(z) = -4*a(z) - r(z). Differentiate c(w) wrt w.\nAnswer: 40*w**3 + 150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.7. Which is smaller: v or -0.02?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/40*20\/8. Let t = -1843 + 1840. What is the third smallest value in y, t, -3\/5, 18?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*273\/(-78)*4\/(-7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:58 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6787 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19a - -10a9?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30129 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 7\/3*d**3 + 7\/2*d**4 - 5*d + 55 + 7\/2*d**2. Let k(m) = 13*m**3 + 6*m**2 + 6*m - 4. Determine -6*f(i) + 7*k(i).\nAnswer: 7*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -91826?\nAnswer: 3\/45913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -67152 > -67159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1768\/(-6)*(-4 - (-45)\/12). Let c = l + -73. What is the second smallest value in -3, 0.5, c, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 34 + 14 = 4*g - 0*b - 2*b, 0 = -5*g - 3*b + 92 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -10163 and 108954840321.\nAnswer: 108954830158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 246195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 388 + 59. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28\/25 (b) 12\/13 (c) 913 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3*w**4\/4 + 3*w**3\/2 - 2*w**2 + 66*w. What are the prime factors of x(-9)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -36748*q**2 - 13*q + 6. Let l be r(6). What is l rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**4\/4 - l**3\/6 + l**2. Let f(n) be the third derivative of n**4\/12 + n**2 + 100188*n + 2. Give h(f(m)).\nAnswer: 12*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7103\/20 - 1892\/5. Calculate the common denominator of (-1)\/(-3) + 113\/12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*z**2 - 7 + 59*z**2 - 2*z - 4*z**4 + 5 to the form m*z**3 + y*z**2 + a*z + t*z**4 + n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 4 - 2 + 5 - 1 + (3 - 3 - 1)*(-1 + 5 - 5) + 1 - 3 + 3)*(85*w + 71*w - 128*w) as d*w + q and give d.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3*f**5 + 3*f**5 - f**5) + 6*f - 6*f - 4*f**5 - 2*f**5 + 0*f**5 + 3*f**5.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16371 and 642?\nAnswer: 32742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-51)\/(-34)*(-103)\/6)\/(1\/(-4)). Put g, -30, 1 in increasing order.\nAnswer: -30, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 466\/3 (b) -633 (c) -2\/3 (d) 3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*r - 109*r - 110*r - 115*r - 103*r - 118*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -21002?\nAnswer: 20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 13. Let q = -7 - -18. Calculate the remainder when n is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(9\/8)*(h\/(h**(2\/7)*h))**40)\/((h*h**0)**(-41)*(h**(-2\/5)*h)**(1\/31)) assuming h is positive.\nAnswer: h**(130209\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14783 - -2?\nAnswer: -14781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -14 + 2. Let p be (-1)\/2*(2 + -6). Solve -p*k = -0*k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -7*t - 162. Find the second derivative of -t*s**4 - 6*s - 15*s**4 + 25*s**4 + 29*s wrt s.\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120063 rounded to the nearest 100?\nAnswer: -120100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 10. Calculate the remainder when -1 + c\/(-12) + (-3012)\/(-16) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -190, -191, -192?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 divided by -1?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 6)*(-h**4 + h**4 + 5*h**4).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 0, -r = 3*r - 5*q - 158. Suppose -2*j + r = j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -490, -1503, -4116, -9085, -17166, -29115?\n\"Answer: -126*p**3 - 44*p**2 + p - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) - (-3*sqrt(288)*2 - sqrt(288)))**2) + -5 + (sqrt(288) - (5 + -1*sqrt(288))**2)*-1 + 4.\nAnswer: -18120 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -34*j**2 + 1. Let q(p) = -250*p**2 - 242*p**2 + 486*p**2. Let h(a) = 14*a**2. Let b(t) = 2*h(t) + 5*q(t). What is k(b(d))?\nAnswer: -136*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8343)\/33 + (0 - -3). Let s = -250 - p. Which is the third smallest value? (a) -2 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990.3699s to milliseconds.\nAnswer: 990369.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.6 - -35.4. Let o = j + -42.000406. Round o to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000826900405 to 6 dps.\nAnswer: -0.000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -g + 3*g + 10, -g + c + 1 = 0. Solve u - 10 = -0*u - g*b, -u + 3*b = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 5*b - 49, -4*d + 8 = 3*b + 17 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -11*i + 2984. Suppose -1037 = -59*f - 2*f. Calculate the remainder when i is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 4*i - 3*p, -19 - 102 = -5*i - 3*p. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((124620\/(-8911))\/(-155))\/(3\/(3*-7))\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 0.5, 2023?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**4*s**2 - 17831*i*s**2 - 60856*s**2 wrt i?\nAnswer: 4*i**3*s**2 - 17831*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45479583 to the nearest 10000.\nAnswer: 45480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -g - 6. Let m(w) = -3*w**3 + 0*w**3 + 4*w**3 + 3*w**2 - 2*w**2. Let j be m(g). Solve -3*u + u = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 10*t - 8*t - 2*t in the form v + k*t and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 2*u, 3*y = -u + 2. Let x(i) = 8*i**2 + i. What is x(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 388703692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 77, 74, 71?\n\"Answer: -3*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222242 - -1?\nAnswer: 222243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**5\/24 - 10*z**3\/3 - 23. Let n(o) be the third derivative of b(o). Let l(y) = 2*y. Determine l(n(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8522.091 milliseconds?\nAnswer: 8522091000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = -2*i. Let s be (2\/(-4))\/(2\/(-4)). Suppose -2*t + i = s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 32 = -3*q, -2*s - 8 + 18 = 0. Let a be -2 + 9 - (2 + -1). Suppose -q*i - 28 = -a*i. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 + 253. Suppose 11*u - b + 4 = 0. Solve 7*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 848*r - 50724. Give z(60).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*z**3 + 6*z**4 + 2*z + z**2 + 7*z**4 + 9*z**4 + 140*z**3 - 19*z**4 to s*z**4 + h*z + c*z**2 + t*z**3 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z**3 + 2*z**4 - 827 + 827 - 9*z in the form b + s*z**4 + q*z**2 + v*z**3 + n*z and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let t = 3.933 + 0.067. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 5*j**9\/3024 - j**6\/40 - j**3 - 5*j. Let t(w) be the second derivative of b(w). What is the third derivative of t(u) wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 + 12*z + 12. Let l(d) = 22*d**2 - 31*d - 25. What is 2*l(n) + 5*m(n)?\nAnswer: -11*n**2 - 2*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 5 - 7) + 876 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10291386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5693 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddggdhggdd. Give prob of sequence dhgg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75582 and 746096?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13452, 53564, 120324, 213732?\n\"Answer: 13324*h**2 + 140*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 8\/9, 2, 0, 3, 2\/289?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*a**5*l + a**5 + 100*a**3*l + 48*a**2*l - 90*l wrt a.\nAnswer: 10200*a**2*l + 60*a**2 + 600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 6*p**2 - 5*p + 2. Let x be k(-5). Suppose -5*a = -2*z - 20, 4*a + x*z - 20 = -a. Solve y = -a*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.93 * 61\nAnswer: 300.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249368530 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 2*l - 0*l + 29*s - 40, 0 = s - 1 - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0 + 0 - d**2 + 69*d - 69*d + (4*d - 3*d - 3*d)*(-1 - 2*d + 1).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 40. What is the nearest to u in 0.3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*-1*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -52974.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -1016, -1122, -1230, -1340, -1452?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/50*92675\/(-1348)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2. Let l(p) be the first derivative of 2*p**3\/3 - 1. What is l(s(y))?\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 488045 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 - v**5 + 3*v**5 + (v**2 + v**4 - v**2)*(932 - 932 + 72*v).\nAnswer: 70*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1)*(0*x**3 + x**3 + 2*x**3) + (3 - 3 - x)*(-7 + 7 - 81*x**2).\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010531 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127709 (base 13) to base 6.\nAnswer: -13312042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 0*j**4 + 0*j**2 + 1\/30*j**5 + 1 - j - 1\/9*j**3. Let s(d) be the first derivative of a(d). Factor s(w).\nAnswer: 2*w*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*v, -2*l + 4*v = 4. Let g(s) = -6*s**2 + s**3 + 0*s**3 + 2*s**3 - 4*s**3 + l. Let t be g(-6). Solve -2*o + t*o - 3*w = 9, -3*w = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b. Suppose -3*r - r = -4. Let k be (4\/(-6))\/(-1*2\/6). Let c(n) = 13 - 7*n - 6*n**2 - 13 - k*n**2. Determine r*c(o) + 5*z(o).\nAnswer: -3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Let s be 2 + (-27)\/(-3 - f). Suppose 3*v = -4*y + 165, -5*y + 165 = v + 2*v. What is the highest common factor of s and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*146\/219*(-9)\/(-7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 49*p**2 + p + 39. Calculate l(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107713809989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2\/19, -4, -56018?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.6. Let y = 53 + -53.1. Which is the closest to y? (a) -0.5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 27*m**2 - 45*m + 3. Determine r(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 8 + 30 + 311374*d + 13*d**2 - 311372*d.\nAnswer: 26*d**2 + 2*d + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 472 = -t, 4*t + 229 - 76 = m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 10*t**2 - 9*t + 22. Let l be m(-11). Suppose l = 8*w - 2341 + 381. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 370 = -5*s, 0 = -4*s - 2107704 + 2107916 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7342447?\nAnswer: 7, 107, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 874016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 a factor of 1019954656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 18, 9, 0, -9, -18?\n\"Answer: -9*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 - 924*m**4 + 22376*m**3 + 72712*m**2 + 74580*m + 25172 = 0.\nAnswer: -1, 31, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/100)\/(271 + -289 + 12).\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - (-132 + 4)\/(-8). Let y = -42 + 47.8. Let t = -6 + y. Which is the nearest to g? (a) 0.3 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543961272 + 271980632 - 17*f**3 + 271980640.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(1 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 times -0.3?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*10\/40*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229613 or -229749?\nAnswer: -229613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -2023048.\nAnswer: -2023046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 561250329 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*k**2 + 4*b**2*x + 323*b*k**2*x - 22*b*k**2 + b*k - 3*b wrt x.\nAnswer: 4*b**2 + 323*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 15*l + 13. Let p be b(9). Let c = p + -41. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 4*g - 11 - 11)*(-2*g**3 + 0*g**3 + g**3) + g**4 - 4*g + 4*g.\nAnswer: -3*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 + 10 = -5*h, -3*d + 25 = -4*h. Let v(r) = -6*r**3 - 7*r**d + 3*r**3. What is v(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/7)\/(-3*(-4)\/(-49)). Let o(m) be the second derivative of 1\/20*m**5 + m**2 + x*m**3 - 3*m + 0 - 1\/2*m**4. Calculate o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -31. Calculate the highest common factor of m and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((360\/84)\/(-15))\/(3\/(-7)). Sort 16, 0.2, -0.1, i in decreasing order.\nAnswer: 16, i, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**2 - 4*v - 5. Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 2 + (-22 + 24 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 4 + 4 + (6 + 1 + 0)*(-4 + 4 - k) + 4*k - 4*k - 6*k in the form v + d*k and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/14 + ((-126)\/(-49))\/(-9). Let q(z) = -z**2 - s - 23 - 6*z + 22. Let i(v) = v**2 + 5*v + 2. What is -5*i(g) - 4*q(g)?\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 4, 1\/5, -2, -68, -41, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let a(l) = l**3 - 5*l**2 - l + 5. Let p be a(m). Let q be 1 + (-1 - 2\/(-10)). Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*c + 2. Suppose 3*m + 7 = -2. Put -4, m, c in descending order.\nAnswer: c, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -4 in decreasing order.\nAnswer: 10, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(1 - (-2440)\/(-2411)). Let d = v + -1330. Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146622 * 167.\nAnswer: -24485874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 110*f - 221. Determine d(10).\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 59*f**2 - 811*f - 16*f**3 + 812*f - 3*f**4 as a*f**3 + u*f**2 + w*f**4 + h + x*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 1:58 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3756161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.3054 + -0.2446. Round l to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24 = 4*t, -3*r = -5*t - 0*t + 21. Let v = r + 16. Suppose 0 = 2*o + 3*z - 57, 110 = 4*o + v*z - 2*z. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633375443 a multiple of 6103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -403 - 98. Suppose -z + 45 = -p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 282 = 13*s. Suppose -3*n + s = 2*o, -3*o - o = 4. What is the greatest common factor of n and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/114 and -22\/129.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/74 - -193\/1110. Let u(q) = q**3 + 4*q**2 + 4*q + 3. Let b be u(-3). Let c be -1 + b - 12\/(-10). What is the nearest to 3\/2 in z, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 807, 5, 0, 2 in descending order.\nAnswer: 807, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 12*t**2 - 15*t + 381. What is h(12)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-828)\/(-92) - (1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 596095981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1. Let g(r) = -6*r**3 - 3*r. What is -g(l) - 2*i(l)?\nAnswer: 6*l**3 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -27. Suppose -61 = -2*s + t, -144 - 7 = -y*s + 4*t. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 11*c**7\/14 + 5*c**4\/6 - c**3\/3 - 249*c. What is the third derivative of j(p) wrt p?\nAnswer: 1980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*h**3 + 49*h**3 + 7*h**4)*(-3*h + 2*h - h).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 489031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1235 - 1219. What is the remainder when 88 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05269 * 16.5.\nAnswer: -0.869385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*q - 2*m, 2*q - m - 43 = 34. Calculate the greatest common divisor of 1422 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -68647?\nAnswer: -1\/68647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7253837.\nAnswer: 7253837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**3*r**4 + 10*h**3*r**2 - 22*h**3 - 49*r**4 - r**3 wrt r?\nAnswer: 216*h**3*r - 1176*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from mpppppppmpp?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -531*k**2 - 5*k - 14*k + 70*k - 51*k - 3456 wrt k.\nAnswer: -1062*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2643 - -2643.3. Let r = 0.03 - 0.06. Let f = -0.07 + r. Which is the closest to -2\/5? (a) f (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 45*h + 138. Let f(q) = -11*q - 35. Let i(r) = 22*f(r) + 6*p(r). Suppose 4*k = 19 + 5. What is the remainder when k is divided by i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8037064.65 rounded to the nearest ten thousand?\nAnswer: -8040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -0.7 (b) 3 (c) 0.1 (d) -0.778 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8288 + 7768 - 5854 + 26778 + 16846 + 12375)*(r - r + r) in the form a*r + t and give a.\nAnswer: 66201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2135)\/(-17080) - 219\/120\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 35391\/(-1914))\/(18\/24). Let g = 4\/319 - s. Calculate the common denominator of g and ((-98)\/(-5))\/(-1*2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/1557 at most as big as -41\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.04, 14\/4071 in increasing order.\nAnswer: -1\/3, -0.04, 14\/4071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:42 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g**2 - 4*g + 25. Let o be z(5). Put o, -2, -3 in descending order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from tttigti.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 + 895*f**3 - 404 + 2183*f**3.\nAnswer: 3078*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -696 + 696. Solve 2*b - 3*b + 4*p - 8 = 0, -p + 3 = o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*d**2 + 116*d - 680\/3.\nAnswer: -4*(d - 85)*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 490*c - 12005.\nAnswer: -5*(c - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 38. Let j(r) = 23*r**3 - 30*r**2 - 5. Let y(w) = 35*w**3 - 45*w**2 - 7. Let h(n) = z*j(n) - 5*y(n). Find the third derivative of h(b) wrt b.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -26719 in increasing order.\nAnswer: -26719, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**6 - y**4 + y**2 + 1. Let x(v) = 826*v**6 + 2*v**4 - 233*v**2 - 2*v - 2. Let c(q) = 2*p(q) + x(q). What is the third derivative of c(h) wrt h?\nAnswer: 98640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/((-4)\/6). Suppose 4 = 2*d - 0*d, d + 4 = 2*h. Suppose -h*r - 4*r**3 + 2*r**q + 2*r**3 + 3*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2241397.88 to the nearest 10000.\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - 17*s - 12*s + 25*s. Let w(i) = -2*i**2. Give q(w(t)).\nAnswer: 28*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/12)\/(9\/3)*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 3, -5, -3 in increasing order.\nAnswer: -41, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = 39*y + 28*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -96*l - 107. Calculate t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296370842 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r, -4*j + 76*r - 79*r + 157723 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*i + 59842 = 7*m, 4*m = -i + 47877. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 8*y + 23. Determine a(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4963091676 to the nearest integer?\nAnswer: 70449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(177 - 67) + (-141)\/(-2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvqyhsyoohovooyoyy. Give prob of sequence sy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 66*i**2 - 576*i - 512.\nAnswer: -2*(i + 1)*(i + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, 1, -0.6, -4.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 5221?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4499911 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -8\/9 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195.45, -0.1, 4, -5 in decreasing order.\nAnswer: 4, -0.1, -5, -195.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*s + 2595 = 160*s. Suppose -s*p = -526*p + 154. What is the highest common factor of p and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4345.79 to the nearest 10.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -824, -1714, -2628, -3560, -4504, -5454?\n\"Answer: l**3 - 18*l**2 - 843*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10*85\/34. Let j = 6 + o. Suppose 0 = -3*z + j*f, -5*z + 3*f = 4*f. Solve z*d - d + 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sec when three letters picked without replacement from iciiciiieseieei?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/12 (b) -7 (c) -4.3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 90*o**2 + 6*o - 83. Is h(38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 58*c + 25. Determine q(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 13*a**3\/3 - 19*a - 8. Differentiate j(p) with respect to p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 24*g - 9. Suppose -15 - 6 = g*f. Let w be -1 - ((f - -5) + -4*1). Put 0.09, 1, -0.1, w in increasing order.\nAnswer: -0.1, 0.09, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 2*q + 3*q, 0 = 4*g + 2*q - 8. Let z(u) be the second derivative of 1\/6*u**4 + 0*u**2 + 1\/3*u**3 + g*u + 0. Factor z(j).\nAnswer: 2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8432 and 58414788.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 29 = 3*f - 2*m, 5*f = -5*m - 40. Let z be 12\/10 + f\/15. Suppose 2*o - 29 = z. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7. Let h(x) = -1. Let t be (-3)\/6*5\/(25\/(-190)). Let b(p) = -p**3 + 19*p**2 - 1. Let a be b(t). Determine a*l(k) + 3*h(k).\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1822040 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 44*d - 8. Let p be n(-9). Let s = p - 814\/5. What is the nearest to -1 in -0.15, 2\/9, s?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*c + 18 = -727*c + 4*m, c + 2*m + 4 = 4*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than -40368.923058?\nAnswer: -40368.793058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1119*h - 1122*h = 0, 3*i = -2*h - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 27, 72, 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -411b8db?\nAnswer: -411b8db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 + 6*u + 1. Let d be g(-6). Let x be (4 - 2 - 1)\/d. Let m be 21\/3 + x + 0. Solve -k = 3*p + 13, -p - p - m = k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 125 = -10. Solve -p = 4*p - m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6842, 6828, 6814?\nAnswer: 6800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1872624 and -61\/2?\nAnswer: 1872624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(1900) - (-2 + -2*sqrt(1900))) + sqrt(1900) - (sqrt(1900)*2 + 2)) + 2)*3 + 0)**2 + 4.\nAnswer: 720*sqrt(19) + 68440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let o(t) = t**3 - 9*t**2 + 7*t + 5. Let c be o(8). Let g(u) = -4*u. What is c*g(n) + 5*j(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 3*p. Let k(c) = -c. Let u(r) = -3*r + 5 - 7 + 2. Suppose 4*z - 2*z = -2. What is p*k(v) + z*u(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 204 = 0, 109669*d = 109670*d + h + 69 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1607, 1590, 1555, 1496, 1407, 1282?\n\"Answer: -b**3 - 3*b**2 - b + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0421548g to nanograms.\nAnswer: 42154800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 104*x**2 + 3510*x - 3510*x - 105*x**2. Let f(z) = 23*z + 7. Calculate f(q(s)).\nAnswer: -23*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 12 - 138*i**2 + 14 + 280*i**3 + 138*i**2 to k + v*i**2 + f*i**3 + h*i and give f.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38694678 and 19933622.\nAnswer: 657809526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 829.6791 millennia?\nAnswer: 8296.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*k**4*x + k**3*x + 5*k**2*x**2 + 103*k*x - 58*k - x**2 wrt k.\nAnswer: -228*k**2*x + 6*k*x + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1476, -7, -2 in descending order.\nAnswer: 1476, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/((-962)\/12025)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2 - 41*j - 23. Suppose 25 = 5*o, -2*l + 2*o = -0*l. Let x(s) = 7*s**2 - 28*s - 15. Let q(m) = l*g(m) - 7*x(m). What is q(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:47 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -237431c?\nAnswer: -2374317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 46*a**2 - 2561*a - 631. Calculate u(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122302 (base 5) in base 10?\nAnswer: -4702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 641 + -3851\/6. Suppose -5*j - 15 = -0*j. Which is the fourth biggest value? (a) 2\/15 (b) -19 (c) j (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 6\/7*b**4 + 0*b + 0 + 8\/7*b**2 + 16\/7*b**3 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 16*a**2 + 55*a - 41. What is q(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 11:15 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 48*o**2 - 217*o - 211. Give j(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49\/22 - -111\/77. Find the common denominator of x and -83\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1297, -24, 5\/2 in decreasing order.\nAnswer: 5\/2, 2\/1297, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.09 - -19.25. Which is the second smallest value? (a) h (b) 2.9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28741 = -16*s - 9861. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130)*2*4 + (sqrt(130) + sqrt(130)*-1)*3))\/(sqrt(360)*5 + sqrt(360) + 3*sqrt(40) + sqrt(40)).\nAnswer: 6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/15)\/(i\/(i\/i**(-9))))\/(i**(-13)*i**(5\/3)) assuming i is positive.\nAnswer: i**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 39*y + 25. Determine d(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -28*n + 5635. Let p(z) = n - 4*z - 539 + 272. Let s(x) = 2*x. What is p(s(m))?\nAnswer: -8*m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/3 - 2*z**3\/3 + z**2 + 2059*z. Give x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/(63\/(-20)). Let n = j - 2\/21. Which is the closest to n? (a) 0.4 (b) -3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.04 (c) -36560\/533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 115*u**2 - 585*u + 4400. Give i(110).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17536.46 hours?\nAnswer: 63131256000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*r*y**3 + 2*r*y + 24828*r - 7*y**2 + 2*y with respect to y.\nAnswer: -48*r*y**2 + 2*r - 14*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 7:07 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.14 - -0.14. Let d = 839 - 838. What is the nearest to 1\/12 in w, 6, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 23*v**2 - 22*v - 22. Is y(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5597 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2277290*i*x**3 - 2*i*x**2 - 11*i - 529*x**2 wrt x.\nAnswer: 13663740*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 62 = 18. Let t be 2\/10 - (-36)\/v. Solve 3*f - 2*o + 9 = 0, -2*f = t*o + 2*o + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/5, -725846 in descending order.\nAnswer: 3\/5, 0.5, -725846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.12, -0.3, -118, -2?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = -102. Let u = 100 + g. Which is greater: u or -20\/11?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*s - 63, -47 = -6*q + 27103*s - 27104*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - -151. Solve f - 2*r = 2*f + 3, f - g*r = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:55 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(-66)\/(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-147))\/(156\/48321).\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3 - 1978124*f**2 - 489123798040*f - 978239683600 = 0.\nAnswer: -494530, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**(-4))\/h))\/h*h**(2\/13)\/h)\/((h\/(h*(h*h*h**(1\/4))\/h))\/h)**(-1))**(13\/6) assuming h is positive.\nAnswer: h**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2952 (base 14) to base 10.\nAnswer: 7324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/9, 2119\/119, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-100))\/((25\/(-16))\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7530 - 7497. Suppose 93 + 39 = 4*h. Calculate the remainder when h is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 2*z**2 + 0 + 1\/6*z**3 + 0*z + 5\/24*z**4 + 1\/60*z**5. What is the units digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 10. Let h be l(10). Let r be (-2)\/1 + h\/(-21). Which is smaller: -1\/3 or r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 2*p + 15. What is the tens digit of n(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(((-36)\/20)\/(-3)). Let y be h\/(-120) + (-51)\/24 + 2. What is the nearest to 0.4 in 0.1, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -806 not equal to -810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*c - c - 4702, 5*b + 11770 = 5*c. What are the prime factors of c?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/7 - 348*a**4\/7 - 244*a**3 - 3056*a**2\/7 - 2370*a\/7 - 676\/7 = 0.\nAnswer: -169, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45288*m**3 + 1889*m**4 + 70647*m + 1999*m**4 + 153328*m**2 - 108*m**5 + 131965*m.\nAnswer: -4*m*(m + 1)*(3*m - 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - w - 1, 0*w + 10 = -2*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353709 (base 15) in base 14?\nAnswer: 4a2a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4025000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 14, 23, 34, 47, 62, 79?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2. Suppose x = -2*x. Let l(g) be the second derivative of 0 + g + 1\/3*g**3 + x*g**2. Give l(o(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28398.42 years in months?\nAnswer: 340781.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6145780, 6145781, 6145782, 6145783, 6145784, 6145785?\nAnswer: 6145786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from lllqlllqlyyllllllpl.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 11*x**2 + 18*x - 9. Let l be n(7). Which is bigger: l or -38?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-168)\/(-5))\/(1 - (-112)\/(-160)). Which is bigger: 564\/5 or c?\nAnswer: 564\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497099 + 246.\nAnswer: 497345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49 - -44) + (-29)\/(-5))*35\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 + 1 - 1. What is the first derivative of 1 - f - 1 - 1 - 3*a wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/57)\/((-4)\/8)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62 + (-9)\/(-6)*-4. Let o be (-2)\/(-5) - 1518\/(-30). Let u = i - o. Solve -3*v = -3*b + 6, 0 = -u*v - 5*b + 13 - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 27*y**6\/10 + 66*y**5\/5 - 131*y**4\/6 + 8*y**3 + 2*y**2 - 2108*y. Factor f(v).\nAnswer: 4*(v + 3)*(9*v - 4)*(9*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 3312*t - 95872.\nAnswer: 4*(t - 856)*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-156)\/42 + 3). Which is the fourth biggest value? (a) p (b) 6\/7 (c) -0.5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20644 + -9707. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -224251?\nAnswer: -224250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - 6\/27. Suppose -2*k + 0*k + 8 = d, -3*j - 2*k = -77. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.531026 months in millennia?\nAnswer: 0.0023775855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136))\/sqrt(8))**2*5 + -3*(sqrt(425) + 4 + sqrt(17)).\nAnswer: -18*sqrt(17) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (47*1)\/(-2 - (-468)\/228)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*w**3 - 3 - 49*w**4 - 190*w**3 + 50*w**4 - 2*w**2 to z + g*w**2 + i*w**4 + a*w + n*w**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 5*l**4\/12 + 35*l**3\/6 - 20*l**2 + 86*l. Factor t(c).\nAnswer: 5*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122139 - 122175. Let f = 0.06 + -0.46. Which is the second smallest value? (a) g (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101221 (base 3) to base 7.\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 1\/11 (c) 172 (d) -256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 57308?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + 0 + 8. Suppose 5*c - s*c + 80 = 0. Solve 0*o + 16 = -5*a + 4*o, 3*a - c = -5*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:13 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1929*d + 1928*d + 9 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 + 35*j**3 + 45*j**2 - 35*j - 40 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(-2*sqrt(70) + sqrt(70) + sqrt(70)) - sqrt(70))\/sqrt(10))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbjhbbhbjhjbbhbjh. What is prob of picking 2 j?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4 + 5*d**3\/3 + 5*d**2\/2 + 3*d + 1. Let s(v) = -v**3 + v**2 + v + 1. Let c be 0 - -4 - 3 - -4. Give c*s(o) - i(o).\nAnswer: -o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c**2 - 4*c - 20. Let i(d) = d + 17. Let v be i(-23). Is w(v) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -42*q**2 + 8*q + 16. Give r(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -3*g**6\/80 - 7*g**5\/20 + 47*g**4\/16 - 7*g**3\/2 - 2*g**2 - 7. Factor y(o).\nAnswer: -3*(o - 2)*(o + 7)*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 143?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -2*r. Let v be 9\/6 - (-1)\/r. Determine d, given that v*d - 1\/4 - 1\/4*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (62023 - -488) + 1*2?\nAnswer: 11, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*k**5*q**3 - 74*k**5 - 2572*k**2*q**2 - 5*q**3 wrt k?\nAnswer: -1860*k**2*q**3 - 4440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 4920?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-9) + (-4180)\/(-30) is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9494096 - -5.44941. Let w = b + -0.5. Round w to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 - 23*b)*(0*b + 0*b + b) + (-3*b - b + 2*b)*(-3 - 6 + 4)*(214 - 14*b - 214).\nAnswer: -163*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**10)\/a**18 assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*h + 3*m = 188*h - 4, 37*h - 5*h - 4*m = 40 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m**2 - m)*(6 - 6 + 3*m**3) + 0*m**2 + 0*m**2 + 2*m**5.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j\/(((j**6\/j)\/j)\/j)*(j\/((j**0*j)\/j*j))**(-41))**35 assuming j is positive.\nAnswer: j**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + -2.93. Let l = -9.978 - -10. Let h = l - 0.422. Sort h, 3, u.\nAnswer: u, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*r + 496 = r, 16 = 4*r. What is the highest common divisor of 90 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 1839 + 1389 = 0. What is the greatest common divisor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -2*i, 2*i = -2*j - i + 6. Let q(m) = m**2 - 5*m + 4. Let z be q(5). Suppose g = 3*w + 6, 5*g + w + w + z = j. Is g less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - 4*m. Suppose -6 = -3*x + k + m, -3*x + 3*k = -9. Find the third derivative of u**2 - u**2 - 2*u**2 + x*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -696413*k**2*o**3 - 38*k**2*o**2 + 113*k**2*o - 315*o**2 wrt o?\nAnswer: -4178478*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**6\/15 + 4*w**5\/5 - 37*w**4\/10 + 8*w**3 - 36*w**2\/5 + 25. Factor h(j).\nAnswer: -2*j*(j - 3)**2*(j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12453454500 to the nearest one million.\nAnswer: -12453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -336*i + 21670. Calculate n(63).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let l(x) = -x - 2. Let w be l(-5). Suppose 0 = -q - w + 5. Let t(n) = -q*n**2 - 9 + 9. Calculate t(k(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -408. Suppose -2705 = -5134*d + 89707. What is the remainder when l is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 21941\nAnswer: 2413.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -385, -874, -1559, -2440, -3517?\n\"Answer: -98*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 5*c**2 + 85*c + 305. What is g(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502788322 to the nearest integer?\nAnswer: 22423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/21)*w*w\/(w\/(w\/(w*w**(1\/6)*w)))*w*(w**(-2))**12 assuming w is positive.\nAnswer: w**(-323\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.7. What is the nearest to 2\/3 in 6\/11, -0.2, a?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 1. Let z(k) = k**3 + 6*k**2 + 6*k + 2. Let w be z(-5). Let l be d(w). List the prime factors of (l - -2)\/(2\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + p - 13 + 44 = 0, 268 = 10*n - 3*p. Let k = 22 + -16. Solve -b + n = -k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -7, -2\/19, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 405 = -4*f. Let o = f - -109. Solve o*d - 11 = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 2*p**2 + p - 3. Let x(k) = -1 - 2*k**3 - 2*k + 6*k**3 + 3*k - 3*k**3 + k**2. Give -j(c) + 2*x(c).\nAnswer: c**3 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 11 + 37 + -21.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -341*o + 4. Let a(g) = -1032*g + 13. Calculate 6*a(r) - 19*h(r).\nAnswer: 287*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = -8. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4916, -9831, -14746, -19661, -24576, -29491?\nAnswer: -34406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -24. What is the highest common factor of 40 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 981167, 981166, 981165, 981164, 981163?\n\"Answer: -q + 981168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**2 + 13*l**2 + 3*l - 12*l**2.\nAnswer: 40*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.3166722\nAnswer: 0.019000332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13266546 divided by 5\nAnswer: -13266546\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:17 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -39\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 10002202101?\nAnswer: -10002202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 725\/(-70) + 36\/(-252) - -6?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 36*p - 2*p + 0 + 76 = 12, -3*z + 5*p = 42 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/24*36\/3. Let q = 6 - 4. Find the third derivative of 15 - 6*b**q + 4*b**2 - 15 + 5*b**a wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -w - w - 12, 0 = 4*w - 5*q - 36. Suppose w = 3*c - 2. Solve 3*s + 2*s = c*a - 13, -5*a = -2*s - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2. Let x(f) = -f**2 + 74*f + 3. Determine x(t(n)).\nAnswer: -16*n**4 + 296*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174\/20945 or 1?\nAnswer: 174\/20945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -1\/3 (c) -1976 (d) 25 (e) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 409*x + 1620.\nAnswer: (x + 4)*(x + 405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*j + 10*j - 13*j)*(-4*j**3 + 5*j**3 - 2*j**3) + 6 - 2*j**3 - j**4 - 59*j**2 + 59*j**2 to the form p*j**3 + b*j**4 + c*j**2 + u + y*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 1)*(5*s - 2*s - s)*(-6*s**3 + 2*s**3 + 2*s**3) in the form r*s + h*s**4 + d*s**3 + x*s**2 + i and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1228, -1227, -1226?\n\"Answer: r - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/(-7))\/(-8))\/(-7*(-12)\/(-2352))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 73260\/(-276750) + -9 + 1251\/135. Let h = -1 + 2. Is y bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/9*d + 16 - 100\/9*d**2 - 28\/9*d**4 + 2\/9*d**5 + 34\/3*d**3.\nAnswer: 2*(d - 9)*(d - 2)**3*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -42, -59, -74, -87, -98?\n\"Answer: z**2 - 22*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let s(r) = -6*r + 2. Suppose 0 = 2*y - 2 - 4. Suppose -2*o = -o + y*x - 10, -4*o + 6 = -5*x. What is o*c(g) + s(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -339493884 or -339493883?\nAnswer: -339493883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 620840 and 50215.\nAnswer: 6829240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/2, 3, -71.\nAnswer: -71, -0.2, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 7*q**2 - 9*q + 9. Let i be y(-5). Solve 4 = i*g - 2*r, 12 = -2*g - 2*g - 2*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k - 25. Let h = 34 - 32. Calculate the remainder when k is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2091\nAnswer: 1\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2209 + 8845 = 42*o. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410885 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 + -121. Let j(p) = 7*p**2 + 4*p - 2. Let c be j(-5). Suppose c - 463 = -2*w. What is the greatest common divisor of w and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(3 + -1 + -1). Suppose 3*a = -b + 11, -2*b - b = -2*a - z. What is the third derivative of 4*x**2 + 6*x**b - 6*x**2 - 4*x**5 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.0901 - 1385.7099. Let s = -1387 - n. Suppose -26 = -2*m + 4*m. Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/10 + 5*u**4\/12 - 15*u**2. Let q(i) = i. Give q(j(v)).\nAnswer: -6*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 4. Let p = -9 + 5. Let n be w(p). Let b be (-9)\/5 - -2 - n. What is the smallest value in -5, b, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (4*sqrt(200)*3)**2 - ((-2 + sqrt(200) + sqrt(200))**2 + -1)) + ((2*sqrt(200) + 2 + (5 + sqrt(200) + 2 + sqrt(200) - sqrt(200)))*3)**2.\nAnswer: -12674 + 4950*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 plus -593857?\nAnswer: -593826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-4))\/(65\/312*-15). Which is the nearest to h? (a) -0.2 (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5*-52.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55983\/43 + 1302. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58513 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*y - 5*p, -8 = -3*y - 0*p - p. Let k be (-1 - -1) + y + -2. What is the second smallest value in -0.1, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b + 109. Give c(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 13527 - 36998 = 0. What are the prime factors of c?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 26*j**2 - 7*j + 109. Let i be h(-25). Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1352\/5 - 271. Which is the fourth smallest value? (a) 3 (b) 0 (c) x (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8135.4 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780*d - 1774*d - 114 = 0. Suppose 0 = 45*t + d*t - 4224. What is the highest common factor of 110 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzxxxzzzz. What is prob of sequence zxxz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24634722.\nAnswer: 2, 3, 7, 586541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 8, 2*o = 5*t - 23. Solve 2*h = -t*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*m**4 + 22635*m**3 + 16*m**2 + 207760*m wrt m.\nAnswer: -600*m + 135810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 326389745 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280291 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1381 from 0.157967048.\nAnswer: -1380.842032952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 477 - 211. Suppose h - 43 = y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, 1, -3, 21 in descending order.\nAnswer: 21, 1, -3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-26)\/169*(-840)\/1155\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.517 - 1.487. Which is the third biggest value? (a) 2 (b) -5\/3 (c) 0.4 (d) h (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 3*j**3 + 2*j**2)*(35*j - 35*j - 12*j**2) + 0*j**5 + 0*j**5 + j**5 + (-6 + 15*j**2 + 6)*(3*j**3 - j**3 - 4*j**3).\nAnswer: -65*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, r: 4, k: 2}. What is prob of picking 1 c and 2 k?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276 - 1428 - 200 = 121*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110343.\nAnswer: 3, 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 7*k - 4. Let p be f(6). Let i be 1\/(-5) - p\/(-5). Which is the closest to i? (a) 1 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.2 (b) -2\/3 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715 and 6409?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1597 - -1599. Let j be 46\/14 + 4\/(-14). Suppose j*p = -w*n + 321, 3*n - p - 478 = -2*p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2306*p + 88594. Calculate k(39).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 320974*h**2 - 9*h - 7695864 wrt h?\nAnswer: 641948*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - 108*l + 58. Let z be n(-22). Calculate the highest common factor of 2786 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 5033952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 5*m - 2*m)*(-1 + 1 + 3*m)*(0 - 2 + 3) in the form q*m + l*m**2 + t and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1127 bigger than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/(-22))\/(6\/43935). Let s = n - -4658. What is the common denominator of s and (-133)\/21*-4*(-9)\/(-48)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 16 + 12)*(0 - a + 0)*(-1760 + 1190 - 2887) to b + l*a and give l.\nAnswer: 62226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r - r - 4*r + 6*r - 5*r + r - 1 + 1 + (3 - 1 + 0)*(4*r - 2*r - 4*r) + 0*r + 0*r - r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 793 + -476. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8723977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-132)\/(-20))*-5. Let x = r - 14. 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 w = -101 + 222. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-48*l**3 - 6*l**3 - 43*l**3) - 5 + 4 + 3*l**3 - 3.\nAnswer: -191*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3, -14, -0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l**(2\/29) assuming l is positive.\nAnswer: l**(-31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -12. Let r(z) = p*z + z + 3*z. Let j(k) = -2*k. Give j(r(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125255951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8044 by -4022.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 708*f - 2768 = 0. What is f?\nAnswer: -173, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d - 35*d + 14*d**2 + 12*d.\nAnswer: 14*d**2 - 101*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 210, -3, -1, 1 in decreasing order.\nAnswer: 210, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11724720, 11724744, 11724770, 11724798, 11724828, 11724860?\n\"Answer: b**2 + 21*b + 11724698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 11.04.\nAnswer: 22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, 1 q, and 1 t when four letters picked without replacement from {p: 1, q: 2, t: 2, m: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7052088 or -7052090?\nAnswer: -7052090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/2 - 6. Let s = -8\/39 - -7\/13. Sort s, 3\/5, j in descending order.\nAnswer: 3\/5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = -3*o. Let d(v) = 8*v + 1. Let u(l) = 32*l + 5. Let s(n) = o*d(n) - 2*u(n). Suppose 0*k = 5*k + 5. What is s(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/22 and 6\/(-9)*(-438)\/(-16)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by -15\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 0.1.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 56. Let w be c(-13). Is (-206174)\/w + 12\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9*t - 20. Let s = 0.4206 - -0.0794. What is the second biggest value in 2\/13, 5\/4, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 2 e when four letters picked without replacement from {n: 3, b: 11, e: 4}.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let f be (-26 + c)*3\/(30\/(-4)). Which is smaller: 11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516626563 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1901.916 minutes to seconds.\nAnswer: 114114.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 80*u**2\/7 + 864*u\/7 + 2304\/7.\nAnswer: 2*(u + 4)*(u + 12)*(u + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:01 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Are u and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 73360.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 9042.\nAnswer: -2\/4521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 485*z**3 + 35*z**2 + 6*z + 18. What is the thousands digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8 + 12\/8. Suppose q*m = -3*t + 1916, -5*t - 1937 = 2*m - 5129. Suppose -t = -5*k + 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 484, 8, -0.5 in decreasing order.\nAnswer: 484, 8, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8965000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1005)\/(-67)*-75*4\/(-9)*2\/(-8).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 9\/14 (c) -0.1 (d) 1\/6 (e) 17177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370268.99994 - 370288. Let l = 23 + -4. Let a = l + m. What is a rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98119, -98116, -98111, -98104?\nAnswer: -98095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -196241230 to the nearest 100000.\nAnswer: -196200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196491983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(99) + -1 + (0 + (-2*sqrt(99))**2 - sqrt(99)) - (-1 + -2*sqrt(99) + sqrt(99) + 0 + 2*sqrt(99) + sqrt(99) + 3)) + -4.\nAnswer: -6*sqrt(11) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18338934?\nAnswer: 2, 3, 3056489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134929819*t**4 - 3*t**2 - 67797197*t wrt t?\nAnswer: 3238315656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19 (b) 5 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636 + 738. What is the second derivative of n*f**2 - 9*f + 164*f - 151*f**2 - 146*f**2 wrt f?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 8*t - 17. Let v be u(-10). Let d = 7 + -10. Let i = -1 + 2. Which is the nearest to i? (a) -4 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006062 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5009 is divided by 293?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/(8\/(-12)). Let d be (0\/(2\/1))\/o. Suppose 3*j = -2*u - d*u + 7, -3*u = -3*j + 12. Which is smaller: u or -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 3*-2)*-2. Let i be 4\/6*(-5)\/k. Let j = -0.04 - 1.96. What is the closest to i in j, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -561 + 669. Solve -d = 2*r - 104 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c - -138?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-966*l - 2933*l - 327*l - 6110*l + 88*l)*(6 - 1 - 3).\nAnswer: -20496*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/7)\/(4\/10). Let h = n + 13. Let f(d) = -d**2 + 2*d - 2. Calculate f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095170723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:36 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146650212 + -11?\nAnswer: 146650201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4362*n*r**4 - 3*n*r - 5478*n + 2*r**4 wrt r.\nAnswer: 17448*n*r**3 - 3*n + 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -27*q - 47 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.035 (c) -1\/5 (d) 29\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**8\/112 - 2*s**5\/15 - 8*s**2. What is the third derivative of q(k) wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 14. Suppose 5*r + 35 = -3*n - 1, 2*r + 6 = 0. Let y be u(n). Suppose y*z = 11*z + 16. Sort z, -0.1, 0.5.\nAnswer: z, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a + 0 + 0*a**2 + 1\/6*a**4 + 0*a**3. Let o(i) = 16 - 16 - 4*i**2. Determine o(r(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*d**3*y**3 - d**3*y + 12860*d**2*y**3 + 13*d**2*y + 30*d*y**3 + d*y**2 + 4*d - 12772*y**2 - 1 wrt y.\nAnswer: 528*d**3 + 77160*d**2 + 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -340242846.5 and -3?\nAnswer: 340242843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 4*b**2 + 13*b - 37. Let f be z(7). Is f > 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 7*j + 12 = 0. Let d be 3\/((-48)\/4)*52. Let z(p) = 11*p**3 - 17*p**2 - 13*p + 13. Let s(y) = 5*y**3 - 8*y**2 - 6*y + 6. Give d*s(g) + j*z(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 18 = -2. Let i = v - -9. Let a(c) = -2 + c**3 - 3*c + 12 - 3*c**2 - 7. Calculate a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**2 + 3 + 775133*q**3 - 774936*q**3 + 10 wrt q?\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-771)\/(-6))*(-528)\/18. Suppose -t = -35*t + n. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:14 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 5*g + 36. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -798 + 3161\/4. Find the common denominator of 99\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6324, 6787, 7264, 7761, 8284, 8839, 9432?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 432*x**2 + 482*x**2 + 166*x**2 - 266*x**2 + 313*x**2 as j*x + k*x**2 + y and give k.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249799103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:32 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151866 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5737.59 seconds to milliseconds.\nAnswer: 5737590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 8206.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -199249776 to the nearest one million.\nAnswer: -199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -17952582.\nAnswer: -17952578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 3*n - 3*n)*(3*n - n - 5*n)*(0 + 1 - 2) + (-3*n + 2*n + 2*n)*(-29 + 1 + 7)*(12*n - 12*n - 7*n**2) to k*n**3 + a*n + u + t*n**2 and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8636*p**3*y - 2*p**2*y + 7*p**2 - 15*y - 21 wrt p?\nAnswer: 51816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 330, 203, 72?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 64 = 3*c + i, 69 = 3*c + 3*i. Let l be 4\/(-18) + 112\/c. Let u be 128\/12 + 2\/l. Calculate the greatest common divisor of u and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 13*c + 11*c - 626 + 583 - 24*c.\nAnswer: -c**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*195.8.\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -417*m**3 - m**2 - 5*m - 28. Let x(p) = 416*p**3 - p**2 + 4*p + 34. Let r(k) = 3*i(k) + 4*x(k). What is the third derivative of r(n) wrt n?\nAnswer: 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 2. Let l(j) = -1176*j + 2016. Determine l(o) - 1008*v(o).\nAnswer: -3192*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (11 - (-12 - -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -4395\nAnswer: -2\/1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/29*(-72)\/(6912\/(-1392)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 7:41 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141.8180893 - 141.812. What is v rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkvv when four letters picked without replacement from vvkvkkkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 1108886*x\/7 - 1108888\/7.\nAnswer: 2*(x - 554444)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1158.58177 and 3.\nAnswer: -3475.74531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8156*m**3 - 4142*m**3 - 2154*m**3 - 1862*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 259322 and 259321 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + w**3 + 2 - 787*w + 7*w**2 + 787*w + 2*w**3 + (13 + 33 + 22)*(-2 - 3 + w**3 + 2) as i*w + x*w**2 + a*w**3 + b and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1500 and 1139100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -22, 2, -13 in descending order.\nAnswer: 2, 1, -1, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -127 + 199 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*f + 12 = 0, -5*t - 4*f + 3*f - 3 = 0. Let s(y) = -y**2 - 9*y - 11. Let g be s(-6). Suppose t = 3*r - g*r + 28. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ca35 (base 15) to base 4.\nAnswer: 1020033311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 8. Let b = 6.999958 + a. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2 - 7 + 2)*(170 - 170 + 79*t)*(-4 - 2 + 4).\nAnswer: -316*t**3 + 1106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - d**2)*(-d - 2*d**2 + d) + (38 - 13*d - 38)*(5*d**3 + d**3 - 4*d**3).\nAnswer: -30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -12, -k + 15*w = 14*w + 17171. Which is greater: k or -17167?\nAnswer: -17167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, -398, -0.1, -30, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2124 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 - 371. Suppose 4*x = 3*d + 70, 0*d = 3*x - d - v. Calculate the remainder when 124 + 0 + 0 + 1 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z - 3 - 5 - 1 + 3 - 9*z**2. Let p be q(-6). Let w = -167 - p. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 94304.\nAnswer: 1\/2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85.52296475 - 86.64126. Let l = 8.88170605 - z. Let a = 10 - l. What is a rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -130 (b) 84567 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -19, 35.\nAnswer: -19, -1, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6 and -53\/5201?\nAnswer: 31206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5*i - 6. Calculate g(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 12*a - 45. Suppose -g - 4*q + a = 0, q = 5*g - 122 + 14. Solve 0 = g*z - 20*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 16576*a**2 + 33156*a**2 - 16574*a**2 in the form z + i*a + d*a**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, 1148, 1704, 2250, 2786, 3312?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 15*u**2 - 16*u + 7. Determine l(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -214255610 divided by 1\nAnswer: -214255610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h + 1803 + h + 3*h**3 - 1803.\nAnswer: 3*h**3 - 37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7581383554 - 20925\nAnswer: -7581404479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327206.2 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10102, 20198, 30290, 40378, 50462, 60542, 70618?\nAnswer: 80690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008551 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 500.7 - 491. Let o = b - 10. Sort -1\/5, 0.2, o in descending order.\nAnswer: 0.2, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(858\/(-27))*7\/((-2205)\/5)\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 861 + -613. Let u = 247.5 - z. Which is the third biggest value? (a) 2 (b) u (c) -4\/9 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 23385*s**4 - 23400*s**3 - 46780*s**2 = 0. What is s?\nAnswer: -4678, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.05, 0.063, 376?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k + 3. Let s = 18 - 32. Let h(b) = -b**3 - 13*b**2 + 15*b + 16. Let x be h(s). Calculate o(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - 5*b + 10. Let j(w) = 5*w**2 + 6*w - 9. What is -5*j(r) - 6*u(r)?\nAnswer: 5*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 19*w - 22. Let o be h(20). What is the tens digit of (-4 - -86) + o + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -12, 0.2, 0, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let i be -2 + (2 + -1)*d. What is the second derivative of -1 + f**2 + 3*f**i + 1 - 2*f wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-7)\/(70\/(-4)). Suppose v - 11 = f. What is the highest common divisor of 117 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 4*l - 5*p, -l - 4*p = -p - 39. Suppose k = -0*k - 4*i - l, -2*i + 60 = -k. Let a be ((-1)\/2)\/(9\/k). Sort a, -2, -3 in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1603134 and -97\/11756316.\nAnswer: 35268948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from wywyyyoyguyw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/8 and 49\/1096.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5299, -5722, -6867, -9094, -12763, -18234, -25867?\nAnswer: -36022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 x when three letters picked without replacement from eqqxhuhhhh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1125)\/(-60))\/(-1*6\/(-16)). What is the second smallest value in -1, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*x + 34*x + 42*x + 85*x.\nAnswer: 91*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44208 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -2\/9 (c) 37 (d) -1682 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016046 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1183 + 1954. Let a = h - 679. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u + 2)*(-3*u**4 + 2*u**4 + 19 - 17 - 2*u**3).\nAnswer: -u**5 - 2*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7927.711 centuries?\nAnswer: 9513253.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (138 + -143 + (12 - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.992994 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -6 (b) 3 (c) -3 (d) 4\/7 (e) -218\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*g + 2*g - 6, -6 = -5*i - 3*g. Suppose 5*u - 8 = -2*p, -2*p + u = i*p + 7. What are the prime factors of ((-50)\/20)\/(p\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/10 - 2*q**4\/5 + q**3\/2 + 2*q**2 - 2*q\/5 - 8\/5 = 0.\nAnswer: -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**2\/2 + t - 9. Give z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*b + 5*f, 3*b + f - 65 = 3*f. Suppose -19 = -2*h + b. What is the remainder when 36 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*l - 5030*l = 101618 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3444200 is divided by 3443831.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*x + 0*x = -6, 5*u + 4*x - 49 = 0. Suppose k - 12 = -5*o - 1, 4*k + o + u = 0. Sort -1, 3, k in descending order.\nAnswer: 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/8 - 5\/(-20). Let b = p + -6. Is 3\/b - (-430)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/640 and 3\/64.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 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 33*j - g = 38*j - 15, -32 = -3*j + 4*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**3 - 10*u**3 + u**3 + (-2*u**2 + 5*u**2 - 2*u**2)*(-2*u - 2 + 2) + 0*u**2 + 0*u**2 + 2*u**3 + (-5 + 3*u + 5)*(-2*u + 2*u + 2*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - p)*(5*p + 4*p + 2*p)*(-4 - 5 - 6) as w + v*p**2 + b*p and give v.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3538239 and 103\/30.\nAnswer: 35382390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3952.115 centuries to years.\nAnswer: 395211.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1220 + 1220.679. Let r = p - 2.897. Round r to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 divided by -1067?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149243534 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 29*m**2 - 21*m + 40. Let z be 2*(-398)\/28 + (-96)\/168. List the prime factors of n(z).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1. Let q = -28 - -65. Let t = -34 + q. What is the second smallest value in i, 2\/15, t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4787 and -0.2.\nAnswer: -0.6787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -18. Solve -3 - d = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w = -114 - 540 - 126 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12653020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 2. Let y = 0.1 + 0.05. Let m = y + 0.85. Which is the nearest to m? (a) v (b) 1\/6 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + 87. Suppose 41 = 4*v - 5*k, -7177*k + 7178*k = -v - 10. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*i - 3, -3*i - 3*f = -0*f + 6. Let l = i - -8. Suppose d + 30 = l*n, 2*n - 4*d = -0*n + 20. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(475)*-1 + 3)*1 + 2 + -1.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231006*v**4 + 2*v**3 - 2*v**2 + 3293*v - 1.\nAnswer: 5544144*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 - (66 + 42 + -138)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4253786?\nAnswer: 2, 2126893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 4*k**3 + 4330*k**2 - 2888*k - 1268. Determine n so that x(n) = 0.\nAnswer: -722, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99753974 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401336156 to the nearest integer?\nAnswer: 20033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d00 - -2?\nAnswer: 6d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -512991 rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2 - 0)*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6*a = -5. Solve 0 = -2*i + a*d - 16, -3*i - 23 = 2*i - 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.2 (c) -0.01 (d) 6\/305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7201\/85 - 428\/5. Let r = -3.3469 - -5.3469. Put r, z, 1\/7 in descending order.\nAnswer: r, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a factor of 190226585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*2.2\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1167 - 1165. Let z be (-28)\/(-5) - (-4)\/10. Let k(m) = 6 - a + z - 8. Let o(t) = t + 8. Calculate -9*k(q) + 2*o(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(539) + -1 + -5 + 0 + 2 + sqrt(539) + (4 + sqrt(539)*3 - sqrt(539)))**2.\nAnswer: -51840 + 1344*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**3 - 2*f + 5*f**2 + 8 + f**3 - 2. Does 6 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110148 and 28408?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))\/(x\/x**(-7)*x))**(-31) assuming x is positive.\nAnswer: x**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 37*f**2 - 24*f + 15. Let w(t) = t**3 + 75*t**2 - 51*t + 30. Let y(x) = -5*j(x) + 2*w(x). Determine y(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(6\/3) + -4. Let w(j) = 5*j**3 + 5*j**2 - 7*j - 3. Let z(a) = -3*a**3 - 3*a**2 + 4*a + 2. Determine y*z(g) - 4*w(g).\nAnswer: g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17))**(2\/9)*(l\/l**2)\/(((l**(4\/5)\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(133\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.051 in 0.05, 2, -3.3, -1\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364240819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 4*o + 63. Determine j(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 2*k - 5. Let f(v) = 1071*v**2 + 132*v - 363. Let g(b) = -275*b**2 - 33*b + 91. Let h(x) = -10*f(x) - 39*g(x). Determine 2*h(w) + 33*n(w).\nAnswer: -3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 431*q - 433*q. Suppose a = 3*t + 1, t + 4*a - 3*a = 5. What is the greatest common factor of q and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 162?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m**3 - 11\/24*m**4 + 0 + 0*m + m**2. What is d(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002201122 (base 3) in base 13?\nAnswer: -9b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 123585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307 greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091880 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 + 46104*h**2 - 46100*h = 0. What is h?\nAnswer: 0, 1, 11525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 30*h - 1363. Let r(m) = m**2 + 23*m - 1022. Give -9*r(b) + 7*z(b).\nAnswer: -2*b**2 + 3*b - 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 968177831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 - (128 - -78) - (0 + -76).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g - 18*g - 146*g)*(1 + 2*g - 1)*(-6 + 0 + 3).\nAnswer: 894*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + -1749. Let u be (-12)\/8*c\/12. Suppose -3*f - 6*p = -p - 180, 4*f = -2*p + u. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 20 + 10. Let f(w) = -w**2 + 6*w - 1. Calculate the lowest common multiple of d and f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158584 = 17*f - 103947. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 - 418. Which is the nearest to -3? (a) -0.5 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1966*g + 4895.\nAnswer: -1966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 - 26*p + 48. Let x be w(8). What is the greatest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 - 9*i + i + 12*i - 3*i.\nAnswer: i + 388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + 13*u - 24. Let t be (4 - 1) + 4 - 5. Let w be j(t). Which is the closest to w? (a) 1\/4 (b) 0 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 8:01 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aypvvbja. Give prob of sequence vvy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.5 + -4.5. What is the second biggest value in 2\/29, f, 1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-18)*(38\/4)\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 75*j. Let y(w) = -5*w**2 - 74*w. What is -3*v(r) + 2*y(r)?\nAnswer: 2*r**2 + 77*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/42)*i*((i\/(i\/i**(-3\/7))*i)\/i)\/i)\/(i*i\/(i*i\/((i\/i**0)\/i)*i))**(-34))**(21\/8) assuming i is positive.\nAnswer: i**(-1405\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.063835 - 0.0926. Round n to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g. Let w be p(3). Let m be 4\/(-36) - 16\/342. Is m <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5238 + 13385. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 317 and 23141?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 891\/(-7). Let a = -71 - f. Let t = 1 + 6. What is the greatest common divisor of t and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958\/(-73425)*6\/(-4)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/((-6)\/366). Which is smaller: f or -60?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212100210101202 - 10?\nAnswer: 212100210101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.334929 rounded to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + -2 + 3 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*h = 0, -5*f + 3*h - 19 = 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/60 - (-2)\/5. Which is the nearest to 0.1? (a) -3 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*u + 58 = -21, -39*i = -43*i - 9*u - 272 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -1, 1 in increasing order.\nAnswer: -19, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 38*o**2 + 7*o - 1. What is the units digit of v(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/12 + 8*t**2 - 3*t + 1. Let i(f) be the first derivative of w(f). What are the prime factors of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)*-1 + sqrt(68) - (sqrt(51)\/sqrt(3) + -5)))**2.\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -588 + 9411\/16. Let l = 5 - m. Find the common denominator of l and 105\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 3*a - 1. Let n(t) = -t**3 + 9*t**2 + 6*t + 40. Let f be n(10). Suppose f = -77*d + 81*d - 8. What is x(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 3*k**2 + 7*k + 73. Let q(x) = -3*x**3 - 4*x**2 - 8*x - 75. Determine -5*q(g) - 6*z(g).\nAnswer: -3*g**3 + 2*g**2 - 2*g - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 346789, 346787, 346785, 346783, 346781?\n\"Answer: -2*w + 346791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 83*l - 1. Let k(w) = 165*w + 1. Determine -6*k(j) + 11*u(j).\nAnswer: -77*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:23 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*x - 11, -4*m = 3*x + 8 - 15. Let y = 1 - -2. Let f = y + 0. Solve 2*a - 6*a = -f*o - 5, 0 = -3*o + 5*a - m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 + 304622*y**2 - 11595511648*y - 290078211200 = 0.\nAnswer: -25, 76168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -3*2*(-5)\/15. Solve -v + 5*v = x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -8) + 3 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from wdwdwddwwwddwwdddw?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + j = f - 6492 + 6507, -5*j - 39 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/30 + 53*g**4\/24 + g**3\/2 + 28*g**2. Is x(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -9655463609?\nAnswer: 9655463608.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 11*v**6\/20 - v**4\/6 + 952*v**3\/3 + 6*v**2 - 46*v. Find the first derivative of t(h) wrt h.\nAnswer: 198*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 4*v - 6. Let b(h) be the third derivative of -h**5\/30 + 5*h**4\/24 - 7*h**3\/6 - 2*h**2. Determine -4*b(t) + 5*d(t).\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o - 4*g, -5*g - 31 = -3*o - 0*o. Which is the biggest value? (a) -1\/17 (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 - -0.28. Let q = k + 0.09. Let i = -113\/21 + 17\/3. Sort i, q, 4 in descending order.\nAnswer: 4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -6 - 5) + 0 + -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + 10*l. Let n(r) = -15*r**2 + 19*r. Suppose 12 = -w + 9. Let x(p) = w*n(p) + 5*d(p). Find the second derivative of x(v) wrt v.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15688 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262.0001946 - 262. What is v rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 7. Let c be t(5). Suppose -3*y + c = -1. Let j(d) = -3*d**2 - 43*d - 10. What is the smallest common multiple of y and j(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*i**2 - 786\/5*i - 594\/5 + 2\/5*i**3.\nAnswer: 2*(i - 99)*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i**2 + i + 1. Let f(c) = -3*c**3 - 4*c**2 + 3*c + 3. Let h = 12 - 11. Let z(o) = h*f(o) - 2*r(o). What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12758 and -1.\nAnswer: -12759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -26, -42?\n\"Answer: -16*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 9:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 32?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28564071 is divided by 22456.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5068\/15 + 338. Let o = 23\/60 - m. What is the smallest value in 0.2, 4, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119700 divided by 1050\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14310012 (base 6) to base 13\nAnswer: -142760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 6*u + 6. Let l(z) = -10*z**2 - 13*z - 13. Let b(n) = -6*l(n) - 13*m(n). Suppose b(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 - 159. Let a = 40.8 - x. What is the nearest to a in -14, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 69, 1, -3, 0 in decreasing order.\nAnswer: 69, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/(-42) - 2\/(-8). Let s = x + 4\/7. What is the closest to s in -2\/3, -8, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*f**3 + 2 - 8 - 13*f**3 + 5.\nAnswer: 195*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 26*d**2 - 135*d + 349. What is k(-31)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 - 160*a**4 - 868*a**3 + 15136*a**2 = 0. Calculate a.\nAnswer: -11, 0, 8, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k - l, 2*k - 3*k - 5*l + 7 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2517*p - 857*p - 34434 = 452*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 123*s - 9924. What is p(78)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 2620320.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2 + 3)*(4 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -13*y + 17*y, 4*t + 4*y + 772 = 0. Which is smaller: -2618\/13 or t?\nAnswer: -2618\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8358, 10, 208 in increasing order.\nAnswer: -3, 10, 208, 8358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 2\/11, -2.7, -2\/879.\nAnswer: -2.7, -2\/879, 2\/11, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 49, 45, 39, 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3625*u - 199393. Determine i(-55).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 93*(9\/(-54))\/((-3)\/6). Is 33 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4)\/sqrt(2) + -3*sqrt(12)\/sqrt(6) + (3 + 0 + sqrt(128))*2 + 3)**2.\nAnswer: 224*sqrt(2) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176.861 tonnes in nanograms?\nAnswer: 6176861000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8862*j*u**3 - 51*j*u**2 - 17164*u**3 - 11*u**2 + 2*u - 1 wrt j.\nAnswer: -8862*u**3 - 51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, s: 2, b: 8, h: 2}. What is prob of sequence bus?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76318 - 74619 = -1466*a - 84918 - 77575 for a.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 0.22. Let p = -7 - -23. Let m = p + -15.9. Which is the nearest to d? (a) m (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, s: 1, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 774169315 to the power of 1\/2, to the nearest integer?\nAnswer: 27824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*h - 10, 0*m = -5*h + 4*m + 32. Solve r - h*r - 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 907 - -31782?\nAnswer: 32389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936560?\nAnswer: 2, 5, 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 667 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/13, 0, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t**2 + 13*t - 10. Let s(y) = 11*y**2 + 9*y - 7. Let b be (84\/16 + -3)*4. Let o be 0 - -3 - -3*(-24)\/b. Give o*f(q) + 7*s(q).\nAnswer: -3*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1091 divide 858454441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-5 + -18 + 3 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017039 years in millennia?\nAnswer: 0.000017039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2 - 112687105*c*j - 667457861*j wrt c?\nAnswer: 4*c - 112687105*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1425604 - 3.1415. What is h rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.5, 38\/11, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66647, -133293, -199939, -266585, -333231, -399877?\n\"Answer: -66646*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 2. Let n = -45 + 51. Determine p(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, w: 1, m: 3, k: 1}. What is prob of sequence mqk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.386631 to two decimal places.\nAnswer: 27.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*p**3 + 0)*(-316*p + 331*p + 0 + 3) to q*p + o*p**4 + a*p**2 + x + b*p**3 and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/9))**(-12\/11) assuming l is positive.\nAnswer: l**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -76 (c) 7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-4 - -1 - -4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 5 (b) 4 (c) -6 (d) -2\/13 (e) 238\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/1620 + p**5\/270 - 2*p**3\/3 - p**2. Let q(s) be the first derivative of k(s). Factor q(g).\nAnswer: -2*g*(g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6, -5*j - 17 = y - 3*y. Let b be y\/(-9) + (-9 - 651\/(-27)). Solve -5*v - 19 = -d - 7, -b = d + 4*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -147*b**2. Let s(i) = 12*i. What is p(s(t))?\nAnswer: -21168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7.822*-44769\nAnswer: -350183.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 147 = s, -5*s - 35 = -u - 3*s. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*g - 1251 + 54 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502171 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: Suppose -2*s - 5 - 1 = 0, 2*w = -4*s - 12. Put -1, 2, w in decreasing order.\nAnswer: 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -607 from -120095.59.\nAnswer: -119488.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210278 and 752?\nAnswer: 1682224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*t - 153 = -55, 4*t + 8 = 0. Suppose s - 28 = 4*o, -7 = 5*o - s + x. Let g(f) = f + 7. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2 + 3*u + 8*u**2 + 14 - 2*u + 15*u. What is the units digit of x(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4342 * 7.\nAnswer: 30394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102 - 212*m**2 - 102 + 3*m**2 - 3*m**2 - m**2 + 3*m - 3*m - 3*m**2 + 4*m - 4*m + m**2 - m**2 + 3*m**2 - 4*m**2 + (-m - 5 + 5)*(m - 3*m + 4*m).\nAnswer: -219*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {p: 5, y: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -564, -25, 11, 2 in descending order.\nAnswer: 11, 4, 2, -25, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1905 and -59\/118110.\nAnswer: 118110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429243 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 - 4*s - 6. Let m = 8 - 9. Let g be -1*(0 - m - 2). Suppose -g = l - 7. Let i(n) = -15*n**2 + 9*n + 13. Determine l*i(a) + 13*o(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, 662, 2826, 7042, 13994?\n\"Answer: 114*q**3 - 2*q - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18391416 by 4597854.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/57 and -10\/87.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 5 = 4. Sort -6, -4, b.\nAnswer: -6, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 6*j - 1. Let x be w(-1). Let v(s) = -33*s**2 - 287*s + 217. Let i(g) = -16*g**2 - 144*g + 108. Let u(c) = x*v(c) - 9*i(c). Factor u(q).\nAnswer: 4*(q + 13)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 15, -2, 28 in ascending order.\nAnswer: -4, -3, -2, 15, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-3)*g)\/g*g)\/g)\/g)**(-5\/7)*g*g**2*g*g**(-9) assuming g is positive.\nAnswer: g**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 1. Let m be b(2). Suppose -m = 2*n - 91. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + i - 4*i - 6 = 0, 2*m + i = -2. Let c(q) be the first derivative of -2 + m*q + 0*q**2 + 0*q**3 - 1\/2*q**4. Suppose c(d) = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2432700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -21. Solve 4*a + 9 = -5*r, -4*a - 2*r + n = -r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*r + 115 = r, -5 = -5*r. Suppose -23*p - m = -2090. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/12 - 5*j**3\/6 - 2*j**2 + 8*j. Suppose -10 = -3*w + 5*w. What is u(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 8. Suppose -52 + 25 = 3*v. What is the units digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122213 - 111?\nAnswer: -1122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.166207 + -2770091\nAnswer: -2770089.833793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:19 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -858516 * 4\nAnswer: -3434064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7431.\nAnswer: -1\/7431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10459189*c. Let f(z) = -z**2. Give a(f(i)).\nAnswer: -10459189*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) + (-22)\/(-5). Let t be -6*(2 - 1 - 2). Differentiate 4*p**3 + 2 - n - 6*p + t*p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50841?\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + x = -4, -2*b - 131*x = -126*x + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 4*u, -4*g - 5 = -3*g. Let i(p) = p + 12. Let s be i(-10). Solve -s*v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*w**3 - 121 + 121.\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387 - 200 + 1077*a - 187.\nAnswer: 1077*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43800 = -18*l + 6*l. Suppose -c - l = 4*c. Calculate the common denominator of 63\/130 and ((-1)\/(-35))\/((-4)\/c).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 78 = 32*w. Calculate the greatest common divisor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 387344\/495 - 3911\/5. Let t = 1\/11 - i. Which is the nearest to 1\/4? (a) -2\/11 (b) 2 (c) t (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -0.09. Which is the closest to -4? (a) 0.5 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4181675101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 3*y**2 - 5*y**2)*(3 - 5 + 1) - y**2 - 4*y**2 + 2*y**2 + 2*y**2 - 3*y**2 - y**2 + 5*y + 2*y**2 - 3*y - 3*y**2.\nAnswer: -7*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-3))\/(-1))\/(3\/((-3240)\/(-80)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*d + 120*d + 949399 = 0. Is 86 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.57 and 1322.\nAnswer: -70819.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 575, 861, 1147, 1433?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 19288221.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2781046, 2781048, 2781050, 2781052, 2781054?\nAnswer: 2781056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1891041 or -1891040?\nAnswer: -1891040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8846 times -0.2\nAnswer: -1769.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/8 - (-5)\/40. Let r(c) = -c**2 + 7*c - 1. Let x be r(g). What is the tens digit of 1545\/21 - x\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 291 = -3. What is the greatest common factor of 182 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 2313857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -16. Let l = -45 - u. Let x be (1 - l)*(-5)\/(-90). Which is the smallest value? (a) -4 (b) x (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:04 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35000*m**2 + 1330005*m - 190 = 0. Calculate m.\nAnswer: 1\/7000, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 20912850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from jjjjujjjuujjjjjj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 37*n. Let t be y(5). What is the greatest common divisor of 875 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141834.4km in nanometers?\nAnswer: 141834400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8426 is divided by 608?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i**2 - 5*i + 7. Let k be n(5). Suppose k = 3*s - 8. Suppose 5*f - s*m + 25 = 0, -f = 5*m - 2*m + 5. Which is smaller: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 + 2*w + 8. Let s(h) = -9*h**2 + 5*h + 17. Let k be (-150)\/20*(25\/15 - 1). Calculate k*d(u) + 2*s(u).\nAnswer: 2*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1236 and 9888.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**1*c)*c**4)**17\/(c**(1\/3)*c*c**(-1))**(3\/13) assuming c is positive.\nAnswer: c**(441\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*o - 2024 - 1597 = 607 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5.5. Let a = 0.3 + 2.7. Let r = a + -3.2. What is the second biggest value in r, -3\/2, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4721 at most as big as -4728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v + 1. Let d(g) = g**3 - 2*g**2 + g + 2. Let i(q) = q**2 + 4*q - 1. Let h be i(-4). Let c(p) = h*d(p) + 2*r(p). Factor c(n).\nAnswer: n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26073033?\nAnswer: 3, 7, 1241573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 10 - 6)*(-3 - 3 + 4)*(5*l + 41 - 41)*(-l + 2*l - 2*l) to the form d + q*l + h*l**2 and give h.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 11:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -451\/6 - -75. Suppose -r + 30 = 28. Let y be 115\/690 - r*2\/24. What is the nearest to 0.1 in u, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 6772*j + 15770*j - 2*j**3 - 2*j**2.\nAnswer: -2*j**3 + 22542*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 694248 divided by 2?\nAnswer: 347124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 3*m + 3. Let w be x(3). Let h = 7 + w. What is the smallest common multiple of -7 + 8 + h*2 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -70*z + 208. Give a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(216)\/sqrt(4)))\/(sqrt(180) - (6*(sqrt(180) - (sqrt(180) - (sqrt(180) + (sqrt(180) - -1*sqrt(180))))) - sqrt(180))) + 4.\nAnswer: -sqrt(3)\/288 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 5*r - 2. Let u be z(-2). Which is bigger: -1\/236 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*v + 400*v = 8*u - 220, -2*v - 12 - 15 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = 4*i + 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 2*p - 3127, 5*x = -2*p + 15659. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*y**3 - 174*y**2 - 23*y**4 - 34*y**3 + 23*y**3 wrt y?\nAnswer: -552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1831*j**3 - 25*j**2 - 268603 wrt j?\nAnswer: -5493*j**2 - 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 1152\nAnswer: -5\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 17*p**2 + 20*p + 9. Let b(t) = t**3 - t**2 - t + 1. Let r(a) = -6*b(a) - f(a). Let v be r(-10). Let c = v + -5. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 3*q**2 + 4*q**2)*(3*q**2 - 3*q**2 + 2*q**2) + 3*q**4 - 2*q**4 + 2*q**4 - 3*q - 3*q**4 + 3*q.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = k - 27. What is the lowest common multiple of 1 + 20 - 1 - 0\/(-13) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g**2 + 23*g**2 - 34*g**2 + (2*g + g - 2*g)*(3 - 3 - g) + 131*g**2 + 146*g**2 - 125*g**2 in the form o*g**2 + f*g + j and give o.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66351, 265415, 597173, 1061619, 1658747, 2388551?\n\"Answer: -a**3 + 66353*a**2 + 12*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = -5*v. Let g be -1 + 2 - v - -52. Calculate the highest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*m + i**3*m**2 - 17*i**2 + 3*i*m**2 + 3*m**2 + 3*m wrt i.\nAnswer: 12*i**2*m + 6*i*m**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113025?\nAnswer: 3, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97816156?\nAnswer: 2, 24454039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/29370 and -167\/3738?\nAnswer: 205590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-54)*(-15)\/(-1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.08514?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - 2*r**2 - 2*r. Let b(y) = -2*y - 4. Let x be b(-3). What are the prime factors of j(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8033229 and -7\/489.\nAnswer: 1309416327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let a(v) = 90*v**2 - 40*v - 40. Let s(t) = t**2 + t + 1. Let j(w) = -a(w) - 40*s(w). Calculate c(j(p)).\nAnswer: -16900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v + 695. Let m be l(74). Which is bigger: m or -123?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 1, 0.04, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -4 - 3)*5*934750. What is d rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and 72165162991.\nAnswer: 72165163031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*(g*g**(2\/7)*g)\/g)*g)\/(g*g\/(g*g**(-3)\/g)))\/(g*(g*(g\/((g**(-4)\/g)\/g))\/g)\/g*(g**(3\/5)\/g)\/g*g*g) assuming g is positive.\nAnswer: g**(-521\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/6 - -7\/3. Let u = -37\/4 + 103\/12. Sort 1, x, u in descending order.\nAnswer: 1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -108*y + 102*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/24*(-12)\/9*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(1\/7)*y)\/(y\/(y*y**8*y)))**(-8\/9) assuming y is positive.\nAnswer: y**(-736\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 156*j**3 - 486*j**2 - 492*j - 165 = 0. What is j?\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*u - 43*u + 920 - 921 as p*u + t and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - w**3\/6 + w**2\/2 - 4*w. What is the remainder when 1 is divided by v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24075740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from ruruee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**44*(z*z**(1\/4)*z)\/(z**(-2)\/z*z*z) assuming z is positive.\nAnswer: z**(277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/((k\/(k\/(k\/(k**(-4)*k))))\/k)*k*k*k)\/(k\/((k**8*k)\/k)))\/(k\/(k**(1\/3)\/k))**49)**40 assuming k is positive.\nAnswer: k**(-8600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 230100003002?\nAnswer: -230100002233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3293)\/(-148) - 23)*2\/4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o**6*o)**(-9\/4))**(-8) assuming o is positive.\nAnswer: o**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2 - 258*i - 21. What is the remainder when p(27) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -20, -4*g - 23 = -4*j + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/348 and -67\/812.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 755488856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/40 - 77*k**5\/40 - 7*k**4 - 37*k**3\/4 - 186*k**2 + 3*k. Determine q so that x(q) = 0.\nAnswer: -37, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1 - 5*m - m**2 + 5*m + 3*m. Let h = 7 - 4. Calculate g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31556*a*t**3 + a*t**2 + 281*a*w**2 + 9*a*w + 55923*t**3*w**3 - t**3 wrt w?\nAnswer: 562*a + 335538*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let j(h) = 9*h**2 - 4*h**2 - 2*h**2. Let m(a) = -7*g(a) + 2*j(a). Let v be m(1). Which is bigger: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1210200 + -14?\nAnswer: -1210214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*p + 9949500 = 401*p. Round p to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) + (13\/(26\/(-30)) - 995007\/(-65472)).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/((-3)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2382*w + 2377*w + 5.\nAnswer: -5*w + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 64*o = -8*o + 26810. Solve 0 = -8*w + 439 - o for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/30*8\/(-36)*33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -b - 70. Let h = 61 + b. Find the second derivative of 4*n**2 - 3*n**2 + 18*n - h*n**2 - 12*n**2 wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*x - 294 + 294 + 5*x + x + 6*x + 2*x + 2*x - 2*x + (-3 - 1 - 1)*(3*x - 2*x - 2*x))*(-x + 0*x + 2*x) to the form d*x + o + j*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 663120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 492699648 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.49 + -34.49. Let k = 33.76 + p. Let a = k + 0.04. What is the nearest to 1\/4 in -0.4, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10449 and 1647459.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7824994, 15649981, 23474966, 31299949?\n\"Answer: -m**2 + 7824990*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126479171 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 774745013 to the power of 1\/2, to the nearest integer?\nAnswer: 27834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8920.557 millennia to decades.\nAnswer: 892055.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j = 3942*j - 53625 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 - 14*f**3 + 32*f**2 - 24*f = 0 for f.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1)*30\/(-9). Calculate the common denominator of (-16)\/n - (-54)\/(-40) and -85\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 6652.837?\nAnswer: 6612.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 161 + 260 = 0. Let g = 103 - z. Solve 0 = 5*j + 5*t + 10, 0 = 4*j - t - g + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27910)\/490 + (20 - (-29460)\/(-1470))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(288) + -3)*-6 + -1*2*sqrt(288))**2 - (-3 + sqrt(288) + -4 + (sqrt(288) + 0 - sqrt(288)) + -4)**2).\nAnswer: -3192*sqrt(2) + 18349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) 1\/4 (d) 0.05 (e) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.048 - 0.0492. Let p = n - 9.9988. Which is the third biggest value? (a) 2 (b) p (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3688648?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 0.3, 11\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.04 - -0.04. Let v = 0.08 - 0.07. Which is the third biggest value? (a) -0.5 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -3 (b) 3\/7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61628407 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -182?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 386 = 97. Let x be 3 + (4 + -2 - 1). Solve 3*a + 4*y = x, 5*y = 2*a - d + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let a = 10088\/7 - 1441. Let g = -2 + 1.5. Put a, w, g in decreasing order.\nAnswer: w, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -844281 (base 10) to base 6.\nAnswer: -30032413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 + 1812*a**3 + 1900*a**3 + 1343*a**3 - 888*a**3.\nAnswer: 4218*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 + 17*c**2 - 9*c + 14. Let p be z(3). Put -1\/6, -3, p, -0.4, 0.08 in descending order.\nAnswer: p, 0.08, -1\/6, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -243*q*r*v**3 - 607*q*r*v - 2*r*v**3 - 15*r*v**2 + 1527*v**3 wrt q.\nAnswer: -243*r*v**3 - 607*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/9 - 1\/3. Let s be (k + -1)\/(-1 + 0). Suppose s*f = -f + 3. Solve 5 = -f*r - 3*n + n, -10 = -2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**3 + 41*u**2 + 9*u + 8. Let i be r(-8). Which is smaller: -4.3 or i?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.595 + 1.6. Round c to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7.08. Let z = -0.08 - g. Which is the closest to z? (a) -3\/8 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, k: 7}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:44 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 673*n**4*o + 242*n**3*o + 2239885*n*o wrt n.\nAnswer: 8076*n**2*o + 1452*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4010*n = b + 4014*n - 15, 4*n = -3*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 435 = -5*q. Let w(p) = -14*p**2 - 275*p - 161. Let b be w(-19). Calculate the greatest common divisor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2861953 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 2. Suppose 0 = -d + y, -m + 39 = 2*m + 2*d. Calculate the highest common factor of 88 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 697*n - 693*n + 51, 2*q - 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -62?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 0*v - 3*v)*(1 + v - 1)*((-3*v + v + 3*v)*(-1 + 2 + 0) + 176*v - 90*v - 100*v)*(-v + 2*v - 3*v).\nAnswer: 52*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915, 1378, 1841?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 19\/20*g**5 - 17\/12*g**3 + 1\/16*g**4 - 11\/8*g**2 + 1 - 1\/2*g + 5\/12*g**6. Find w such that j(w) = 0.\nAnswer: -1, -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + -1*(-10)\/1. Suppose -5*t + 24 = n, 4*n - l*n = -t - 4. Suppose -5*d = -5*g - 20, 5 = 2*d + t*g - 3. Solve 10 = j + d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 - 2*t**3 + 2*t**3)*(4 - 12 + 4) to the form z*t**2 + q*t**3 + c + v*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 2\/5*k**2 + 11\/15*k**3 + 3\/10*k**4 + 0 + 4*k. Find z such that l(z) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.51800752 rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-23))\/w)\/w**(30\/7))\/(w\/((w*w**(-20\/7)*w*w)\/w))**24)**(7\/2) assuming w is positive.\nAnswer: w**(-181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*n + 7)*(-1 + 4 + 1) + 2 - n - 2.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-28))\/((-90)\/80)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24457767947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3, 3143 in ascending order.\nAnswer: 2\/11, 3, 3143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, c: 3}. What is prob of sequence vg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 + 2*i - 4. Let j be o(3). Suppose 9*m - 11 = 13*m - 5*z, 3*z = -2*m - 11. Is (-12)\/m + j - 2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06089 rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - 1000?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -26. Suppose s*g - g + 90 = 0. Let j be 3298\/1 + 5*(-12)\/g. Round j to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10 = -2*k, 9*k - p = 4*k - 14. Let i = 6 + k. Suppose -16 = 2*u + 4*l, -3*l - 30 = -5*u + l. What is the smallest common multiple of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2841674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/168*7*3\/105.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381957199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.075972*4\nAnswer: 0.303888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10650.874504 + -10651. Let y = 0.126 + u. Round y to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, 36.\nAnswer: -5, -2, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0633072 millimeters in nanometers?\nAnswer: 63307.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*h + 5*h + 164 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7626 = 873*h - 1790*h + 1103*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8426449 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 19\/(-7))\/((-1386)\/(-792) - 139\/84)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -4 + 2*sqrt(1088) + (1 + sqrt(1088))*6)*5)**2*4.\nAnswer: 28800*sqrt(17) + 8813200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*c - 156*c + 2 = 0. Solve c*r + 36 = -7*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 97, 135, 189, 265?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594.6 minus -4?\nAnswer: 3598.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*w - 45 = 0, 0 = -0*l + 5*l + 5*w - 105. Let s(t) = -6*t**2 + 397*t - 51. Let v be s(66). Solve v - l = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m + 9. Let x be w(6). Let p = x + 3. Suppose 5*k - f - 9 = -p*f, -9 = -2*k - 5*f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/((-336)\/(-147) - 2\/7). Let q(d) = d - 9. Let p(j) = j. Let g(f) = 5*p(f) - q(f). Let b be g(-2). Solve -3*s + b = -h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(2\/9)*x))\/x*x)**(3\/19))**(-22) assuming x is positive.\nAnswer: x**(154\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*q - 8700, q = -2*w + 2*q + 3485. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120584163*m**4 - 2*m - 700119679 wrt m.\nAnswer: 482336652*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 53. Let g = 28 + h. Let x = g - -5. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41050.\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444*u**3*x - 476*u**2*x wrt u.\nAnswer: 2664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -764687\/36 + 21240. Calculate the common denominator of t and -97\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*(0 - 0 - 4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/((-180)\/(-90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 minutes before 11:14 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**4 + 0 + 3*g**4 + 3 + (-1 - 2 + 1)*(-3*g**4 + 2*g**4 + 2*g**4).\nAnswer: -4*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 101*y - 96. Let b(v) = -305*v + 288. Let c(f) = 3*b(f) + 8*s(f). What is the first derivative of c(a) wrt a?\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:34 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 7*p**3 - 241 + 241 + 184*p.\nAnswer: p**3 + 184*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, j: 2, g: 3, n: 1, k: 4, z: 2}. Give prob of picking 2 z and 2 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36887 + -12664. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d0 - -119d?\nAnswer: 177d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 3, -3\/2, 24?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 466 * -5\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**38)\/p*p**(-4\/7)*p)\/((p\/(p\/(p*p**21)*p))\/(p*p**(-2\/9))) assuming p is positive.\nAnswer: p**(1210\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 3605800.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -12. Suppose -m*g = -o + 6, -4*o - 5*g - 2 = -0*o. List the prime factors of 14*1\/o - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -135. Suppose v*p - 69 = -27. Let g(k) = -2*k**2 + 30*k + 6. Let n be g(15). Solve 0 = 3*d - 3, -2*t = 5*d - n - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7017419*n*q**3 + 1544*n + 31*q**2 + 4*q wrt q?\nAnswer: 42104514*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 - 4 = 0. Let o(x) = -11*x**2 + x. Let g be o(q). What is the units digit of ((-88)\/g)\/(6\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13298396, -26596800, -39895204?\n\"Answer: -13298404*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/24 - 3*l**2\/2 + 2*l. Let h(t) be the first derivative of s(t). Determine h(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - -0.11. Let l = -0.07 - -0.1. Let c be (-18)\/45*(550\/140)\/11. What is the second smallest value in l, x, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 18*n**2 - n - 6. Let y be p(-18). Solve -4*r + 0 - y = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -220154?\nAnswer: -220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (26 + -27) - -62 - -38\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 26*x - 572. Calculate the lowest common multiple of 2022 and x.\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (399 + 335 + 259 - 16 - 248)*(f - 6*f + f) in the form w*f + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -21.781500329?\nAnswer: 21.681500329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42842 + 47197. What are the prime factors of n?\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-7 + (1 - 24) + 87).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 0. Let u = x - -9. Let g = u + -2. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1058*l**5\/3 - 2438*l**4 + 214*l**3 - 14*l**2\/3 = 0?\nAnswer: -7, 0, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 11*k + 1. Let g(u) = -8*u**2 - 12*u + 1. Let d(l) = -6*g(l) + 7*t(l). Give d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let v(l) = 465238102*l. Calculate h(v(t)).\nAnswer: -216446491552562404*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 3010 = 34*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.096 and 0.288?\nAnswer: 0.027648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1152 and -101\/576?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(18) - sqrt(18)*6).\nAnswer: -15*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -28*l - 111. Let k(n) = -l*n - n**3 + 9 + 76*n - 36*n + 11*n**2. What are the prime factors of k(6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (-6 - 84\/(-6)). Solve 6*h = -4*f + h - 5, -s*f - 4*h - 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let o(b) = -6 - 5 - b + d. Let k(v) = -3. Let x(p) = -7*k(p) + 2*o(p). What is the derivative of x(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/12 (b) 3.314568 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 181. Suppose -2*j - 3*i + 5 = 0, 5*j - 4*i + 0*i = 24. Let c(s) = j*s + 1 + 1 - 3*s. What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11620374.\nAnswer: 2, 3, 47, 89, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*(-3)\/(-27) - 1. Let i = -143\/6 - -277\/12. Which is the biggest value? (a) i (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/481 in -26, -0.4, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 3. Let p be d(6). Find the second derivative of -p*b**2 + 3*b**2 - b**5 + b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277.7 - 278. What is the third biggest value in -0.1, -3, -1\/25, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/441*75 + 4\/(-6). Which is greater: r or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/(32\/((-3072)\/(-72)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113*p**2 - 5*p - 547.\nAnswer: -226*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 48\/5 (c) -63 (d) -251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 9. Let w = 1 - u. Factor 3*d + w*d**2 - 4*d**3 + 5*d - 12*d.\nAnswer: -4*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -0.2, 3\/16, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -4*d - 7*z + 2*z, 0 = -2*d + 3*z + 89. Let x be ((-126)\/d)\/(3\/(-28)). Let n = -25 - -37. Solve 0*h - 4*s + x = 2*h, 0 = -4*h + s + n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -29399*k**2. Let w(u) = -3*u. Determine w(t(q)).\nAnswer: 88197*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 10760?\nAnswer: 10753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -383307 and 0.071874?\nAnswer: 383307.071874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 + 177. Suppose -2*w + 0*g + 2 = 2*g, -4*w + 9 = r*g. Sort w, -5, 15, 0 in ascending order.\nAnswer: -5, w, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*s + 15, 3*s - 2*w - 9 = 3*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*g + 2*g. Suppose 0 = p - 58 + 39. Calculate the remainder when p is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 9*x - 10. Let u be q(-7). Suppose -u*s + 24 = 8. Factor -2 - s*l**4 - 6*l**3 - 10*l + 0*l**3 + 0*l**4 - 8*l**3 - 18*l**2.\nAnswer: -2*(l + 1)**3*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649041971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 5:53 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 307506252*o\/5 - 23640023754771876\/5.\nAnswer: -(o - 153753126)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10000000011100 (base 2) to base 4\nAnswer: -2000130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 83, 3\/7, -2\/7, 16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7026*i**3\/7 - 238929*i**2\/7 - 1779108*i\/7 - 11385\/7 = 0 for i.\nAnswer: -23, -11, -15\/2342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + 49\/28. Let l(p) = 10 - p**2 - 3 - u*p + 3*p. Suppose 2*q + 0*q - 3*i + 9 = 0, -2*q + 2*i - 6 = 0. Calculate l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22023 is divided by 1350.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-90)\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 + 5*c + 8. Let f = 920 + -930. What is j(f)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, c: 13}. Give prob of sequence cy.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1786, 3573, 5358, 7141, 8922, 10701, 12478?\nAnswer: 14253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/29 in -5, 5, 0.1, -13\/6, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:10 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-290 - 62 - 30)*(2*l + 4*l - 4*l).\nAnswer: -764*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 39, 0.4, 1.12, -12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.01, -3753, 13\/5, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from {y: 4, l: 6, j: 3, r: 6}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*860\/15. Let k = -260\/3 + f. What is the third smallest value in k, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (7 + -5 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 43 - 25. Suppose 0 = -3*h + 7*h - 36. Calculate the highest common divisor of i and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*x - 427*x + 155*x + 137*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -950, -821, -692, -563, -434?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230511 (base 6) in base 5?\nAnswer: -4110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = -c + 2*z, -z + 15 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4570 and 25?\nAnswer: 22850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 33 = -2*t. Let l = 19 + t. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/17)*l*(((l**12*l)\/l)\/l)\/l*(l\/(l\/((l\/(l**(1\/17)*l))\/l)))\/(((l\/l**(-2))\/l)\/l) assuming l is positive.\nAnswer: l**(148\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/24 - 45*p**2. Let b be (-2)\/(-4)*2\/1. Calculate j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 453574?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114460819*b**2*s - 163144056*b**2 wrt s.\nAnswer: 114460819*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15930 and 180.\nAnswer: 31860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 19*j = 4. Suppose 18 = 4*h + j. Suppose 5*a + p - 476 = 0, -3*a + a + h*p + 186 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244838, -489182, -733524, -977864, -1222202, -1466538?\n\"Answer: o**2 - 244347*o - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 141 and 35.98018.\nAnswer: 176.98018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/4 (b) -0.1 (c) -0.05 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/1012*(308\/(-12))\/7?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 24 (c) -5\/6 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/587 + -1771\/2935. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4515 + -4492. Calculate the least common multiple of 2139 and s.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477\/7847 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 2*p**2 - 16*p + 16*p)*(-5*p + 1 - 1).\nAnswer: 5*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 24, -0.3, -2 in decreasing order.\nAnswer: 24, -0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + d**2 - 5*d + 7. Let s be x(2). Is 109 + (s\/(-5))\/5 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/(q*q**(-5))*(q\/q**2*q)**(2\/19)*q\/(q**(-3)\/q)*q**(-1)*(q\/((q**2\/q)\/q))**15 assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 677314 and 17?\nAnswer: 677314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 598557.\nAnswer: 3591342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -266856.936\nAnswer: 26685.6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4689\/436 + 55\/109. Is p less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0162 - 2.0162. Let f = 3\/7 + 5\/21. Put v, -4\/7, 0.5, f in ascending order.\nAnswer: v, -4\/7, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (1 + -41)*-3 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 302632 and 44888.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 1. Let q be a(-6). Let d = 107 + q. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4330 and 50\/8227.\nAnswer: 82270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 48a660?\nAnswer: -48a65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 880 - 883. Which is the nearest to 175\/3? (a) 2\/23 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -184218, -184218, -184226, -184248, -184290, -184358, -184458?\n\"Answer: -s**3 + 2*s**2 + s - 184220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*r - 8703 = -171 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/237825 and 2\/27?\nAnswer: 713475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322121 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 40, 0.1, 8 in increasing order.\nAnswer: -0.5, 0.1, 8, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2, 2, -31\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 4. Let m(g) = -5*g**2 + 5. Let o(n) = 5*h(n) - 4*m(n). Let b(k) be the second derivative of -10*k + 0*k**2 - 1\/6*k**3 - 1. What is o(b(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let b be (-2 + 3)*(j + -1). Calculate the common denominator of -41\/18 and (10\/(-44) - b) + -2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/3 + 380*a**2\/3 + 12159*a + 23814 = 0 for a.\nAnswer: -189, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -6 - -19) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 459, 1449, 3137, 5697?\nAnswer: 9303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 17?\nAnswer: -80\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 11*j**4\/24 + j**2. Let b(t) = -2*t**2. Give p(b(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 851*z - 155. What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3168 and 4411.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10846188 and 13\/404.\nAnswer: 10846188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7570 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 4*x - 16, 2*x - 2 = -3*i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -1) + (-5402 - -5404)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.155 in -0.4, -60362\/3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (717*u + 16435 - 16435)*(-2 + 3 - 3)*(-10*u - 8*u - 8*u) to v*u + f + m*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*k - 12 = 0, -4*k = -4*i + k - 20. Let v be ((-357)\/306)\/((-14)\/4). Which is the fourth biggest value? (a) -0.4 (b) v (c) i (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/5 - (-6)\/(-15). Solve -k = -p - 0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*o**3 - 2200*o**2 - 860*o - 80.\nAnswer: 5*(o - 4)*(11*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 64\/(-480) + ((-1088)\/(-15))\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 - 3)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20532 = -14*m - 5440. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-5 + 1 + 3)*(-4*l + 4*l - 3*l**2).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 7}. Give prob of picking 3 e.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**2 + 6*f + 9. Let m(u) = 38*u**2 + 17*u + 26. Calculate -6*m(w) + 17*r(w).\nAnswer: -7*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + -3 + -1 + -4 - (1*sqrt(1100) + sqrt(11) + sqrt(176) + 1).\nAnswer: -10*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 - (-5 + -3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/(-35))*(-23)\/((-1035)\/42).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6*n + 9. What is p(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/25)\/(g\/(g**(-2\/15)*g)) assuming g is positive.\nAnswer: g**(-4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d + 5. Let n(i) = i**2 + 7*i + 4. Let a(j) = -2*n(j) + 3*x(j). Suppose 24 = -y - 3*y. What is the units digit of a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 - 1881\/7. Let w = -0.03 + -0.11. Is c greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 1\/7, 7, -5.5, 1\/18 in decreasing order.\nAnswer: 7, 1\/7, 1\/18, -0.4, -1, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/30 and -53\/1430?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120102222022212 (base 3) to base 16.\nAnswer: 7d3bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/3 - 13*f**2\/2 - 3*f + 2. Let m be l(7). Solve m*j - 9 = 4*q - 1, -16 = -5*j - q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 21*y + 34. Suppose 14 = -j + 25. Let f be d(j). Suppose -f = 3*z - 101. What is the greatest common factor of 52 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315.0437 * 8\nAnswer: -2520.3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.31. Suppose 39*s = 54*s - 4620. Let q = s + -1233\/4. Sort 3, q, 0.2, u in ascending order.\nAnswer: q, u, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = -98*v + 100*v. What are the prime factors of v?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*d - 4*d**2 + 0 - 2*d**2 + 4*d**2 - 2 + 3 to the form q*d**2 + s*d + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55309.\nAnswer: 19, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = p + 1770*l - 1771*l, -2*p - 4*l = 78 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -378, -379, -380?\n\"Answer: -h - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 5. Let s be v(-7). Suppose 0*q + 27 = q. Let k = q + s. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2, 2*y + 18 = 1030*u - 1026*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = c + 5*b, -4*c + 412 + 1328 = 3*b. Let q = c + -391. What is the remainder when 610 is divided by q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3074860 to the nearest ten thousand.\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 - 3*b - 1. Suppose 3*x - 19 = -5*k, x - k = -7 - 0. Let l be y(x). Suppose -2*f = f - l. Solve f*c = 4*i + 1 + 22, 5*i + 30 = 5*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 3, 1245752 in ascending order.\nAnswer: -36, 3, 1245752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q + 216. Does 24 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9703116?\nAnswer: 2, 3, 409, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r + 2. Let p be g(6). Let s = 871 - 868. Put p, -3, s in ascending order.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*c - 10 = 0, -5*o + 20 = -2*o - 4*c. Suppose 2*u - 2*z + o*z - 2 = 0, -z = -5. Suppose u*h = h + 30. Is 3 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 (18\/24)\/((-3)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615339.\nAnswer: 347, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236716032.\nAnswer: 2, 1291, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 4 = -3*b, r = 4*b + 4. Suppose 0 = y - 4, b*x - 4*x + y + 852 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300))*4)**2.\nAnswer: 640*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2048) + -1 + sqrt(2048) - sqrt(2048))*-2*-6 + 2*(sqrt(2048) + sqrt(2048) + (sqrt(2048) - -2*sqrt(2048)) + 2))**2 + 3.\nAnswer: -11264*sqrt(2) + 991299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 - 919*g**4\/2 + 3445*g**3\/2 - 395*g**2\/2 - 5433*g\/2 - 333 = 0. What is g?\nAnswer: -1, -1\/8, 2, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5073 + 0.0927. Sort 4, 5, -1, s, 0.2 in ascending order.\nAnswer: -1, 0.2, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 583462218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 4 - 2) + (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 3*v - 5. Let s be z(-2). Solve 8*b - 5*b - s*x + 31 = 0, -2*b = 3*x - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 5:12 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/75 + n**4\/5 - 6*n**3\/5 + 19*n**2. Suppose c(i) = 0. Calculate i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.9 + 74. Let p = g - 12.2. Let x = 1.9 + p. What is the closest to 0.1 in 0.02, x, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 45.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*v - 15, -o - 4*v - v + 21 = 0. Put o, 5, -2, 4 in ascending order.\nAnswer: -2, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/5, 0, -2\/5, 154.11, 7\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*n + 11, -o - 5*n - 58 = -65 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssneluuv. Give prob of sequence sls.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.02 + -1. Let h = -1.828474 + -0.171526. Which is the third biggest value? (a) v (b) 0 (c) 0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0.4 (c) -7 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 445952.\nAnswer: 2229760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, g: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*f = 6, -5*f + 24 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*-1)\/(28\/(-42)). Suppose 4*k + v + n*v = 0, 3*k - 3*v - 12 = 0. Differentiate -9 + 11*o**2 - o**2 - k*o**2 wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**3 + 3*m**2 - 5*m + 11. Let z(q) = 11*q**3 - 5*q**2 + 8*q - 16. What is -8*y(v) - 5*z(v)?\nAnswer: v**3 + v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/21936 and -19\/24498399.\nAnswer: 391974384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 3*l + 5*l - 4*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.02 (b) 2\/9 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/27)*n**(1\/2))**(-45)*(n\/(n\/n**(-1\/4)))**46\/(((n**(-1\/4)\/n)\/n)\/n)**(-11) assuming n is positive.\nAnswer: n**(-1337\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10*l**(3\/23)*l**(7\/8)*l\/(l\/l**(8\/5)) assuming l is positive.\nAnswer: l**(11597\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 2028*r**3 - 8592*r**2 - 452992*r + 3127296 = 0.\nAnswer: -1018, -16, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 662859752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - r + 9 = 0, 0*r = -5*b + 2*r - 42. Let s be b\/(-3 - 1)*3. Suppose 4*k - 266 = -o - 64, s = 3*k. List the prime factors of o.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423.4 + -515. Let j = 92 + g. What is the nearest to -6 in j, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/7, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 6. Suppose 5*x + 26 = 6, 2*o - 52 = g*x. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.4, -0.03, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2731\/5 - -546. Let h(j) = j**3 - 4*j**2 + 3*j + 2. Let g be h(3). Which is the second smallest value? (a) 5 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ikkkkkkikiikikgki?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let m be ((-4)\/12)\/((-1)\/6). Let k = -2 + m. Let n(s) = -5*s**2 + s**2 + k*s**2 + 2*s**2. Determine n(r(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 - 2*g**2 + 7*g**2)*(-84 + 84 + 39*g)*(0*g + 0*g + 2*g) in the form s*g**2 + k + z*g + u*g**4 + d*g**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1084*f**2 - 7*f**4 - 904*f**2 + 155*f - 3*f**4 + 55*f**3 + 40 = 0.\nAnswer: -1, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1282, 8, 5, -4 in decreasing order.\nAnswer: 8, 5, 1, -2, -4, -1282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -3\/4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4139 - 0.0861. Sort 0.03, -3, p, 0 in ascending order.\nAnswer: -3, p, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from gfgiiigg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28469.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99592.1 centuries to millennia.\nAnswer: 9959.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 65. Calculate the remainder when 13 is divided by (-45)\/(-10) + 3\/r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from kvkfgfk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let y(r) = -2*r**2 + 29*r - 37. Let a be y(12). What is the second derivative of 31*h**3 + 14*h - a*h**5 - 31*h**i wrt h?\nAnswer: -460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 132.03. Let k = v + 0.03. Let r be ((-8)\/140*3)\/(3 + (-65)\/25). Which is the second biggest value? (a) k (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58211 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18*-4446167\nAnswer: -80031006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 52 = 4*b + n, 2*b - 116 = -4*n. Let f = -21 + b. Does f = 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2. Let a(w) = -904*w. What is m(a(v))?\nAnswer: 4903296*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86951\/12 - 7250. Find the common denominator of o and -77\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*t**6 - 60*t**5 - 25*t**2 - 88*t + 2?\nAnswer: 13200*t**3 - 3600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22674, -47549, -72424, -97299?\n\"Answer: -24875*f + 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3879880 = 7*u. Suppose 19409910 = 2*i + i. Suppose -5*c + i = u. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.07*-36.5\nAnswer: 39.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -2*t**5\/15 - 2*t**2 + 8*t. Suppose 3*d - 5*d = -62. Let v(h) = -4*h - 31 + d. What is m(v(l))?\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4450038km?\nAnswer: 445003800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 15*b - 12. Let r be o(-6). Suppose -r*c - 4 = -7*c. Calculate the remainder when 30 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 45*w**4 - 39813*w**3 + 3267004*w**2\/5 + 176364*w + 59024\/5 = 0.\nAnswer: -2\/15, 17, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/7 - 29290*v\/7 - 20440904\/7 = 0.\nAnswer: -682, 29972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -941, -7291, -24357, -57443, -111853, -192891, -305861, -456067?\nAnswer: -648813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 5. Let g be m(7). Suppose -3*c = -i + 75, 59 = g*i - 3*c - 79. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2 + 4*j**2 + 5*j - 2*j**2 - 6*j - 4*j**2. Let q(f) = 1. Let x(m) = 3*l(m) - 6*q(m). What is the second derivative of x(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**4 - 3*v**2 + 10*v. Let l(p) = -5*p**4 - 2*p**2 + 11*p. Let c(q) = -2*h(q) + 3*l(q). What is the second derivative of c(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x + 198*x - 59*x - 41*x + 4*x**2 - 10*x.\nAnswer: 4*x**2 + 72*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10718173, 10718172, 10718171, 10718170?\nAnswer: 10718169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 6 = 0. What is the remainder when 5 is divided by (-4 - -3)\/(2\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 9*u**2 - 3*u - 4. Let g be l(4). Let q(j) be the third derivative of j**2 - 1\/18*j**3 + 1\/36*j**4 + g*j - 1\/180*j**5 + 0. Factor q(x).\nAnswer: -(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*(-30)\/(-16). Let z = 860.9 - 862.9. Which is the closest to z? (a) s (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 28304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 77. Let x = 2 - 1. What is the second smallest value in -4, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -0.01, 0.5, -12205, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 4. Let c be (-4 + 7)*(-2 - -3). Suppose -c*p - 13 + 4 = 0. Let n(z) = -1. Calculate p*n(v) + w(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*x - 1064 + 524 + 823*x**2 + 534 wrt x.\nAnswer: 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n - 18. Let h(i) = -5*i + 10. Let a be h(n). Let o be (4\/(-6))\/(8\/(-132)). Calculate the greatest common divisor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053289769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*r**3*w - 30*l**2*r**2*w**2 - 2*l**2*r**2 - 66322*l*r**3*w**2 + 2*r**2 - 648*r*w**2 wrt r?\nAnswer: -6*l**2*w - 397932*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4180*y**3 + 857 wrt y?\nAnswer: -12540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 8*r + 36. Calculate w(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*-3*28\/42\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000066497584 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 326*y**3\/3 - 75. Let c(g) = -3*g. Give n(c(d)).\nAnswer: 2934*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28150305637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d. Suppose 2 = 8*l - 7*l. Let g(r) = -l*r**2 + 4 + 6 + 4*r**2 + 4. Let m(j) = 1. Let n(h) = 3*g(h) - 42*m(h). Calculate n(f(q)).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -387 + 387. What is the closest to -0.3 in h, -2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1046 divided by -10388.\nAnswer: 523\/5194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787873 is divided by 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -589 - -615. Let m = 46 - 41. Which is the second biggest value? (a) m (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1419, 17044, 43087, 79548, 126427?\nAnswer: 183724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9263.83 rounded to the nearest ten?\nAnswer: -9260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-25)\/125*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 309*o**3 + 1545*o**2 - 1. Let b be c(-5). Suppose 2*j = 4*j + 410. Is j*(-2 + (4 - 1))*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -27 - (-1 - 0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -620 + 1047. Suppose r = 4*x + 159. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.42 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/12 - 2)*30. Suppose 7*r - 3*f + 53 = 9*r, 3*r + 3*f = 75. Let s = r + y. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122115 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9) - (14\/189 - 0)*-141.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 676, 3\/5, 0.1, -4\/11, -1\/5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3)\/g**(2\/3))**(-2\/7)\/((g**1)**(24\/13))**36 assuming g is positive.\nAnswer: g**(-5996\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 894210 and 229005.\nAnswer: 18778410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -0.05 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228\/20 + 12\/20. Suppose h = -3*o + 61, o + j = -h + 31. Suppose -w - 3*t = -15, -5*w - t + 83 = -20. Is w smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -122.5?\nAnswer: 120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 391814*r\/3 - 391820.\nAnswer: 2*(r - 3)*(r + 195910)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-5)\/(-30)). Suppose -q*s + 3 = -2*s. Suppose 90 = 5*k + s*m - 60, -2*m = -5*k + 150. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d - d**4)*(0 - 3 + 4) - 69*d + 69*d - 6*d**4 to f*d**3 + i*d**4 + k + j*d**2 + s*d and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*v + 8*v + 2*f, 8*v + 5*f - 17 = 6*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.03 (b) -5 (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 66 + 43 + 20*d**3 + 219*d - 109 in the form l*d**3 + m*d**2 + a*d**4 + u*d + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 30.4. Let t = b - -2.55. Let n = t + -0.18. Is 2\/3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2\/2 + 10*v - 1. Let t be s(0). Let k be (15\/t)\/((-1)\/(-8)). Calculate the highest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(5*(-9)\/(-105))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.16773 years in centuries?\nAnswer: 0.5916773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**2 + 10*d - 20. Let a(i) = -i**2 + i - 2. Let l(j) = -20*a(j) + 2*f(j). Let o(g) = -g. Give o(l(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343) + sqrt(112) + 3)**2.\nAnswer: 66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g - 112*g + 7*g**2 + 55*g + g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138632315?\nAnswer: 5, 163, 170101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 11. Let g(p) be the first derivative of 0*p + 6\/35*p**5 - 1\/14*p**4 + 2 + c*p**3 + 0*p**2. Determine n so that g(n) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from rrqhnrnaqqqq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/2))**(-23)\/(((x*x**(-1\/9))\/x)\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(-419\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y - 6*y)*((2*y - 3*y + 0*y)*(18 + 34 - 78) + 4*y + 2*y - 4*y).\nAnswer: -112*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/21 - (620\/(-14) - 1). Solve 25 + a = 14*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + b**2 - 6*b**2. Let t(q) = 9*q**2 - 2*q. Let m be (0 + (-2)\/8)\/(3\/12). Let h(y) = -y**2 - y. Let p(l) = m*t(l) + 2*h(l). Calculate p(w(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/6 and 3\/9380?\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/10 - -1)\/2. Let w = -2.6 - -2.2. Which is the fourth biggest value? (a) w (b) z (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/4 - s**3\/2 - s**2 - 3*s. Suppose 0 = -u - 9*u + 50. Suppose -u*j = -8 + 23. Give f(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2342144 is divided by 4220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 943711302 to the power of 1\/2, to the nearest integer?\nAnswer: 30720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -247 in descending order.\nAnswer: -3, -4, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 0, -i + 5*i - n - 63 = 0. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -44*h**2 + 12*h + 23*h**2 + 13*h**2 - h**3 + 24. Let r be u(-9). Is -3\/7 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 294. Let t be s(-36). Let j = 131 + t. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8. Let w be (0 + -10)\/(v\/2). Suppose 5*r + w = -5*m, 5*r + 3 = 2*m + 4. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -7, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-84))\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**2*t*y**2 + 8*c**2*t - 3555*c**2*y + c**2 - 2*c*t*y**2 - 84*c*t*y + 6*c*y**2 + 3*c*y - 108*t*y + 3*t + 1 wrt c?\nAnswer: -16*t*y**2 + 16*t - 7110*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 148\/(-185)*(-55)\/(-638)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 167 = 2*x - 7*a, 9*x - 5*a + 27 = -834 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*b = 3*b - 9, -5*v - 5*b + 5 = 0. Calculate the least common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 - 8*a - 2. Let x be s(-6). Let c = -156 - x. Let y = 85 + c. What is the highest common factor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8744.9 (b) 1\/4 (c) -4 (d) -1.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (2160\/48 + -110)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by -4718.\nAnswer: -607\/4718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - v + 478 = 473, -4*t = 5*v + 38 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 3, r: 4, t: 1, j: 1}. Give prob of sequence jnt.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jte when three letters picked without replacement from {e: 1, w: 1, t: 3, j: 6, y: 5, h: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 6*(sqrt(17) + 1) - sqrt(17))*-4 + -3*(-1 + sqrt(425)))**2.\nAnswer: 486*sqrt(17) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(475) + sqrt(475) + 0)**2.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6621 + -2823. What are the prime factors of j?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbmmbbbmmbm. Give prob of sequence mbmm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 7:21 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189074441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 951*z**2 - 35575*z + 231. Calculate p(39).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 98*w**2. Let l(y) = 10*y**2 + 7*y - 7. Let o(r) = -7*r**2 - 5*r + 5. Let u(c) = 5*l(c) + 7*o(c). What is u(t(i))?\nAnswer: 9604*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 1.3. Let o = -1.2 - g. Which is the nearest to o? (a) 4 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - -53 - (17 - 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -1\/35, 2\/15, -2, -5.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y\/(y**(9\/8)*y)*y**(-16) assuming y is positive.\nAnswer: y**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7*j - 3*g - 4 = j + 5*j, g + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.2 from 0.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 1. Let b be p(1). Let u(w) = 2*w + 1. Let v be -1 - (3 + -7)\/(-8)*-2. Let d(t) = 13808 - 5*t - 13811 + v*t. What is b*u(c) + 3*d(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.84 (c) -3 (d) 4.6 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 297*y. Let w(p) = -11*p**2. What is w(j(h))?\nAnswer: -970299*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 1150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*g = -40, -14*d - 21 = -15*d + 4*g. Suppose 34*n - 39*n - 3*u + 164 = 0, -4*n + d*u = -146. Calculate the remainder when n is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 241883, 483774, 725665?\n\"Answer: 241891*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:28 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 10*r - 8. Let d(z) = z**2 + z - 1. Let j(l) = 6*d(l) - q(l). Let g(w) = w + 11. Let a be g(-9). Is j(a) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*m + 44*m + 26*m as v + q*m and give q.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*t - 1970 = -7*t, -4*f + 1544 = -4*t. What is the remainder when f is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 482676445426?\nAnswer: -482676445425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15) + 14\/6. Let n be 4716\/684 + (h - 9). Which is the closest to -2? (a) 1.11 (b) -0.4 (c) n (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.518920467 rounded to 3 decimal places?\nAnswer: -0.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582977 is divided by 2097?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 53*g**3\/3 + 7*g**2\/2 - 12*g + 79. What are the prime factors of f(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 + 5*q**2\/2 - q - 3. Calculate j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a4 - -3?\nAnswer: 10a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87105300, 87105298, 87105296?\n\"Answer: -2*x + 87105302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 9469 and 9481 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 - 7\/((-112)\/398848)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 3. Let o be q(-3). Suppose -5 = -m - 0, o*i + 2*m = 19. Calculate the smallest common multiple of i and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose 2*z - 5*r = 36, -g*r - 8 = -z + 3*r. Let i = 43226 - 43212. Calculate the greatest common divisor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 12 - -33 - 26\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 5*b**8\/336 - b**7\/42 - b**6\/24 + b**5\/12 + b**2 - 10*b. Let p(o) be the first derivative of j(o). Factor p(h).\nAnswer: 5*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 10*h - 8. Let p(b) = b**3 + 1. Let n be p(h). Solve 7*i - 4*i - n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2736) + sqrt(2736)*1 + sqrt(2736)) + 1 + (sqrt(2736) + -2 + sqrt(2736))**2 + ((-1 + sqrt(2736))**2 + -4)*4*4)*1.\nAnswer: -624*sqrt(19) + 54677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 18 = 2*h, 11*h + 3 = 12*h - p. Let s(d) = -5*d**3 - 2*d - 1. Calculate s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 4*t**2 - 7*t - 13. Suppose -10 = -5*f - 5*l, l + 0*l = 0. Let n(r) = -9*r**f + r**3 + 45*r + 7*r**2 + 6 - 42*r. Give 7*n(y) + 3*q(y).\nAnswer: -2*y**3 - 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*k**2 - 416\/7*k - 43264\/7.\nAnswer: -(k + 208)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.19, 18, -5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/30 + 7*s**4\/24 - s**3\/6 + 4*s**2. Let f be a(-4). Solve -5 = -f*y + 4*i, 5*i = 6*y - 4*y - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -1\/40*s**5 + 0*s**3 + 0*s**2 - 4*s + 0 + 0*s**4. Determine m, given that v(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50642?\nAnswer: 2, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/10 - h**4\/12 + h**2 + 2*h. Let r(f) = 15 - 24 - 2*f**3 + 11 - f**2. Determine -5*d(c) + 4*r(c).\nAnswer: 2*c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-14)*3\/((-15)\/(-10)). Let p(x) = -10*x + 1. Let v(n) = -9*n + 1. What is r*v(j) + 2*p(j)?\nAnswer: 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192041, -382969, -573893, -764813?\nAnswer: -955729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-15)\/50)\/3*5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21 - 3)*(-1)\/(-3). Suppose -2*b + 184 = -p*b. Calculate the lowest common multiple of (b - -4)*(-4)\/8 and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a minute in seconds?\nAnswer: 2730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**3 + k**2 - 4*k. Let i(j) = 15*j**3 - 2*j**2 + 9*j. Let q = 29 - 20. Give q*n(c) + 4*i(c).\nAnswer: -3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 60 = -6*x. Let m = 0.3 - 0.1. Let c = 5 - 9. Sort c, m, x in decreasing order.\nAnswer: x, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = -j, 1 = -j + 4*a + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 37?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.7, 11, 13 in ascending order.\nAnswer: 0.7, 3, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + (-4)\/(-8). Let y = 0 - -1. What is the third smallest value in -1, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkmmkmuumuumm. Give prob of picking 2 m, 1 k, and 1 u.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112844*c**6 - 2*c**5 + 2*c**3 - 27*c**2 - 2700*c + 1?\nAnswer: 13541280*c**3 - 120*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, 25 in descending order.\nAnswer: 25, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/11 or -3.98?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -31*n + 35*n - 16, -s + 7 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 465 - 448. Suppose -4*v - 317 = -5*u, 0*u + 2*u - v = 128. Calculate the remainder when u is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7897, -7900, -7905, -7912, -7921, -7932, -7945?\n\"Answer: -j**2 - 7896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -34?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -41 (b) 3 (c) 250\/9 (d) -1\/7 (e) -0.92\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1)\/(0 + 1). Suppose 3*a = k*d - 21, -5*a + 3 = -2*a. Calculate the remainder when 44 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -366*s - 11327. Determine h(-31).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 269 divided by 8\nAnswer: 269\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 + 145. What is the tens digit of (-9 + 12)*(m - -384)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1493, 1529, 1565, 1601, 1637, 1673?\n\"Answer: 36*m + 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 196 (b) 54 (c) 1\/11 (d) -130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 + 4181. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4735*c - 3477 = -4738*c. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -2. Let d = i + 6.7. Let o = d + -0.2. Sort o, -3, 3 in ascending order.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 - 5*s**3 + 37*s**2\/2 + 53*s + 117\/4.\nAnswer: (s - 13)*(s - 9)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tccoctczct. What is prob of sequence ttzt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127023 is divided by 6351.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 - 2*r**2 - r - 11. Let m(k) = 6*k**3 + 3*k**2 + k + 16. Determine -5*m(g) - 7*q(g).\nAnswer: -2*g**3 - g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 109\/8070525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c - 2*d - 35 = 47*c, 0 = c + d - 5. Solve 22 = -2*i - 2*y, 0 = -9*i + c*i - 2*y - 32 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 95234 and 18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 165 = -5*m + w, 0 = -m + 5*w + 3. Let n = -26 + m. Differentiate 5 - g**2 - 15 + 5*g**n - 4 with respect to g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let s(w) = -w**3 - 10*w**2 - 10*w - 11. Let z be s(-9). Is z equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/8, -10\/11, -0.3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16846 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 57, 3\/5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:20 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 21\/20*b**5 + 1\/2*b**2 + 0 - 1\/6*b**3 - 2*b - 1\/6*b**4. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 - 26*b - 202. Determine w(-6).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -379. List the prime factors of v.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -100, -98, -96?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 449 + -489. Let j be i\/24 - (-8)\/(-6). Let u(t) = 3*t**3 + 6*t**2 + 11. Let h(z) = z**3 + 2*z**2 + 4. Give j*u(k) + 8*h(k).\nAnswer: -k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:09 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1022006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhc when three letters picked without replacement from {j: 4, h: 1, r: 1, l: 2, c: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*d - 608 + 608 to p*d + o and give p.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2037 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 4*c + 16. Let d be z(-6). Suppose f = 4*a - 4 + 3, -3*f + d*a = -5. Is 40\/60 + 115\/f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 15. Suppose -b*h - o = 1, 0*h + 2*o = 3*h - 2. Suppose h*m = -m + 99. Calculate the greatest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-6)*q)\/q)\/(q*q**0*q))\/(q**(1\/2))**(-15\/4) assuming q is positive.\nAnswer: q**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.208 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) 0.5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.775 days in minutes?\nAnswer: 9756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - 10.5. Let i = -11.5 - q. What is the smallest value in i, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4415364l to millilitres.\nAnswer: 441.5364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j*k**3 - 5*j*k + 3882*j + 2781*k**5 - 5*k**3 wrt k.\nAnswer: 36*j*k + 55620*k**3 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -2 - 26\/30. Let w = 32543 + -423061\/13. Which is the fourth biggest value? (a) w (b) -4\/17 (c) 3\/8 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3 + 2 + 0 + 6 - l. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183316.\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 187771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*c - 79 + 137 = 80, 5*w = -9*c - 47 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d - 2. Let q be y(2). Let i = q - 6. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 + 7*n - 8*n + n**6 - n - 61*n**2. Let j(c) = -c**6 - c + 1. Let w(k) = 6*j(k) - 3*l(k). Find the third derivative of w(p) wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(-5 + (sqrt(7) - (1*sqrt(49))\/sqrt(7)) - (sqrt(84)\/(sqrt(48)\/sqrt(4)) + (sqrt(7) - (sqrt(700) + 1)))).\nAnswer: -8*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -125, 851, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37893.5 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 4 - (154 + (0 - -2)). Let s = l + 197. What is the greatest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10245 + 10247. Sort l, -89, 13 in increasing order.\nAnswer: -89, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, w: 9}. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(31\/(-1116))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16914 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-12)*(-10)\/105\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3859 (base 12) to base 13\nAnswer: 2bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2769, 11085, 24947, 44355, 69309, 99809?\n\"Answer: 2773*s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4606\/1127 + (-26)\/299.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:10 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -59. What is the closest to m in -2\/13, -0.2, -9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 81 - 4 = 0. Let g be (2\/(-2))\/((-4)\/48). Suppose g*o - f*o = 290. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40961 is divided by 8185.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 31*u. Suppose u = 495*n - 494*n - 4547. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**4 - 27*c**3 + 7*c**2 + 13*c - 10. Let n(d) = -d**4 + 14*d**3 - 4*d**2 - 6*d + 5. Let g(v) = 7*n(v) + 4*p(v). Determine l so that g(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*i, 120*i - 119*i - 5 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -2.76 (b) 2\/3 (c) 4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/9)*i))\/i)**(2\/3)*(i*i\/(i\/i**(-1)))**(-8\/3) assuming i is positive.\nAnswer: i**(-14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (159 - 153) + (-1 - 2). Solve 0 = -g - y*i + 13, 5*i = 96*g - 91*g - 25 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-2303)*(-10857)\/(-154).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 66*o**2 - o + 2*o - 4 + 2. Let w be 3\/(-27) + 50\/45. Is 17 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6) + -4 + (1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16302 in -39\/7, -19, 8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 175. Let i = c + -9. Let w(r) = 2*r**2 + 2*r - 3. What is the remainder when i is divided by w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 9*g - 7. Let i = -5 - -10. Let u(j) = -j**2 + 4*j - 3. Suppose 2*d + 0*d = -m + 6, 3*m + 3*d = 6. What is i*u(k) + m*h(k)?\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*j - 109*v + 11 = -485*j + 212 + 270, -4*j - 8 = -5*v for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, z: 1, q: 1}. Give prob of picking 1 t and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 35. What is the derivative of -2*x**2 - x**2 - v*x**2 - 11 wrt x?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**2 + 2*s - 28. Let u(v) = -26*v. Give g(u(r)).\nAnswer: -6084*r**2 - 52*r - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:09 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 10*q**2 + 3. Let s(m) = -15*m**3 + 39*m**2 - m + 11. Let u(z) = 22*j(z) - 6*s(z). What is the second derivative of u(h) wrt h?\nAnswer: 12*h - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - -1 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 11\/3)*3. Suppose h*n - 39 = 283. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + -3 + sqrt(1008) + 2.\nAnswer: -1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 18*a - 3. List the prime factors of c(6).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 2*k + 1. Let m be r(1). Let t be (9\/6)\/((-3)\/(-10)). Solve 12 = -t*g + m*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n + 30. Let x be k(0). Suppose x*y - 34*y + 4 = 0. Let z = -0.21 + 0.61. Which is the closest to y? (a) -0.3 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3 + 3)*(2 - 8 + 2)*(-1 - 4 + 4)*(-5*v + 0*v - 8*v)*(4 - 4 - 6).\nAnswer: -624*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2461 and 6.\nAnswer: 1.4766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-264)*-11*(-55)\/((-3135)\/(-17613)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Let o = y - 0. Let z(h) = 2*h**2 - 3*h. Let l be z(o). Solve 2*x - l = 3*q, -3*q = 2*x + 1 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 11*l - 2. Let p(z) = -11 - 15 + 10 + 5*z**l - 11*z + z**3. Is p(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/6)\/(1\/4). Let l = -30 + j. Solve l = d - 0 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2\/2 + 5*v + 5. Let i(o) = -o**2 + 70*o - 1100. Let f be i(46). Determine d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/6 + 695*d\/6 + 1375.\nAnswer: -5*(d - 150)*(d + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-15) - 5\/10. What is the closest to 0.1 in -0.4, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1282 + -762. Suppose -4*d = -2*v + n, 4*v - 320 - 765 = -d. Suppose -4*c + v = c. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.019 and -23.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmxggggxgggzgxx. What is prob of picking 3 g?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 106*s + 4. Let d(u) = -212*u - 7. Determine -3*d(x) - 5*h(x).\nAnswer: 106*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*i - 721*i - 75 = 0. Solve -x = 4*t - i, -t - 4*t = x - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12526 >= -325651\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3600*a**4*g - 3*a**4 - 30*a**3 + 6*a**2*g + 1109191*a**2 wrt a?\nAnswer: 86400*a*g - 72*a - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 18 - 42. Let m be (y\/4)\/((-2)\/(-4) + 0). Let k = 2 - 2. Which is the nearest to 2\/7? (a) m (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 44 = 1106. Put 5, -1, -4, k in decreasing order.\nAnswer: k, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 16, a - 9910 + 9914 = n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12\/25 of a day?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4 = 0, -247*l + 252*l + 15 = 5*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, o: 2, z: 5}. What is prob of picking 2 z?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/3)*l)\/l)**(-41)\/(l*l**(1\/2))**39*l\/(l**(-7)*l)*l*l*l\/(l*l**2)*((l\/l**2)\/l)\/(l\/(l*l**(-4))) assuming l is positive.\nAnswer: l**(-755\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 4, -3*q - 5*y + 2 = 0. Is 30 a factor of 4\/8*(145 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*u**4 + 2*a*u**3 - a*u**2 - 211*a - 146237*u**4 - u**3 + 2*u**2 + 11 wrt u?\nAnswer: -24*a*u + 12*a - 3509688*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 + 4*f - 4. Let u be z(2). Find the first derivative of u - 9*n**4 - 5 + 0 wrt n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2555 (base 6) to base 13\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/5 + (-2736)\/2520. Put s, 2\/5, -3 in ascending order.\nAnswer: -3, s, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**3 + 1698*p**2 - 10824*p - 17472.\nAnswer: -3*(p - 182)*(p - 8)*(3*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -1\/7 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = t + 165, 3*t + 118 = -5*s - 157. Suppose -4*b - 4 = -0. Is (s\/20)\/(b\/8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8139155 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-2))\/((-54)\/((-48)\/(-8))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1050 and -53\/11670?\nAnswer: 408450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/84)\/(1*2\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 3807?\nAnswer: -3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4410 by 5.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ce2 - -3?\nAnswer: -5cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(260)*-2 - sqrt(260) - sqrt(260))\/((-2*sqrt(10) + sqrt(10))*4))\/(((sqrt(108)\/sqrt(3))\/sqrt(6))\/(1*sqrt(300))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -23162*h - 138842. Let m be z(-6). Let n be (4\/6)\/((-3)\/(-117)). What is the greatest common factor of m and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23212320 - -10?\nAnswer: -23212310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -5, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 3*j**2 - 3*j + 1. Let d(s) = 7*s**3 - 6*s**2 + 5*s - 3. Let t(o) = -3*d(o) - 5*x(o). What are the prime factors of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 + 3776*z**3 - 213132*z**2 + 2444584*z + 13429088 = 0. Calculate z.\nAnswer: -998, -4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38494107?\nAnswer: 3, 29, 147487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 89. Put -1, -12, 1, r in increasing order.\nAnswer: -12, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 5 (d) 238 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - a - 40 = -13, 22 = 4*h - a. Solve h*k + 3 = -22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 19 + -10 - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -24, -41, -62, -87, -116?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*y - 4. Suppose -5*a - 3 + 16 = y*m, a - 5*m = -3. Solve -7 + 3 = a*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31755470 divided by -6351094.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4232, 4270, 4322, 4388, 4468, 4562, 4670?\n\"Answer: 7*d**2 + 17*d + 4208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2140023 (base 6) to base 4.\nAnswer: 121330233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 844 + -846. Sort -5, 4, p, 11 in decreasing order.\nAnswer: 11, 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -1 - 8. Suppose w*f = -s - 7, f - 4*s - 3 = -1. Let c be f + 5\/(10\/8). Which is bigger: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 776301?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -70. Let j = f - -18. Calculate the least common multiple of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(34170\/5896))\/(((-2)\/(-15))\/(3\/10))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let v(r) = 32*r - 1. Let g be v(l). What are the prime factors of 2\/5 + g\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 8\/7 (c) -3 (d) 0.1 (e) -5.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2151.6 litres?\nAnswer: 2151600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, -210, -275?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20068567 + 20068657.000194. Let u = c + -90. Round u to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:51 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = 15*n - 132*n + 414 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 5 (c) 8 (d) -5\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:42 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1106 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Suppose 0 = -5*n + 2*n. Suppose 2*d = 5*g - 0*d - 12, 4*g - 3*d = 11. Let w(f) = 3*f**2 - 4*f**2 - f**2 + n*f**g. Give v(w(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 56214?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 - (0 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*l = 1, 109*l = x + 106*l - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(720)*2 - sqrt(5)) + -1) + 4)**2 - ((3*sqrt(220))\/(-2*sqrt(275) + sqrt(11)) + -5).\nAnswer: -688*sqrt(5)\/3 + 66131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - 3*o - 3. Suppose 136*b + 580 = 107*b. Let k(n) = 2*n**3 - 10*n**2 - 10*n - 10. What is b*a(c) + 6*k(c)?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1 - (2 - 3)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17412 - 16820. What is the greatest common divisor of 512 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 19608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 0.2 (b) 0 (c) -10 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39645 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1753*m**2 + 9*m - 9*m.\nAnswer: 1753*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = 0, q - 11 - 6 = -3*g. Let d be ((-468)\/65)\/((-2)\/g). What is the tens digit of (-2 + -10)\/((-8)\/(2208\/d))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 13)\/((-4)\/(-6)). What is the highest common factor of 90 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n. Let t be k(-2). Let l be (-6)\/8*(-17 + 1). Let g = l + -7. Put g, t, -4 in increasing order.\nAnswer: -4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 40*p - 24. Suppose p*c + 195 = -5*i, 8*c + 255 = 3*c - 4*i. Which is smaller: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhha. Give prob of picking 1 h and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1673, -1700, -1775, -1922, -2165, -2528?\n\"Answer: -4*l**3 + l - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20043657 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: Let v = 33876 + -31540. Calculate the least common multiple of 80 and v.\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)*x*x**5)**41 assuming x is positive.\nAnswer: x**(656\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*q + 61 = 0, 4*q = f + 5*q + 56. Let h = -38 - f. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 9) + 14 + -6 + -22 + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytttttytt. Give prob of sequence ttt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -1, 2, 1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 - 2)*(31 - 31 - 12*n**3).\nAnswer: 192*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 37. Suppose -3*q - 4 = 4*g - 0*q, 0 = g - 4*q + 1. Put g, -2, t in descending order.\nAnswer: g, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2819*n**2 - 4*n + 4. Let h(a) = -5634*a**2 + 7*a - 7. Determine -4*h(b) - 7*v(b).\nAnswer: 2803*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 82.17, 4, 0, -195, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 42\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 453 = 3*i, 0 = -2*i + z + 243 + 44. Suppose 9*n + 128 = i. Suppose -3*p + 8 = -28. What is the closest to -1 in p, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*x + x**2 - 21 - 641*x + 215*x + 314 + 210*x in the form o*x**2 + q + b*x and give q.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m - 3 + 3)*((-m + m + 2*m)*(-m - m + m) + 7*m**2 - 6 + 6) as v*m**3 + q + i*m**2 + f*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 + 1 - 9)*(-5*t + 0*t + 4*t)*(-t + t - 2*t - 1) to the form f + q*t + a*t**2 and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, -2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/37 + -43\/222. Which is the nearest to f? (a) 2\/19 (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119.924 + 0.076. Let v = 115.1 - r. What is v rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-44)\/297*(1 - (-55)\/(-40)). What is the nearest to k in -4, 1, 142, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*c**2 - 167*c**5 - 25*c**5 - 5*c**2 wrt c?\nAnswer: -11520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*t = -254*t + 220 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 4*p + 3*p)*(-48 + 27 + 39)*(2 - 3 - 3) to the form i + g*p and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201254647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 15 + 40*l - 1\/2*l**2. Let d be k(21). Calculate the highest common factor of 57 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*p - 2703301 = -286558. List the prime factors of p.\nAnswer: 3, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -v - 7, -3*v + k = -k + 7. Let x = -0.7 - -0.5. What is the closest to 0.2 in v, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285.29 + 0.29. Let z = h - -285.00000193. Round z to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*g - 106. Suppose g*o = 36*o - 87. Solve -5*h = -h + 16, 5*b + h = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005059921857 to 7 dps.\nAnswer: -0.0000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*c = -c - 20, -2*s = 3*c - 8. Solve 0 = -i - s*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -d + 57, -88 - 2 = -5*w - 5*d. Suppose -6*o = -2*o - 20. What is the remainder when w is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11) + (-5 - (-5 + 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + -1 + 4 + 0. What is the remainder when -275*z\/(-21)*(-9)\/(-15) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*f + 103284 = -1935*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*s**3 + 454*s**3 - 222*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j**3 + 63*j**3 - 2 - 62*j**3.\nAnswer: 40*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/368 and -107\/506.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -4*j - 4*o, -3*o = -5*j - 0*o + 645. Suppose 5*x - j = -2*p, -3*p - 37 = -5*x + 82. Suppose -3*q - 2*q + x = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 1 - 1)*(f - 2*f + 3*f) + 0*f**2 - f**2 + 3*f**2 + 0*f + 2*f**2 + 4*f + 2*f.\nAnswer: 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2944\/7 or 420?\nAnswer: 2944\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1\/2*k**2 + k + 6. Let l be z(20). Do l and -20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338183383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.6 + 1.4. Let x = 14.2083 - 0.0683. Let t = x - f. Round t to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 63289680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*-31*(-30)\/10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3984.3 + 2685. Let o = x - -1299. Let w be 3\/4*(-8)\/(-15). Which is the second smallest value? (a) o (b) w (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(3*t - 3*t + t**2) - 2*t**2 + 0 + 0 + 0*t**2 + 4*t**2 - t**2 - 3*t + 383*t**2 + 10*t - 379*t**2.\nAnswer: 6*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p**2 + 2*p**2 + 7*p**2. Let d(i) = -15*i**2. Determine -4*d(l) + 14*o(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-4)\/sqrt(9) - (sqrt(13) + sqrt(13) + -4 + 5)) + ((5*sqrt(637)*-2)**2 - (-4 + (sqrt(637)*1 - sqrt(637)))**2).\nAnswer: -6*sqrt(13) + 63683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-44)\/20 + 2). Which is the smallest value? (a) -0.2 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -445 - -473. Suppose -177*k + 163*k + h = 0. Solve 0 = -5*y - 5*w + 20, y = w - 2 - k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 4. Let w = 124 + -117. Let o(v) = -9*v - 7. Let g(s) = w*p(s) + 4*o(s). Let b(i) = 4*i. What is g(b(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/3? (a) -34\/327 (b) -2 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31597?\nAnswer: 19, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.4770788 months?\nAnswer: 0.01230899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0209 - 0.0247. Let u = g - -0.04884. Round u to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 88*f + 8894. Let i be g(-60). Do 763 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47629 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(11\/6)*v)\/v)*v*v**(-7) assuming v is positive.\nAnswer: v**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t + 64 = -2*x, -5*t = -4*x - 100. Let k = x - -42. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:18 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/11 + 1698*b\/11 + 82340\/11 = 0. Calculate b.\nAnswer: -46, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*f**4 + 27135*f**3 - 21672*f**2 + 4332*f.\nAnswer: -3*f*(f - 361)*(5*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -27. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1993 or -1990?\nAnswer: -1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23912*z + 11*z**3 + 24*z**3 - 71725*z + 23900*z + 23913*z.\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.5, 0.1, 1\/9, -4\/3375?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -721*v**3 + 2*v**2 + 4*v + 1199. Let x(o) = 2164*o**3 - 7*o**2 - 14*o - 3600. Let u(c) = 7*g(c) + 2*x(c). Find the first derivative of u(r) wrt r.\nAnswer: -2157*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 3*i + 2. List the prime factors of z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + -139?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8064 + 8073. Let f(j) be the second derivative of 0 - 1\/6*j**3 - 9\/2*j**2 + 1\/12*j**4 + d*j + 1\/20*j**5. Give f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.18 + 5.\nAnswer: -34.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = 7*d. Solve 0 = t + 5*j + 29, -t + d*t + 3*j + 27 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -7.3. Let r = k + -6. Which is greater: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0.256283?\nAnswer: -0.1793981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/15378 - 625591\/30756. Let c = q - -386\/11. Which is greater: 16 or c?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/h*h*h**0*h*(h*h**(-6))\/(((h**(-3)*h)\/h)\/h))\/((h**2)**39*h*h**(-3)*h*h**7) assuming h is positive.\nAnswer: h**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3 + 1923. Let q(d) = 63*d**2. Determine q(s(f)).\nAnswer: 567*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 3, p: 2}. Give prob of sequence ssip.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 0*r - 4*r - 8*r**3 - 26*r**3 to the form s + j*r + h*r**2 + f*r**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 81. Let o be (-8)\/j + (-132)\/(-30). Let i(s) = s**3 - 3*s**2 - 4*s - 3. Give i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14833, -15757, -16681?\n\"Answer: -924*f - 13909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30725 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 7 - 12 + 34)*(-99245 - 394*b + 99245) to n + t*b and give t.\nAnswer: -16548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 56 - 129 = 0. Calculate the remainder when c is divided by 4*(4\/(-1))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0, 1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8798338*d + 11550168*d + 19267223*d.\nAnswer: 39615729*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - i = -6, 4*c + 26*i = 3*i - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3714.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -2 + -12 - (-8 - 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43005398 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**5*w - 2*h**3*w + 120*h**2*w wrt h?\nAnswer: -300*h**2*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:26 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019631952 rounded to seven decimal places?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*z**2 + 69*z**2 + 63*z**2 - 2*z**2 + 2*z**2 + 2*z**2 + (0*z + 4*z - 3*z)*(0*z + 0*z - z).\nAnswer: 105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31 = -c + h, -5*c + 199 = -2*h. Let -c*o + 4*o - 25*o - 4*o**2 = 0. Calculate o.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 56, -4, -1 in descending order.\nAnswer: 56, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 20. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 39 + 51. Let i = -1\/7 + -5\/14. Which is the closest to i? (a) -2\/13 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/72 + 38\/18. Find the second derivative of -6*j**q + 7*j - 4*j**2 + 3*j - 11*j wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*(a*a**(-19))\/a)*a*a*a**(-2\/79))**15)**(5\/14) assuming a is positive.\nAnswer: a**(9300\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*c + 376*c - 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*s - 198294, 4*i - 2140*s - 264392 = -2137*s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, 1909, -8.\nAnswer: -8, 3.1, 1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-24)\/60)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2711 divided by -556\nAnswer: 2711\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, 0, 418\/15, 0.1 in decreasing order.\nAnswer: 418\/15, 0.2, 0.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -236883*v**4\/4 + 1302435*v**3 - 14312877*v**2\/2 - 50985*v - 363\/4 = 0.\nAnswer: -1\/281, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 0 + 7 - 9. Calculate the remainder when 20 is divided by a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73615, -147217, -220817, -294415, -368011?\nAnswer: -441605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (1 + -8 + 0 + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/50 and -3 - 3\/(-5)*(-568)\/144.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 23*t - 30. Let x be u(-11). Let q = -14 + x. What is the highest common divisor of 44 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 210633*y + 1 - 210643*y + 421278*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 14*f**2 - 7*f + 6. Is o(13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 0, -5, -4, -27.\nAnswer: -27, -5, -4, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:38 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/(((-5)\/10)\/((-2)\/8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzk when four letters picked without replacement from {z: 9, k: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, 78, 4, -59 in descending order.\nAnswer: 78, 4, 1, -1, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111805 is divided by 55885?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-33)\/m)\/m)*m\/m**(-9\/10) assuming m is positive.\nAnswer: m**(379\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)*(-2 + 3). Suppose 3*z - 2*z + 1000000 = t. Let j be ((-4)\/(-10))\/(4\/z). What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 - 0.24. Which is the nearest to 0? (a) 3\/2 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-24*n + 12 - 13 - 29*n).\nAnswer: -53*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - 582?\nAnswer: -59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2342 + 7028\/3. Determine h so that 0 + m*h**3 + 0*h**2 - 2\/3*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 2. Let h(j) = -4*j + 1. Let c(f) = 4*h(f) + 3*m(f). Let b be c(-8). Suppose 2*k - 3*x = k + 14, k - 5*x = b. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709927, 709923, 709917, 709909, 709899, 709887?\nAnswer: 709873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14*5\/((-70)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -1 - (2 - 3\/(-3)). Does 7 divide (1 + l)\/(2\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - 7*o + 2. Let b be k(-6). Suppose 7*x - 3*x - b = 0. Suppose 6*n = n - 5*t + 290, 70 = n - x*t. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 1. Let p be u(6). Let q = p + 1. Let f = q - -5. Sort f, 5, 1.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 3 - (-3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14211800 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 3*h**2 - 4*h + 4. Let y be d(-4). Suppose -2*a = -m - a + 6, -2*a = 2*m + y. Let q(b) = 4*b - 1. What is the units digit of q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/3 - -2)\/(3\/(-63)). Let d(v) = 13*v - 59. What is the remainder when 99 is divided by d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2399123004 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/143 and -103\/227084?\nAnswer: 227084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - -2.61. Let j = 1 + -4. What is the third biggest value in j, k, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12061551 rounded to the nearest 1000?\nAnswer: -12062000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(3*x - 6*x - 9*x + (-1 - 1 + 0)*(2*x - 4*x + 3*x)) + 0*x - x + 3*x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0233822132 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176401 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 13 - 3*w + 7 + w**2.\nAnswer: w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -18123287\nAnswer: -1\/1394099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 3*u**2 - 3*u**2)*(u**2 + 59*u**2 + 26*u**2).\nAnswer: 86*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*j*t - 2*i*j + 1187*i*t**2 + i*t + 26*j*t**2 - 16*j*t - 3*t + 8 wrt t.\nAnswer: 2374*i + 52*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*d + 97*d = 168*d + 7544 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r - 3*d + 18 = 0, -5*r - 4*d = 7. Put -2, 3, r in decreasing order.\nAnswer: 3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5\/4, 262, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13778 - 13777.9. Which is the second smallest value? (a) 5 (b) 0 (c) -1\/16 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -176*b + 1932. Let w be a(11). Is w != -238\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*t + 26*t + 31*t)*(-2*t**2 + 1 - 1)*(0 + 2 + 0).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -118. Suppose -u = 3*y - j, 3*u = -2*y - y + 21. Solve 3*v = 4*k + 15, 5*v - y - 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 88*y + 14. Is u(18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1529, -1890, -2481, -3296, -4329, -5574?\nAnswer: -7025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a**2 + 14*a - 54. Let o(x) = 2*x**2 + 3*x - 11. Determine -3*f(v) + 14*o(v).\nAnswer: -2*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -179953, -359926, -539899, -719872?\n\"Answer: -179973*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -17*x**3 - 511*x**2 - 30*x = 0.\nAnswer: -30, -1\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/21, -2, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 129*t**3 + 410*t**2 + 71*t - 1. Calculate x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 985, 3938, 8861, 15754, 24617, 35450, 48253?\n\"Answer: 985*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 113555204.\nAnswer: 5\/113555204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)*2)\/(sqrt(20)\/sqrt(32)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39*((-1)\/9 - 770751\/(-81)). Let n = 2598902 + y. What is n rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(363) + 2*sqrt(363))*3.\nAnswer: -9 + 297*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081948033 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + k + 2. Let a be u(3). Let v = 3877.1 + -3877. Sort a, v, -0.3, -0.2.\nAnswer: a, -0.3, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 5*d + 2*d**2 - 4*d + d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 223, 291, 385?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + 2*l**2 - 2*l**2)*(-l - l - l) as k*l**2 + n*l + t*l**3 + w and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 + 7 - (-27 + 1 - -12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*o + 33744 = -81*o - 322*o for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 - -0.0791. Let i = p - 0.058102522. What is i rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407.\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaza. Give prob of sequence za.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2. Suppose -4*z - 5*p = z - 15, -2*z - 5*p = 0. Let c(l) = 5*l + z*l - 12*l. Calculate t(c(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(8)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - j - 6, -7 = a - 2*j + 2. Let i(r) = -r + 1. What is the smallest common multiple of 8 and i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6028, -23552, -52748, -93616, -146156?\nAnswer: -210368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-42)*v**(-27)*v**(-1\/4) assuming v is positive.\nAnswer: v**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 + 15*z**2 + 61*z\/2 + 46\/3.\nAnswer: -(z - 92)*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346675\/12 - 28887. Calculate the common denominator of 73\/1052 and q.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5 + 1. Let j = 97 + -1. Suppose j - 300 = -w*m. What is the remainder when m is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9 = -4*g - 15, 5 = 5*g. Let q(j) be the third derivative of -j**5\/60 - 3*j**4\/8 - j**3 + j**2. What is the units digit of q(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72748911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10967153*g + 14 - 14.\nAnswer: 10967153*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*t + t + 45 = 0, -4*f = -5*t - 36. Suppose -g = -3 + f. Let v be g\/(-15) + 16\/10. What is the highest common factor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 + f**2\/2 - f. Let s be n(6). Suppose 3*b - s*b = 4. Which is greater: -1\/26 or b?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145601751607 - 6*c - 145601751607.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77))\/sqrt(7) + (sqrt(891))**2 + -2.\nAnswer: 5*sqrt(11) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 9*t - 506. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, r: 1, y: 4, e: 1}. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*n = -1 - 3, 3*m = 5*n - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = k + 4*k - 127, -85 = -3*k - v. Suppose -5*h + 8 = -k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677371 is divided by 84667.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, i: 1, n: 1, x: 1, b: 2}. What is prob of sequence bx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36 = -12. Calculate the least common multiple of 22\/(-77) - (1 + (-163)\/7) and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123162 is divided by 30688?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723028766 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v - 8 = 0. Let l = v - -4. Let x(d) = d**3 + 0 + 3*d**l - 10*d**2 + 9. Give x(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18166261 - 22294770.2. Let v = -4128611.200178 - w. Let g = v - -102. What is g rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*b + 6*b. What is the greatest common divisor of 95 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*t**2 - 220*t**2 + 467*t**2.\nAnswer: 527*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 + -240. Is 35 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/20 - 103\/140. Let a be 0\/1 - 4\/(-14). What is the nearest to s in -0.5, -3, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 159*f**3 + 12*f**2 + 62*f + 5. Let u(y) = -79*y**3 - 7*y**2 - 32*y - 3. Let z(r) = -5*u(r) - 3*w(r). What is the second derivative of z(q) wrt q?\nAnswer: -492*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 476966, -3 in increasing order.\nAnswer: -14, -3, 476966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thw when three letters picked without replacement from ttfjttfttttttttwfthw?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/y**(2\/23)*(y\/(y\/y**(-1\/8)))\/(y\/y**16*y))**21 assuming y is positive.\nAnswer: y**(14637\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -211*g - 71. What is n(-2)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3 + 6. Suppose -z*g = -g - 20. Suppose 5*p = -5*a + 45, -3*p + 5*p = -5*a + 30. Solve -r - g = a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 2183644\nAnswer: 13101864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ikxxzixiii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlllllll. Give prob of sequence lll.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018106898 to seven dps.\nAnswer: -0.0001811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10066, 10039, 9970, 9841, 9634, 9331, 8914?\nAnswer: 8365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/5 + 4212816*a\/5 + 8425616\/5.\nAnswer: 4*(a + 2)*(a + 1053202)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*b**6 + b**5*t - 4*b**2 - 2*b*t + t wrt b.\nAnswer: -8040*b**3 + 60*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2203302422 - 1?\nAnswer: 2203302421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j + 2. Let p be d(-9). Suppose c - 2*k = 0, -p*k = -3*k. Solve c = 4*x - 3*l + 24, 0 = -5*x - 4*l + 4 - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789906 less than 4?\nAnswer: -5789902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 + 76*w**3 + 788*w**2 - 5628*w - 42336 = 0. Calculate w.\nAnswer: -7, 9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*l + 4074 + 126 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270156 is divided by 12269.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 21633527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {y: 1, m: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 415*v**4\/4 + 145*v**3 - 426. What is the third derivative of g(r) wrt r?\nAnswer: 2490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4)**23 assuming s is positive.\nAnswer: s**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17\/3, -2\/7, -4.6, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/2 (b) -306 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i - 108. Give q(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r**3 - r**2 + 3*r - 2. Determine h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -905c0 (base 16) to base 8.\nAnswer: -2202700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17672\/9 + 1959. Calculate the common denominator of -38\/9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-388 - 1978 - 1649 - 1296)*(0*o - o + 2*o).\nAnswer: -5311*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1584 and 765711144.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1126*o - 56 = 1128*o. Let l be ((-3)\/2 - o\/14)*22. Solve 8 = 4*c + 4*h, 4*c + 7*h - 2*h = l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/3*(8 + -14 - 6))\/4. Solve -j*r + 4*n + 2 = -3*r, 5*n - 14 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*y**2 - 18*a**2 - 1028*a*y**2 + 15*y**2 + 2*y + 680 with respect to a.\nAnswer: -2*a*y**2 - 36*a - 1028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 171, -77, -7, 0.3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190659458 to the nearest integer?\nAnswer: 13808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (154\/105)\/(2\/6). Suppose 3*n = 0, 2*p - 4*p + n - 8 = 0. What is the nearest to p in -3, -2, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 445222.5ng?\nAnswer: 0.0000000004452225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(((sqrt(432)*-4 - sqrt(432))*3 + sqrt(432))**2 + sqrt(432) - ((sqrt(432) - (3*sqrt(432))**2) + 0)).\nAnswer: -88565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.5 - 110. What is h rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 16. Suppose -i*z = -4*u + 8, -u + 4*u - 6 = -z. Suppose 13*b = 9*b + 56. What is the highest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 7, -2, 2, 4, 9 in decreasing order.\nAnswer: 117, 9, 7, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 55818198 to the nearest 10000.\nAnswer: 55820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5*(-22)\/(-220).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2977100929?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 976 - 973. Solve 5*v + 3 = -j*f, 5*f - 22 = 5*v + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2361*k = 2340*k + 336 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2999995055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or -120\/233?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 times -2?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, 4, 4\/19, 5 in ascending order.\nAnswer: -2, 4\/19, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -14*s - 8. What is the biggest value in 0.6, -4, 1\/2, s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 31. Let j = -6 + d. Calculate the greatest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**3 - 9*u**2 + 3. Let c(q) = -5*q**3 - 5*q**2 + 2. Let v(l) = 11*c(l) - 6*m(l). Let x be v(0). Solve -r = 6*n - x*n - 12, 0 = -2*r + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/60 + a**5\/60 - a**4\/12 - 7*a**2. Let s(u) = -4*u**3 - 2*u**2 + 5*u - 1. What is -2*s(h) - 5*x(h)?\nAnswer: -2*h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*5\/(-2)*(12\/(-135))\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*h - 71*h + 6*h**2 - 75*h**3 - 21*h**3 wrt h.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*b + 44, 3*x + 1 + 29 = 3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124423190?\nAnswer: 2, 5, 12442319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 1. Let g(d) = -d**3 - 5*d**2 - 6*d + 6. Let q(u) = -g(u) - 4*p(u). Let r be q(-8). Let w = -19 + r. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(32)*5 - (sqrt(154)\/sqrt(11))\/sqrt(7)*2)**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2\/56)\/(5\/(-40)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 20*p**2 + 99*p - 1156. Give j(22).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170*k - 172*k - 4*k**3 + 2*k**3)*(8 - 6 - 5).\nAnswer: 6*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -14)\/(1\/(-2)*10\/55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1)*r\/r**(-1\/4)*r)\/((r\/(r\/(r*r*r\/r**(-6))*r))\/r*r\/r**3) assuming r is positive.\nAnswer: r**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 8*m + 49. What is i(10)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74915740 divided by -101\nAnswer: 741740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - 7. Let m = 16.8 + s. Let f = m - 8. Which is the closest to 0.1? (a) f (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383116 divided by 595779?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 745943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1146, 1148, 1152, 1158, 1166, 1176, 1188?\n\"Answer: g**2 - g + 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-4 - (-1 + -2)). Let q(b) = 0 + 3 + b**2 + 5*b + 3 + t. What is the smallest common multiple of q(-4) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*t**4 + 4989*t**3 + 81*t**2 - 619088359*t wrt t?\nAnswer: 2232*t**2 + 29934*t + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18.23228mm?\nAnswer: 0.01823228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 200210001012?\nAnswer: -200210001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/20 - 3*o**4\/4 - 3*o**3\/2 - 5*o**2 + 9*o. What is the remainder when y(-9) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 853, 858, 861, 862, 861, 858?\n\"Answer: -i**2 + 8*i + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-6)\/(-18)*9. Solve -w*r + 5 = n, 0 = 4*n - 5*r + 4*r + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Let q(v) = 6*v + 50. Let x(l) = -3*o(l) + q(l). Let d be x(0). Suppose -d*z = -52*z. What is the closest to 2\/3 in 2, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 20*u - 22*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/19 + (3 - -130). Solve -208*q = -234*q - t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*p**2 + 11 - 101*p**2 - 8 to w + i*p**2 + l*p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 5*p - 13, 3*p + 5*k = 14. Suppose h + 3*h = x + 164, -p*x = 3*h + 477. Find the common denominator of -99\/2 and 9\/(-45) + 638\/x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*2 - (-2*sqrt(65)*-4 - sqrt(65)))\/(sqrt(500)*-1*2 + sqrt(500)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 593\/2*x - 149*x**2 - 148 + 1\/2*x**3 = 0. What is x?\nAnswer: 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 398937.6 times 39.1\nAnswer: 15598460.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 4. Let z be d(-2). Let q be ((-16)\/10)\/(z\/(-750)). Suppose 0*r + 4*r - q = 0. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5997328461?\nAnswer: 3, 23971, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 - b - 651. Let p be g(0). Let n = 990 + p. Suppose -4*y - 67 + n = 2*t, 4*t - 54 = -y. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -43*c**3 - 364*c**2 + 30*c - 10. What is the units digit of n(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, u: 4, y: 4}. What is prob of sequence uy?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -41 (c) 4 (d) -1\/6 (e) -0.3 (f) -389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 2:42 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t - 6. Does 14 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.672 + 0.072. Let t = 50.4 - q. Let k = t + -63.999992. What is k rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*u - 5*m, u + 32 = -3*m + 12. Let n be (u\/(-14))\/(4\/14). Solve -6*k = n*o - 3*k - 11, -3*o + 5*k = 31 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05198 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 690713*k + 16288. Let h(i) = 509*i + 12. Determine 3*d(u) - 4072*h(u).\nAnswer: -509*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312.5 - -313. Which is the second smallest value? (a) o (b) -0.1 (c) -251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(96\/(-144)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130540995*o**3 + 73679746*o wrt o?\nAnswer: 783245970*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*r + r - 6 = 0, -5*s - 44 = 2*r. Suppose 0 = 8*j - 3*j + 30. Is j greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4102 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -7*u - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834758 + -0.21?\nAnswer: 1834757.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13756047 divided by -1679.\nAnswer: 8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**2 + 35*z - 34*z + 14*z**2 + (8 - 8 - z)*(4*z + 2*z + 0*z).\nAnswer: 15*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332041.15 rounded to the nearest 100?\nAnswer: 1332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 19. Let w be p(6). Let s = -14 - w. Solve -3*i - 6 = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*v**2 - 728*v**2 - 263*v**2 + v**3 - 2538*v**2 - 2*v**3.\nAnswer: -v**3 - 3820*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*r + 55 = 0, -5*r + 7 = 32. Is (-109002)\/(-4)*z\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/56 - 254\/(-2232). Let i = p - -18\/31. Find k such that 2\/9*k + 4\/9*k**4 - i*k**2 + 0*k**3 + 0 - 2\/9*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2*d - 72. What is the remainder when o(13) is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -8 - (-69 + 39 + 36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 113, 188, 287, 416, 581, 788?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63034 - -63?\nAnswer: -62751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = 5*k, -3*k + 5*a = 13 + 5. Let g(w) = 8 - 8 + 1 - 2100*w + 2101*w. Let y(x) = -4*x**3 - 2*x. What is k*y(n) - 2*g(n)?\nAnswer: 4*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -10\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-76)\/(-2))\/(-12 - -14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127, -251, -375, -499, -623?\n\"Answer: -124*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*x**2 - 32*x**2 + 27*x**2.\nAnswer: 83*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7416 and 35226.\nAnswer: 140904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:11 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 374.2 + -374. Let x be 2 + 1 + -1 + -7. Which is the second smallest value? (a) j (b) x (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 0*x - 595. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**2\/8 + 231*n\/8 - 39\/4.\nAnswer: 3*(n + 26)*(3*n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f**(-3\/4)*f)\/f)\/f*f**(-1\/3))**(2\/29))**(1\/18) assuming f is positive.\nAnswer: f**(-13\/3132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 2. Let k(i) = i**3 + 11*i**2 + 28*i + 22. Let n(r) = h(r) + k(r). Factor n(x).\nAnswer: (x + 2)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/(-12))\/(2\/(-6)). Let d be 3*(c\/6 + 3). Solve 5*p = d*p - 2*q - 7, p + 5*q + 24 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15407810 and 45?\nAnswer: 138670290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 7. Let q be r(-5). Let o be (12\/(-15))\/(q\/(-95)). Solve -13 = -5*d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 14*h. Let b(g) be the second derivative of -g**3\/2 + 10*g - 1. What is p(b(r))?\nAnswer: -9*r**2 + 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - -10) + 30 + (-16 + 12 - 2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 221115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 740.8694 millilitres?\nAnswer: 0.7408694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.663388 and -0.123.\nAnswer: -0.081596724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:20 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253 + -204. Suppose -139 = -6*i - q. Solve -2*a - 4 = -2*u - 10, 3*a + 3*u + i = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - q + q + 3*q - 3*q - q - 3*q + 0*q + 2*q + (4 - 3 - 3)*(0*q + q + 0*q) - q - 2 + 2)*(0 + 0*q**3 - 2*q**3 + 1).\nAnswer: 20*q**4 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6066, -4474, -148, 8280, 22178?\n\"Answer: 228*m**3 - m**2 - m - 6292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -4*p**3\/3 - 2*p**2 + 320. Determine g(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let b(g) = 2*g**3 - 12*g**2 + 40*g - 16. Let t be (0 - 1)*(4 - (4 - -5)). Let d(z) = t*y(z) + b(z). Let d(h) = 0. Calculate h.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 489, 505, 533, 579, 649?\n\"Answer: k**3 + 9*k + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5284500 divided by 211380.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299598643.\nAnswer: 3, 89, 8612729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-230)\/(-30) + 2\/(-3). Suppose -44 = -3*o - 5*g - i, 2*o = -2*g + 18. Let c = 8 - -2. What is the remainder when c is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (179 - -121)*(-61)\/(-3) a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01930595 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/18*(-71)\/((-17395)\/(-560)). Determine w, given that -2\/3*w**2 + 8\/3 - 2\/3*w**3 + l*w = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 176, 161, 120, 41, -88, -279?\n\"Answer: -2*j**3 - j**2 + 2*j + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2 + 279084*w - 2790440 = 0.\nAnswer: 10, 69761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3746 - -3663.02. Let a = 0.02 - h. Let n = -82.99933 + a. What is n rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -83 + (-8 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:55 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8102*m**5 - 11190*m**2.\nAnswer: -486120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(48)\/sqrt(8) + sqrt(6))*3)\/(sqrt(3) + 1*sqrt(27)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, u: 1, n: 2, l: 7, r: 1}. Give prob of sequence nnu.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114666038 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 3, h: 4}. Give prob of picking 1 e and 1 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 191663*q**4 - 12244646290*q**3 - 260733413654182*q**2 + 1043190812122291*q + 1303911981321845 = 0. Calculate q.\nAnswer: -63889, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 54798157 + 39*p**2 - 54798159 + p.\nAnswer: 39*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70301\/95 + 740. Let h = 183\/665 - l. Factor -2\/7*i + 2\/7*i**3 - h*i**2 + 0 + 2\/7*i**4.\nAnswer: 2*i*(i - 1)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, o: 1}. What is prob of sequence kk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3031, 12856, 29231, 52156, 81631, 117656, 160231?\n\"Answer: 3275*j**2 - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2738, -4.\nAnswer: -4, 5, 2738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9*(-13)\/(-234))\/(2\/28). Let g(m) = -5*m + 4. Let d(s) = 16*s - 12. Determine q*g(u) + 2*d(u).\nAnswer: -3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11164, 21431, 30798, 39265, 46832?\nAnswer: 53499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0463 from 117513785.\nAnswer: 117513785.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -161981*d + 161933*d + 2544 = 0 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(206*2\/48). Let y = a + 454\/721. Solve 2\/7*p + 2\/7*p**5 + 2\/7 + 2\/7*p**4 - 4\/7*p**2 - y*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3250760 by -406345.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104 - -128) + (1 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b52 (base 13) to base 9\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6884, 6890, 6898, 6908, 6920, 6934?\n\"Answer: z**2 + 3*z + 6880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32616250?\nAnswer: 2, 5, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165545 is divided by 17465.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*b + 4*a - 1474, -3*b - 3*a + 2217 = 0. Let z = b - 690. Suppose -30 = -2*s - 0*s. What is the greatest common divisor of s and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 135. Solve 5*p = -2*b + 35, 2*b = l*p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264\/5 + 53. Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 7, t: 3, v: 5, k: 1, s: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1803?\nAnswer: -1803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21254265 is divided by 267.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586 = -2*m - t, -t - 1316 = -2*m + 274. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.31 + -3.31. Let n = -10.5 - -10. Let d = 295 - 2061\/7. Put n, d, t in increasing order.\nAnswer: t, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007231301 to four dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 1. Let j be r(4). Let z = j + 14. What is the second smallest value in 5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171144 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)\/(t*t*t**(-6)))\/(t**4\/t**(5\/4)))**(-5\/7) assuming t is positive.\nAnswer: t**(-115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1829528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85767 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -60, -61, -62, -63, -64?\n\"Answer: -j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 - 42953*z**3 + 16*z**2 + 42949*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 5, h: 3, f: 4}. What is prob of picking 2 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -278, -5, 813, 3 in decreasing order.\nAnswer: 813, 3, 1, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as 126416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*l = 243*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*-3*sqrt(171) + (sqrt(57)\/sqrt(75) - sqrt(114)\/(sqrt(6)*-2)))*5.\nAnswer: -353*sqrt(19)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170162.\nAnswer: 2, 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110100110?\nAnswer: 110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38179541?\nAnswer: 38179541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2025 (base 11) to base 4.\nAnswer: 210121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216 divided by 358?\nAnswer: 2608\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14453 + 19615. Does 68 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355369 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 0.1, -2\/7 in decreasing order.\nAnswer: 8, 0.1, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + v**2. Is a(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c + 498. Determine h(25).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/41533 or -1?\nAnswer: 3\/41533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 - 99. Sort s, -2, 5, 1 in increasing order.\nAnswer: -2, 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4187570 and -598388.\nAnswer: 3589182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (38 + -24 + 10 + -14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or -164?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + v + 7. Is d(6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -7*f**5 + 127075*f**4 + 4510529*f**3 + 6238725*f**2 + 1855278*f = 0.\nAnswer: -34, -1, -3\/7, 0, 18189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45243059?\nAnswer: 103, 439253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 - 9*r**4 + 66*r**3 + 168*r**2 - 288*r - 384 = 0.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*o - 5. Let n = 39 - o. What is the greatest common factor of 369 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 + 11 - 5*n**2 - 11 as r*n + p + s*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97 - -66 - 72) + -89.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211011 + 122100220?\nAnswer: 200012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = j - a, 3*a + 11 = j. Let z(b) = b**2 - 4*b + 9. Let h be z(j). Find the second derivative of -h*x**3 - 21*x**3 - 10*x + 9*x**3 - 18*x wrt x.\nAnswer: -156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 5 (b) -1\/14 (c) -4 (d) -2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355 or -356?\nAnswer: -356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -j + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1133?\nAnswer: -2266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6722\/10083*(4\/6)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hrroxxao.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 668268, 668248, 668228, 668208?\n\"Answer: -20*m + 668288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 594 = 0. Let x be 1\/2*(-1206)\/o. Let v = -4\/11 + x. Which is the third smallest value? (a) v (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 - 6*f - 166. Calculate d(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q + 1. What is the lowest common multiple of 4 and k(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, j: 12}. Give prob of picking 3 j.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3506120213 to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46240\/(-6936))\/((-7)\/((-21)\/12)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270.0377 - -270. Let o = -0.03323 - z. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:30 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f + 60. Determine z(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3*d + 70108923. Suppose 4*x = 2*q + 24939262, 0 = -2*q - 3*q - 5*x - 62348230. Let a = q - d. What is a rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2494 - 2488 = 2*y. Let z(j) = -5*j**2 + 5*j - 5. Let a(m) = -14*m**2 + 15*m - 14. What is y*a(u) - 8*z(u)?\nAnswer: -2*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4136, 4121, 4106, 4091, 4076, 4061?\nAnswer: 4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 18*s = 10 - 125 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-33))\/(14\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 73740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.64 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 27*s + 8 - 12*s.\nAnswer: 6*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -398, -881, -1546, -2387, -3398, -4573, -5906?\n\"Answer: y**3 - 100*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541884, -2168983, -4880816, -8677383, -13558684, -19524719, -26575488?\nAnswer: -34710991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 6. Suppose 5*u + 10*f = 11*f + 268, 2*u - 110 = -f. Suppose 5*k + 4*v - u = v, 0 = -4*v + 12. Calculate m(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 22. Let g(h) = 9 - d + 2*h. Let m(v) = 44*v**2 - 91*v**2 + 45*v**2. Give g(m(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 154040.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/7 (c) 79371.83 (d) 0.4 (e) -4\/5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -529\/3, -242, 0, 0.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374 times -43?\nAnswer: -188082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406218.\nAnswer: 2, 11, 41, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12*q - 81 = 0. Let f be (12\/q)\/(-2) - (-392)\/3. Let y = f - 66. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.544266 - -1171180.544266. Let z = f - 1171201.00006. Let g = z + 21. What is g rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 650432 (base 7) to base 8\nAnswer: 334652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 47. Let n(w) = 2*w**2 + 10*w - 7612. What is -n(h) - 5*o(h)?\nAnswer: -2*h**2 + 7377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = h, -2*f + 2*h + 4 = h. Suppose -3*r - 5 = -f. Let x be 2\/(2 + 0)*2. Sort r, x, -5 in ascending order.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 - 177 - (-3 + 19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1788*27.04\nAnswer: -48347.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 1, a: 1, b: 2}. Give prob of sequence wyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5750 - 5670. Calculate the greatest common divisor of 1620 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-4))\/(-7))\/((-5)\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:55 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1121210 (base 3) to base 2\nAnswer: 10010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.443 take away -0.032?\nAnswer: -0.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1719 + 2?\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211244341 + -1311?\nAnswer: -211301202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11552?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1685487994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 2*k + 0*k)*(2*k + 0 + 0) - 4*k + 2*k**2 + 4*k + 0*k**2 - 2*k**2 + 0*k**2 - 47*k**2 - 41*k**2 - 41*k**2 as s*k**2 + o + x*k and give s.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 = -3*r - 2*f, -r = 5*f - 13. Let g(j) = 4*j. What is the smallest common multiple of g(r) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298756.65 months to decades.\nAnswer: 2489.63875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -6.9 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.3. Let j = -137.88 + 0.88. Let l = j - -141. Which is the third biggest value? (a) s (b) -5 (c) l (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:34 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3733, -7475, -11217, -14959, -18701?\nAnswer: -22443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 534912 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 10*f - 14. Let v be q(-8). Is ((v - 0) + -3)*-359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 4*c + 6. Let b(h) = 1. Let w(q) = 6*b(q) - f(q). Let z = -319 - -321. Let t(p) = p**2 - 4*p. Let k(v) = z*t(v) + 3*w(v). Factor k(s).\nAnswer: -4*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103041302 (base 5) to base 15.\nAnswer: -8a66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*v + 2)*(-6*v + 6*v - 6*v**4) - 49*v**4 + 49*v**4 + 7*v**5 + v.\nAnswer: 19*v**5 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 259421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3904896 divided by -4\nAnswer: 976224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 206*o**2 + o + 1. What is the remainder when d(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 121. Suppose -f*o = o - 160. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74776643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14661 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, -69\/14, 8, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*r**4 + 6157*r - 6157*r)*(-2*r - 3*r + 2*r + (0 - 4 + 2)*(4*r - 2*r - 4*r) - 2*r + 2 - 2 + 0 + 0 + 2*r - 1 - 2*r + 1).\nAnswer: 64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 234598383 to the power of 1\/2, to the nearest integer?\nAnswer: 15317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 25. Let d be l(10). Suppose 0*h = 2*h - 4. Suppose 6*g - h*g + 3*y = 20, -5 = -g + d*y. Solve 7 = -i + 5*s, g*i + 3*s = 16 + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Let q = 1 + w. Let k be q*(3 + -2)*0. Solve 5*d - 2*t = -3, 3*d + k*d - 3*t = -9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + (16 - 8) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 = 6*j + w, 5*w - 30 = 2*j. Let u = j - -10. Solve u*h - 2*h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -166 + 156 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 + -220. Suppose -3*f + 20 = m + m, -4*f + 2*m = -50. What is the greatest common divisor of f and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b + 474729*b**2 - 474713*b**2 + 32*b to the form d*b + q*b**2 + y and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(2*k - 2 + 2) + 2 - 2 + k + (0 + 1 + 0)*(1701*k - 1033*k - 1420*k)*(2 + 4 - 4) as p + f*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + (6 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 2*y - 3. Let d(j) = -8*j**2 + 5*j + 15 - 10 + j**2. Let x(i) = -3*d(i) - 5*h(i). Find the second derivative of x(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*d - 13, 2*d + 16 = -f - f. Let s(k) = -2*k + 5. Suppose z - 5*v - 39 = -10, 2*z - 3 = -v. Let r(c) = -3*c + 5. Calculate f*r(i) + z*s(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2129, -2146, -2161, -2174, -2185, -2194, -2201?\n\"Answer: d**2 - 20*d - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 5*w - 1. Let k be q(6). Suppose -45 = k*r - 170. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6293, -25054, -56321, -100094, -156373, -225158?\nAnswer: -306449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - -0.83. Let d = f + -9. Let s = d + 4. Sort 5, -0.5, s.\nAnswer: s, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 2*f - 16, -26*l + 2*f - 16 = -31*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 106. Suppose 4*z = -20, -4*z + 2*z - 1266 = -q*h. Suppose 2*g - 61 = -y - g, -4*y + h = -2*g. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-464)\/(-10) - 4\/10. Suppose -c = -j - t + 82, 632 = 5*j + t. Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-30)\/375*(-78)\/13.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14 - 25\/(-2). Let w(s) = 26*s + 2. Let x be w(g). Let q = x + -161. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 40 + 79*h - 168*h + 68*h + h**2. What is t(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x. Let y(a) = 21*a - 27. What is q(y(d))?\nAnswer: -357*d + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*j**2*t**3*v - 18362*j**2*t - 802*j*t**3 + j*t - 9*t**3*v - 13*v - 1 wrt j?\nAnswer: -40*t**3*v - 36724*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/6 + 41334*h**2 + 1983744*h + 23803776 = 0. What is h?\nAnswer: -247956, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*v - 315*v + 6685 = 199*v - 11345 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 4*s = -27*u + 6, -4*s - 14 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 2*d**2 - d**2 + 4*d**2 + 0*d**2 + 9. What are the prime factors of g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6\/27)\/(30\/(-18 + 12))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -6*u**7\/7 - u**6\/5 + 2*u**5\/5 + u**4\/6 + 9*u. Find p, given that g(p) = 0.\nAnswer: -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiimimtjmmoyit. Give prob of sequence tmt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129269879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/(((-14)\/7)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 18\/4)*(-20)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 15*f**3 + 25*f**3 - 23*f**3.\nAnswer: -13*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (102\/(-9))\/(-2 + 20\/9). Let m be (r\/3)\/(1 - (-4)\/(-3)). Which is smaller: m or 52?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-51)*6\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6893 and 671.\nAnswer: 75823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 21431333?\nAnswer: 21431338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4 + sqrt(405)*-6*-2)**2 - -6*(0 + -5 + sqrt(405))).\nAnswer: 918*sqrt(5) + 58301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**5\/60 + 9*t**2\/2 - 11. Let y(o) be the second derivative of d(o). Let s(h) = 0 + 0 + 2*h**2. Give s(y(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b**4 + 0 + 12*b**2 - 11\/120*b**6 - 2\/15*b**5 + 0*b**3 + 0*b. Find the third derivative of d(n) wrt n.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18162\/8*5 + 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 105*t**3 + 41*t**3 + 4*t**2 - 4*t**2 - 125*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/29)\/(y*y\/y**(1\/5)))\/(y\/((y*y**0\/y)\/y))**(-27\/5))**36)**(2\/9) assuming y is positive.\nAnswer: y**(2104\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/14*94\/(-517)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.13326 - -0.86674. Let w = -1 - -1. Sort -270, w, 5, z.\nAnswer: -270, w, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 9. Let p(a) = a**3 - a**2 + 1. Let n(z) = 4*z**3 + 7*z**2 - 11*z - 6. Let q(l) = x*n(l) - 3*p(l). Give q(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 267 - -1856?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 95 + 0*l**3 + 17 + 261*l + 16 + 2*l**3 to the form i*l**3 + x*l + v + u*l**2 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 245, -0.3, 9, -191, 1 in descending order.\nAnswer: 245, 9, 1, -0.3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-399)\/(-76))*(-21)\/(-70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 - 3*c**2 + 3*c - 5. Let a(m) be the first derivative of -1\/2*m**4 + 3*m + 2\/3*m**3 - 45 - m**2. Calculate -5*a(k) - 3*d(k).\nAnswer: -2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 4*x - 16, -4*w = -5*x - 17. Solve -2*r = -8, w*l + 2*r - 17 = -0*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 - 4*q - 5. Calculate s(-4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeebpp. What is prob of sequence baep?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-24 + -1)) + -14 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 52*i**2 - 22*i + 272. What is the units digit of p(53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 5512?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1002 or -4003\/4?\nAnswer: -1002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294 - -1083. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 35. Let v = -19 + m. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280.3893 and 0.3?\nAnswer: -84.11679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 876 - 144. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/4 - 161*f**4\/4 - 7803*f**3\/2 - 15115*f**2 - 14950*f = 0. What is f?\nAnswer: -65, -2, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 338202 divided by -37578\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2)*-6)\/((-3666)\/2444). Suppose -2 + 10 = 4*v. Does t = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 15*c - 14*c + 3*g, -4*g = -3*c + 3. Let w(s) = s + 1. Let r(y) = 35*y + 54. Let k(x) = c*r(x) - 2*w(x). Differentiate k(o) wrt o.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/13, 5\/2, -2\/5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1255 - 6?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/119 in -0.604, -6.4, 13?\nAnswer: -0.604","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Let t = 9.7 - 16. Let x = a + t. What is the third smallest value in 4\/5, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p + 14. Calculate the smallest common multiple of -7 - 2 - 5\/((-50)\/2210) and c(6).\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 8*l. Let d(s) = 2*s**2 + 5*s. Suppose 5*h + z = 38, -2*h + 5*z = 4 - 30. Calculate h*d(i) + 5*p(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1016*i + 190. Let k be m(-27). Is 25 a factor of k\/(-159) - 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19*(434701\/5054 - 86)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 - b8b81?\nAnswer: -b8b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31200219\/620 + -50323. Calculate the common denominator of 43\/55 and y.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101100100111011000111 (base 2) to base 15\nAnswer: -1dd28e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from iwwwwwwwwwiwwwwwwwww.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12003 - 12619 = 56*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 13 - ((-1 - (2 + -6)) + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 - -0.08. Let i = -254.1 - -252.1. Which is the fourth smallest value? (a) 5\/2 (b) i (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83031*i*r**2 - 21*i*r - 3*i - 949686 wrt r?\nAnswer: -166062*i*r - 21*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 19, -5, -522, 3 in decreasing order.\nAnswer: 19, 4, 3, 0, -5, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16022 (base 10) to base 4.\nAnswer: -3322112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**3 - 248*m**2 - 29*m + 62. Determine l(31).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*k + 6*k + 2*l, -5*k - 2*l = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2. Suppose 0 = 5*h - p + 52. Is 6 a factor of (-100)\/(-8)*(-8)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + m = 19, 2*m = -m + 12. Find the third derivative of 45*u**3 - 20*u**3 + 6*u**2 - 15*u**f - 17*u**3 wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 - 26496*o - 39575900 = 0?\nAnswer: -4349, -2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*c**2 + 289*c**2 - 144*c**2 - c + 50)*(-c**3 + 0*c**3 - c**3).\nAnswer: -2*c**5 + 2*c**4 - 100*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 16, e: 2}. What is prob of picking 2 r?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -23*y - 366. Determine t(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) -6 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91269025 + -11?\nAnswer: -10.08730975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7863727*x**2. Let h(q) = -q. Determine a(h(i)).\nAnswer: -7863727*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 84\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001247 rounded to six dps?\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10950, -87403, -294780, -698499, -1363978?\n\"Answer: -10903*u**3 - 44*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 - (4 - (-3)\/(-1)). Which is the closest to -2\/11? (a) 3 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 27 + 27. Let x(i) = 33*i - o*i - 17*i. Let t(u) = 6*u. What is t(x(p))?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(5477 - 250*j**2 - 5477) + 0*j**2 + 0*j**2 + j**2 + 0*j - 5*j**2 + 0*j.\nAnswer: 496*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 20, 3*g + i + 3 = -7. Let j(p) = -3*p**3 + 3*p**2 + p - 2. Calculate j(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwvyvcvvyd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Let v(j) = -j**3 + j**2 - 5*j - 7. Let w be v(0). Let y be q(w). Which is bigger: y or 54\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 83481734?\nAnswer: -83481732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:27 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 8*j**3 - 2. Let q(f) = f. Let c(i) = 2*i. Let z(u) = -c(u) + q(u). Give z(a(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 111?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-28) + (-81)\/189\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -130\nAnswer: -304\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 566745 - 566749. Let h = 102 + 53. Put -1, h, x in decreasing order.\nAnswer: h, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 16. Suppose 0*l - 74 = -p*l. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2187, 2163, 2101, 1983, 1791?\n\"Answer: -3*r**3 - r**2 + 2191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3. Let o = 4 - 15. Let b(g) = -7*g - 32. Let y(a) = 3*a + 16. Let p(q) = -4*b(q) - 9*y(q). What is o*s(i) + 2*p(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(95)\/(sqrt(5) + sqrt(80)) + -4 + -1.\nAnswer: -5 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*x + 150 = 2*r, -4*r = -x - 300. Let w(u) = -2*u + 3*u - 37 - 36 + r. Calculate w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 79. Suppose 0*l - 4*w = l - 158, -509 = -3*l - f*w. What is the least common multiple of 4 and l?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 124240 + 6*k + 124240 + 5*k**2)*(-3*k + 0*k + 5*k).\nAnswer: 4*k**4 + 10*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41228708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - g, -9 = -3*g + 3. Let y = -95 + 100. Let a be (42\/35)\/(3\/30). Solve y*r + q = a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1920)\/(-176) + 2\/22. Let x(y) = 92708*y + 212. Let k be x(n). What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:59 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 0.9. Let a = z - 0. Let v = 35 + -106\/3. Put a, -0.4, v in descending order.\nAnswer: a, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(2 + -19 + 3). Let s be 1\/(-4) + w + (-7821)\/(-36). Let n = s + -146. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 700 + -698. Let t(i) = 0*i - 5*i**2 - 2*i - 3 + 9 - x + 4*i**2. Give t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/63 and -95\/22.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18152 is divided by 673.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Suppose -36 = -5*w - 3*b, 3*w - 2*b = 5*w - 16. Calculate the remainder when w is divided by a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:02 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc + -152b?\nAnswer: -142f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/48)\/((-122)\/4392).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c)*(-2 - 2*c + 2) + 1007 + 12*c**2 - 1007 - 2*c**2 - 2*c**2 + 3*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 145a0?\nAnswer: 145a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(3) - (sqrt(12) - sqrt(3))) + 4) - 5*sqrt(12)*-1)**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4770 and 521203590.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xmxxxnnnxnx.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 - 177*f - 69. Determine k(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43812498 and 543.\nAnswer: 43812498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 64 - v**2 + 4*v - 3*v - 65. Let g(k) = 2*k**2 + k - 3. Let l(r) = 16*r**2 + 8*r - 19. Let a(n) = 5*g(n) - l(n). Determine a(t) + 4*p(t).\nAnswer: -10*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1909, -9729, -29123, -56273?\n\"Answer: -3878*y**2 - 4*y + 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3556 + -0.0287382?\nAnswer: -3556.0287382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - s + 2073. Is h(0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -48727, -74.\nAnswer: -48727, -74, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -4.9. Let z be 2\/30 + 2\/6. Which is the second biggest value? (a) u (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 less than 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 4929*c**2.\nAnswer: -c**2*(c + 4929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 3*c**3 + c**3)*(0*c + 6*c**2 + 0*c + (4 - 8 - 5)*(-4*c**2 - 2*c**2 - 4*c**2)).\nAnswer: 672*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let v(o) = -5*o. Let w(f) = -11*i(f) - 6*v(f). Let r(s) = 2705*s + 11. Let j(c) = 984*c + 4. Let p(u) = 11*j(u) - 4*r(u). What is w(p(z))?\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 9, 0 in decreasing order.\nAnswer: 9, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11975 greater than -11969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/5 or 97\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 8. Let m be f(6). What is the second derivative of -m*s + 1 + 4*s**5 - 1 wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39874399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.2 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 14480785?\nAnswer: 14480786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3)\/j**(-7))\/(j\/(j\/j**0))**(-8))\/((j**(2\/3))**(1\/38))**(2\/45) assuming j is positive.\nAnswer: j**(19663\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(3\/36). Suppose -l = f + f. Sort 5, 4, f in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2\/5 - 3657*j\/5 - 1112076\/5 = 0.\nAnswer: -252, 1471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 9*s + 3*s**2 + s**3 + 3 + s**3 - 2. Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 9*t - 41, 2*p - 24 = -4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251930591?\nAnswer: 11, 2082071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1580 and 67\/71100.\nAnswer: 71100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9667*z**4 + 8814*z**2 - 2*z**3 + 7349*z**4 + 4*z**3 + 2*z**3 wrt z?\nAnswer: -55632*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -1*sqrt(20) + sqrt(20) + -1 + 5 - (-1 + (-6*-6*sqrt(125))**2).\nAnswer: -161995 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 + 2285*r**2 + 7237*r wrt r.\nAnswer: 6*r + 4570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let a(h) be the first derivative of 16*h**3\/3 - 37. Calculate n(a(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-1)\/(-8))\/(1\/4). Does 6\/25 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 29745.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*d**3\/7 + 2988*d**2\/7 + 352*d\/7.\nAnswer: -2*d*(d - 88)*(17*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = f - 9, 4*v = 2*f - 12. Suppose 2*y - 47 = -135. Let a = f - y. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -943440, -1886855, -2830284, -3773733, -4717208?\nAnswer: -5660715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149601 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -1003, -1366, -1729, -2092?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70, 84, 98, 112, 126?\n\"Answer: 14*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58038*h**4 - 360*h**3 + 16806027*h**2?\nAnswer: 1392912*h - 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 w when three letters picked without replacement from wvvyvvwwwyv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20*y**2 + 5*y + 6. Is d(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 222 = 3*n, 9*v = -4*n + 11*v + 296. Let l = 2 - 0. Find the second derivative of -n*w**l - 66*w**2 + 28*w + 175*w**2 - 57*w**2 wrt w.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -199, -387, -633, -937, -1299?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 + 37*u**4\/6 - 91*u**3\/3 - 4*u**2 + 11*u. Find the first derivative of t(q) wrt q.\nAnswer: 2*q + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59\/24 - 9\/8. Which is the closest to -1\/9? (a) d (b) -2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*x - 0 - 2, -w + x = -2. Suppose -4*o + 68 = 4*t, w*t - 9 = -1. What is the remainder when 38 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 11*c - 12. Suppose -q - c*q = 0. Let h = -2695\/6 + 448. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6351, -8238, -13355, -23316, -39735?\n\"Answer: -269*m**3 - m**2 - m - 6080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395432 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18861523\/740 - 1156790\/37. Let q = t + 5773. Find the common denominator of (-19)\/24 + 2 - -2 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41386670 divided by 793?\nAnswer: -52190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j - 14. Let o be z(2). What is the tens digit of ((-23)\/(-4))\/((-6)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11184 = -4*v, -28*d + 30*d - 2*v = 11184. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9999 + 9999 - 2484*b.\nAnswer: -2484*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1847, -1845, -1855, -1883, -1935?\n\"Answer: -h**3 + 9*h - 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -9\/10, -1\/2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 17*g - 9. Determine t(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 793517486 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1360024 and -4.\nAnswer: -4.1360024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 91 = 5*r + 7*k, -4*r = 2*k + 74. Put -2, r, -7 in increasing order.\nAnswer: r, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24643 is divided by 12111.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, k: 1, o: 2, n: 1}. Give prob of picking 1 t and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.83 * -640.\nAnswer: 531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2731 + 2743 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -58607*q - 45. Let h(j) = -2*j**2. Calculate v(h(b)).\nAnswer: 117214*b**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-25)*((-2)\/(-3))\/(2\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*d, -20*d = -q - 21*d + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.342109733 to 4 dps.\nAnswer: 0.3421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151551 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-10)*z**18*z**(-3)*z*z*z\/(z\/z**(-13)) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -2*z. Let q be (-60)\/10 - 2*-6. Let v(u) = q*u**z + 5 - 9*u - u**3 + 4*u + 5*u. What is v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 36*x + 33*x = 0, -24*x - 46 = -89*n + 88*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*p + 12*p - 5*p - 27*p.\nAnswer: -77*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - -9 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572450010 rounded to the nearest 100000?\nAnswer: 572500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37595686 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1721 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 55943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1168 and -131\/180.\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2577 = 3*v + 25*s - 2165, -32 = 2*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 563058 = 5*g, 5*a - 3*g = -6*g + 1407521. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1488, -2975, -4462, -5949, -7436, -8923?\n\"Answer: -1487*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 3*b - 3*x + 9 = 0, 4*x = -0*b + 3*b + 13. Let o(m) = -8*m - b + 5 - m**a + 0 + 0*m**2. Calculate o(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 18130.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + -121010112?\nAnswer: -121001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.92 - 7.92. Let h = 0.2 - 0.4. Put y, -0.3, h in decreasing order.\nAnswer: y, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-636)\/(-99) - (-4)\/(-11)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -187.9.\nAnswer: -197.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 + 161. Suppose 0 = -4*l - 43 + 443. Calculate the remainder when l is divided by ((-2)\/y)\/((-2)\/(-104)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 2*t - 1 + 2 + 2*t**2. Let j = 1 + 0. Is b(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = v + 5*v. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 - 2460\/25. Let i = q - -97. Suppose 129*f + 723 + 621 = -207*f. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310518 - 1612.6641.\nAnswer: 308905.3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - v + 20 = 0, 2*w = -3*v - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 5 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + (-18)\/2. Let l = -5 - v. Which is the biggest value? (a) 4\/3 (b) 1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h + 6 = 60*h. Let d = 8 + 12. Suppose 0 = -2*v + 6*v - 2*f - 8, d = -5*f. Sort h, v, 5 in increasing order.\nAnswer: v, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.302 (b) -5\/2 (c) -1\/138 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 + 4*n - 7. Let q be o(5). Let s = -677 - -674. Sort q, 5, 0, s.\nAnswer: q, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -1*sqrt(209)*4)\/(sqrt(88)\/(sqrt(16)\/sqrt(2))) - (sqrt(190) - sqrt(190)*2*2)\/((sqrt(200)\/sqrt(4))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:53 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 + -116?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9.23319 or 2\/399?\nAnswer: 2\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10739, 10738, 10737, 10736, 10735?\n\"Answer: -l + 10740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 5. Let a be v(3). Suppose q + 5*g - 1 = 4, g = -2*q + a. Let s = q - -14. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (768\/(-80))\/24*(-15)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*y - 6188 = -5297 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**5\/20 + y**2 - 2*y + 2. Let i(a) be the first derivative of s(a). Let t(x) = -x**3 - 1. Give -2*i(v) - 4*t(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, t: 5, e: 2, q: 2}. What is prob of sequence mqqe?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d**2 - 5. Let o(a) = -24*a**2 - 9. Calculate -9*n(z) + 5*o(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3391 - 256 = 7*w + 278*w. Suppose 0 = -0*j + 3*j - 9. Solve -j*k = -w + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2\/27, -4\/7.\nAnswer: -3, -1, -4\/7, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16*j + 295. Let f(u) = 8*u - 147. Let l(a) = -13*f(a) - 6*s(a). Let b be l(17). Calculate the greatest common divisor of b and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840, 965, 1090?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 2*l**2 + 8*l - 9. Let y be o(4). List the prime factors of ((-9)\/(-6))\/(y\/(-84)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 + 6*w + 6. Give j(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 2717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + -1)*2\/(-6). Suppose r*z = -2*z. Calculate the remainder when 16 + -1*(z + -1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d + 247. Let h(f) = -13*f + 104. Let j(p) = 3*g(p) - 7*h(p). Give j(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368604 by 6.\nAnswer: 61434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 8 = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - (-3 + 1 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggcggccccgcgccc.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s + 92. Let z be l(6). Let i be z + -58199 + (-6 - -3). What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 4*f**2 - 4326 - 2410.\nAnswer: -4*f**2 - 6216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17904 and 283813.\nAnswer: 265909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3542 - 3540. Let t(z) be the second derivative of 6*z - 1\/12*z**4 + 0*z**3 + 9\/2*z**k + 0. Find the first derivative of t(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkfkkkfkkkkf.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 905806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*1\/(-2) - (-6)\/2. Solve j - 2*p = 2, -m*p - 5 = -2*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5*w + 25930836*j**4*w + 21492*j*w + 4571*w wrt j?\nAnswer: -60*j**3*w + 311170032*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**7\/2310 - b**6\/1320 - b**5\/660 + b**4\/264 - 5*b**2\/2 + 7*b. Let y(x) be the first derivative of a(x). Factor y(z).\nAnswer: z*(z - 1)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -25*f - 118. Suppose 0 = -5*z + 3*z - 36. What are the prime factors of 0 + (0 - f - z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/11)\/((-2160)\/(-1485))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0 + 0)*(0 + 3 - 4)*(-2383*v + 1112*v + 1032*v).\nAnswer: 717*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2299) + -4.\nAnswer: -3 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/169 + 474\/39 + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 416 = 65. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159414, 159412, 159410, 159408?\nAnswer: 159406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 7*r)*((4*r - 2*r - r)*(-4*r + 1 - 1) + 0*r**2 - 8*r**2 + 3*r**2).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Let t(u) = -u**2 - 7*u - 3. Let b(k) = -3*k**2 - 15*k - 6. Let h(j) = -2*b(j) + 5*t(j). Let y be h(i). Which is bigger: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 - 35 + 34 - 2*k + 0*k + 0*k + 2*k + (-1 - 2*k + 1)*(-1 + 0 - 1) + 2*k + k - 2*k.\nAnswer: 5*k + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1667*c - 4945. What is n(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 12*z - 37639 = 0. What is the greatest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1093716 and 546858.\nAnswer: 1093716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + l = 2*x + 25, 0 = 2*x - 3*l - 10. Let j(d) = 2*d - 1. Let t be j(4). Let s be t\/14 - 2\/4. Solve -n = -q - 2*n, x*q - n - 24 = s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 387755552*b**2\/17 - 33696080*b\/17 + 732050\/17.\nAnswer: 2*(13924*b - 605)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -4\/31 (c) -0.8 (d) 4 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Suppose -3*l + f = 19. Let h(r) be the second derivative of r**3\/6 + 4*r**2 - 2*r - 16. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -7*q**4\/20 - 5*q**3 - 21*q**2\/10 + 144*q - 338. Let w(l) be the first derivative of d(l). Factor w(h).\nAnswer: -3*(h + 7)*(7*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + (22 - (26 + -49 + 99))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.145 rounded to 1 decimal place?\nAnswer: -64.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -76. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h. Let q(y) = -7*y**2 + 3. Let u(t) = -48*t**2 + 20. Let z(k) = -20*q(k) + 3*u(k). Give z(x(w)).\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*h**4 - 5*h**3*w**2 + 13*h + 22*w**2 wrt h?\nAnswer: 1524*h**2 - 30*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2.\nAnswer: -880*sqrt(5) + 38745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -431 times -79.7\nAnswer: 34350.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*y + 28, -3*u + 23 = 2*y - 22. Let s = u - 12. Solve -s*g = 2 + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:23 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:16 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70446 and 92.\nAnswer: 3240516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14274 = -20509*y + 20692*y for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 59*i + 368. Determine a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1445 and 316370.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 16*i + 10. Let m = 12 - 5. What is the least common multiple of h(-5) and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + a = 4*a - 24, -4*q - a + 17 = 0. What is the third derivative of 5*m**q - 4*m**2 + 0*m**2 + 2*m**2 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97082 less than -5543.2?\nAnswer: 91538.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-33) - (-2)\/11. Suppose 3*d - 6*d + 27 = j. Is d\/3 + 0 + 160 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19938114*n**2 - 23517059.\nAnswer: -39876228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -f, -5*j + 9 = 5*f + 4. Is -46 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-14))\/(30\/(-140)) + (-2 - -40). Solve 2 = -d*p + 35*p - a, -4*p + 2*a = -16 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9560*z + 9586*z - 13156 = 0. Calculate the greatest common divisor of z and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - m = 2, 5*m - 4 = -4*g - 2. Calculate the remainder when 38 is divided by 11 + (g + 1)*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*c**3 + 81*c**3 - 4 + 2 + 2.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = -2. Suppose 4*i - 30 = 18. Let x = w + i. Solve -r - x = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*h, -23 + 27 = -4*v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611140 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -548, -2, 4, 1, 5 in decreasing order.\nAnswer: 5, 4, 1, -2, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145279671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -51618*d. Let z(s) = 1037*s. Give c(z(a)).\nAnswer: -53527866*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -0. What is the second derivative of -2*g**2 - 3*g**2 + 4*g**2 + a*g - 14*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 - 11 + 11)*(3 - 3 - 1)*(1 + 1 - 3)*(q - q + 2*q).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(5\/(-6))*53\/(-848)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -483, -482, -481, -480?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (-1 + (sqrt(475) + (sqrt(475) - (4 + sqrt(475) - sqrt(475))) + sqrt(475))**2 + sqrt(475))*-3 + -2.\nAnswer: -12866 + 345*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14) + (-3 - 28)\/(637\/(-91))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -161334, -161327, -161306, -161265, -161198, -161099, -160962, -160781?\n\"Answer: t**3 + t**2 - 3*t - 161333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -11\/14, 0.13, 3\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -37, -91, -175, -295, -457, -667, -931?\n\"Answer: -p**3 - 6*p**2 - 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15720 and 80?\nAnswer: 31440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.045909l?\nAnswer: 8045.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12247*d**3\/2 - 97975*d**2 - 16*d = 0.\nAnswer: -2\/12247, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/10)\/(116\/290 + (-7)\/35)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66715, 266884, 600501, 1067566, 1668079?\nAnswer: 2402040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*z + 2*z. Let u(n) be the second derivative of -n**5\/20 + 5*n**4\/12 - n**3\/3 - n**2\/2 + 31*n. What are the prime factors of u(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3913377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/8 - 3315*s\/2 + 197316 = 0. Calculate s.\nAnswer: -4536, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let y(s) = s**2 + 2*s + 2. Let n(x) = 2*x**2 + 3*x + 3. Give w*n(b) + 3*y(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**11))\/t**(-11))\/(t**(-7)*t**(-2)) assuming t is positive.\nAnswer: t**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 18 - 1 + 3*u**3 + 33*u - 17 + 8 + 18*u**2 = 0. Calculate u.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - (6\/21)\/(-1). Suppose -3*k + 212 + 5065 = d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -180. Suppose d*c = -2*h + 304, -c = 3*h - 3*c - 464. Round h to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 83 - (-694 + 614)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let t = 9 - 6. Let g = -616 + 617. Let y(i) = -4*i**2 - 1. Calculate g*y(v) + t*n(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221003 (base 4) to base 8.\nAnswer: -5103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 74*y - 47. Give u(-22).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 4*q - 2*q + 2 + 4*q. Let s be b(0). Solve -3*y + 1 + 5 = -3*n, -10 = -s*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968480504 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/11 - 496*m**4\/11 + 35154*m**3\/11 - 791020*m**2\/11 + 947000*m\/11 + 10950000\/11 = 0.\nAnswer: -3, 5, 50, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x. Let i = -2 - -2. Suppose i*w - 2 = 5*z + 4*w, -2*w - 4 = z. Let j(n) = z*n + 3*n - 6*n. Calculate k(j(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -798.8 - -714. Let y = k + 9.9. Round y to 0 dps.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-6)*v)*(v**2\/v*v)\/v*v)\/(v**(-1\/4)\/((v**(-8)\/v)\/v)) assuming v is positive.\nAnswer: v**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -48212337 < -48212337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (1 + sqrt(300)*2 + sqrt(300) - ((sqrt(300)*-2 - sqrt(300))*-6 + sqrt(300)))))**2.\nAnswer: 8640*sqrt(3) + 691281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-7) + (-500)\/(-28). Suppose 3*k = 15 - 3. Suppose a - f + k = 0. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 2, j: 1}. What is prob of sequence tjta?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 - j**2 + 6*j - 13. Let h be g(4). Let l = h + -245. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.08 less than 0.00879428?\nAnswer: 3.08879428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 + 945*t**3 - 535720*t**2 - 3240180*t - 4330000 = 0.\nAnswer: -433, -4, -2, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 - 1 = 0. List the prime factors of (-21 - p)*2\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 + 10*a - 1. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-17\/4))**(-4\/3)\/((g*g**(-1\/15))\/(g*g*g\/g**34*g)))**(-1\/69) assuming g is positive.\nAnswer: g**(133\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*f - 48494 = 0, 192*f - 194*f = -14. List the prime factors of b.\nAnswer: 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 446 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, n: 1}. Give prob of picking 1 g and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.038 and 7412.3.\nAnswer: -281.6674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3594 + -3593.94417. Let j = 3.33117 + v. Round j to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 1437904 - 288534. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54134507?\nAnswer: 7, 7733501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.899335 nanoseconds to microseconds.\nAnswer: 0.007899335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let a(g) = -15*g**2 + g. Give a(s) + 6*i(s).\nAnswer: -21*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 30107200 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -77090\/1043?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2 + 282*s - 1244. Calculate h(42).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474113541 to the power of 1\/2, to the nearest integer?\nAnswer: 66889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005286 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/11 (b) 107 (c) -8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-18)\/18780))\/((-8)\/12). Which is greater: o or 1566?\nAnswer: 1566","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 1669*n**2 + 218855*n - 1136125.\nAnswer: (n - 5)*(n + 149)*(n + 1525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - 18*h + 6. Let o(b) = 7*b**2 - 37*b + 14. Determine -9*d(q) + 4*o(q).\nAnswer: q**2 + 14*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1962*y - 2611. Is t(-40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2428770.96 minutes to weeks.\nAnswer: 240.9495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45679590 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/42 - (1350\/(-14) - -2). Suppose -4*n - 12*v + 112 = -14*v, v = -3*n + z. Calculate the remainder when 114 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*g + 3*g + 16 = 0, 5*g + 8 = -3*o. Suppose p - o*d - 476 = -p, 5*p - 1174 = 2*d. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2*-3)**2 - ((sqrt(147) - (sqrt(147) + 0)**2 - sqrt(147)) + sqrt(147))*-2.\nAnswer: 14*sqrt(3) + 4998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 978, -22.7 in descending order.\nAnswer: 978, -12, -22.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x**(1\/3)\/x)*x**2\/(x**(-13\/3)\/x))**(-2\/3) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**3 - 96*h**2 - 35*h - 22. Let v(j) = 3*j**3 - 32*j**2 - 11*j - 7. Let m(r) = -7*v(r) + 2*y(r). What is the units digit of m(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Let p = -0.9 - -1.14. Let m = p + -0.04. Which is the nearest to w? (a) m (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -0.3, -7, -2\/13, -0.7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/4 + i**3 + 31*i**2\/4 + 7*i\/2 - 12 = 0.\nAnswer: -3, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y + 56. Let q(j) = -15*j - 108. Determine 5*d(u) + 2*q(u).\nAnswer: 5*u + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24694866, -49389733, -74084600, -98779467?\nAnswer: -123474334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 37*i + 976 = -4*v, -4*i = v - 986. Calculate the remainder when 741 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (-4 - (-11 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(10\/80)\/((-2)\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 5*o**2 - o + 21. Let n be (-11)\/55 + (-6)\/(-5). Let z be -4 - (2 - n)\/(4\/(-36)). Does 5 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 533 and 669981?\nAnswer: 669981","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/5 - 10*m**2 - 208*m\/5 - 32 = 0. Calculate m.\nAnswer: -20, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/14 - (3906\/(-49))\/9. Let r(f) = f**3 - 9*f**2 - 2*f + 11. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1781.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10985.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 14, 0, -26?\n\"Answer: -6*s**2 + 16*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c + 20. Let h = c + -14. Solve o - h = -0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01402 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -359 - 9\/3*-3. What is the highest common divisor of l and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**5\/2 + 8729885*r**4\/2 - 11639890*r**3 + 5819950*r**2 = 0?\nAnswer: -581995, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3243 is divided by 1379?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -418*y**3 - 3075*y**2 - 2*y - 2 wrt y?\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44897, -45252, -45607, -45962, -46317?\n\"Answer: -355*m - 44542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(243) + (sqrt(243) - (sqrt(243) + sqrt(243) + (sqrt(243)*-1 + -2)**2)) - (sqrt(243) + 3 + sqrt(243) + -5)**2) + -4)*-1.\nAnswer: -4908 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/50*19150\/1915.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 67*c**5\/12 - 5*c**4\/6 - 3597*c**2. Find x, given that p(x) = 0.\nAnswer: 0, 4\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 11\/((-5225)\/(-1895)) + -3)\/(15\/10).\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - t - 85 = 0, -i = -3*i - 3*t - 21. Let w be -3 - 230\/i - 2\/(-9). Let d(s) = s**3 - 9*s**2 - 8*s + 8. List the prime factors of d(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/10 - -212\/45. Suppose 2 = -l, 0*l - l + 3422 = 4*x. What is the common denominator of p and (2\/32)\/(6\/x)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45111, -45122, -45133, -45144, -45155?\n\"Answer: -11*y - 45100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*t + 5*n = -336*t + 6, 2*t = n + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-40)\/150*3\/(-2)). What is the second smallest value in 5, a, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 18*x + 17. Let s be a(17). Suppose 2*t + 4*u - 9*u = s, 4*u = 4*t. Let y = -11 - -8. Sort y, -4, t in descending order.\nAnswer: t, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/5, 383, 19, -0.2, 0 in decreasing order.\nAnswer: 383, 19, 0, -0.2, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 0. Is 1266\/f - (-20)\/50 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f7 (base 16) to base 10\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:51 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10*(-6)\/(-70))\/(74\/14). Let m = -8\/407 + g. Let h = 49\/3 - 16. What is the nearest to 2 in m, h, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -59693865?\nAnswer: -59693865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*f - 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81133 (base 11) to base 8.\nAnswer: 347530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28817297.2707 + -0.3.\nAnswer: -28817297.5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 + 3*s**2 - 11*s - 5. Let z be b(-8). Put z, 0, -4 in ascending order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 14*s - 7)*(2*s**4 + s**4 - 2*s**4)*(0 + 1 + 0).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(637) + sqrt(637) + 1 - (-1*sqrt(637)*-1 + sqrt(637))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -722, -4, -1?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 + 4 = 2*t, t + 4*c - 1 = 0. Suppose w - 8 = t. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:25 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 39*y - 5*y.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 16. Suppose 3*u - 5*k = -41, 0 = -2*u + x*k - 24 - 0. Let p = -13 - u. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7502 - 3826. What are the prime factors of v?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*v + 2*v + 2*v**2 - 8*v - 44*v**3 + 0*v**2 wrt v?\nAnswer: -264*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1 - 3 - 803*k**2 + 3*k - 3 + 809*k**2 - 42*k**3. What is the thousands digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 - 3*c - 3. What is p(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 8 = -14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -915*17\/((-408)\/16). What are the prime factors of (b\/(-25))\/((-2)\/50) - -3?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384b79 (base 13) in base 12?\nAnswer: -553076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10230203 + 2?\nAnswer: -10230201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10980\/(-1952))\/((60\/(-16))\/3)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-10))\/(-13*168\/3640).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4638 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t + 17. Solve -4*a - 3 + 2 = -3*q, -t*a = q - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2851012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/55)\/((-4)\/352*-4*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383049253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1142*p**2. Let g(n) = n. What is g(o(w))?\nAnswer: 1142*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:45 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/7 - 16105*s\/7 - 4602 = 0.\nAnswer: -2, 16107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34931625 from 23.\nAnswer: -34931602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 366, 383, 406?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, 0.02, 0.19, 4\/3, 2, -5 in increasing order.\nAnswer: -226, -5, 0.02, 0.19, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 40.\nAnswer: -39\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n**7 + 0 + 1\/10*n**5 + 0*n**6 + 0*n**4 - 1\/56*n**8 - 3*n**2 + 0*n**3 + 0*n. What is the third derivative of k(i) wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xncxxnyxxxyx. Give prob of sequence yc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -680 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 67956?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 12*k + 11. What is q(14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*g)*(-1 + 1 + 3*g + (-3 + 5 - 3)*(2*g - 2*g - g) + 3*g - 5*g + 4*g + 2*g - 4*g + 4*g + (2 - 5 + 1)*(-1 + 1 - g)).\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/5 - 44*h**3\/5 + 12*h**2\/5 + 812*h\/5 - 784\/5.\nAnswer: 4*(h - 7)**2*(h - 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 34*s**3 - 2*s**2 - 2*s - 1. Calculate a(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10126 and 1660.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v - 23. Calculate o(10).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 6*o**2 + 3*o**2 - 3*o**2. Let j = 11 - 6. Let p(s) = s - 5. Let z(v) = v - 4. Let q(t) = j*z(t) - 4*p(t). Give l(q(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4441, 4441, 4447, 4465, 4501, 4561, 4651?\n\"Answer: o**3 - 3*o**2 + 2*o + 4441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*r - 17 = 0, -54*r = -399*u + 403*u - 220 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/192360 and -11\/3722166.\nAnswer: 74443320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa80 (base 15) to base 12.\nAnswer: 18aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 115 - 182)*(-q**2 + 3*q**2 - q**2).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2915 - 1215 = -17*h - 105*h - 4278 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/30 and -127\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11689*i + 17 - 7 - 10 + 11593*i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:39 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 5:14 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r + 7. Let a be v(-3). Does 7 divide a\/(-3) + 36\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13411 - -402?\nAnswer: -13009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*i + 2. Suppose -5*y - i = -x, -4*y = -4*x - 0*x + 68. Suppose 2*u - 2*j = x, 0 = -4*u + 3*u + 4*j + 1. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*f - 4*k, 4*k - 2*k = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*z - 17*z + t - 858, 2*z + 3*t = 444. Suppose -75 = 4*g - 643. What is the highest common divisor of g and z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.84690611 to two dps.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140\/(-360)*(-1)\/(-14)*8. Which is smaller: a or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 - 5*d - 5. Let u(p) = -8*p**3 - 4 + 4 - 43*p + 37*p - 6. Determine -6*n(w) + 5*u(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 8*r**2. Let x be a(-8). Let c = -7 - 0. Put c, x, -5 in decreasing order.\nAnswer: x, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(30)\/sqrt(96)) + (1 + sqrt(500))**2.\nAnswer: 83*sqrt(5)\/4 + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 25. Let h = 1 + -1. Let p be y(h). What is the greatest common factor of p and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/7 + 1020244*h**4\/7 - 10202306*h**3\/7 + 33667472*h**2\/7 - 5829856*h + 16323584\/7 = 0 for h.\nAnswer: 1, 4, 510112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44066731*a**2 + 8363*a - 1215 wrt a?\nAnswer: 88133462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6042, 6401, 6758, 7113, 7466, 7817?\nAnswer: 8166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23844442?\nAnswer: 2, 11922221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 0.5 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -19*h**7\/15 + h**6\/40 + 217*h**5\/30 + 10*h**2 + 10*h. What is the third derivative of p(x) wrt x?\nAnswer: -6384*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*c**2 - 169*c**2 - 177*c**2 + 500*c**2.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*k + 6*t - 26, 0 = 5*k - 3*t + 77670 - 77694 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6259572 = -2*u. Let l = 1310208 - u. Round l to the nearest ten thousand.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 10. Let k(a) = 14*a**3 + 2*a + 2. Let j be k(0). Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2*m. Let a be b(0). Solve -f = -4*v - 1, a = 4*f + v + v + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let r be 7 + 7\/(7\/i). Let d = -0.6 - 1.4. Which is the second smallest value? (a) -4\/5 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 335344584 = 13451322. Let l = -8848877 + g. What is l rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.166 - -0.014. Let q = 0.18 - g. Let j = 29 + -28.9. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617531.\nAnswer: 617531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464375 (base 8) in base 2?\nAnswer: -11100110100011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 3\/7 (c) 0.051 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b06 - 1?\nAnswer: -b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -56548, 4, -1?\nAnswer: -56548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -158 - 430. What is the greatest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 31704.3?\nAnswer: 5706.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c - 162*c + 78*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, b: 3}. What is prob of sequence ccb?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827544 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*o + 322*o - 50 + 50.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22599?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/3 - 1750*w**4\/3 + 5926*w**3 + 68038*w**2\/3 - 877024*w\/3 + 264320 = 0. What is w?\nAnswer: -885, -7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let u be 3\/p*1*9. Does 7 divide 65\/9 - (-6)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5934 at least as big as -35605\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (1 - (-1 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13734 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 + 11*k + 4961*k**3 - 4962*k**3 - 2 - 8*k**2 in the form b + l*k**3 + w*k**2 + a*k and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1033a - 78a?\nAnswer: -10b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -28.9. Put 1\/3, q, -0.5 in increasing order.\nAnswer: -0.5, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 75 = -19. Let d be 0 - 7\/(m\/(-8)). Let z(l) = 3*l + 6 + 6 + 5*l**2 - 3*l**2 + 9 - 18. Give z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580196813 to the nearest integer?\nAnswer: 24087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (9 - (-1 - (-1 + -7))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from jsjjxsssslvss?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39565\/6 - -6593. What is the nearest to -5 in 0.5, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123188 by -92.\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361\/6 - -61. What is the nearest to -2\/7 in 3, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a - 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1 - (-2 - -3). Suppose -h + b*z - 6 = 0, 3*z = -2*z + 10. Suppose 0 = -h*v + v - 7. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(((a\/(a*a**10)*a)\/a)\/a))**(32\/7)\/((a\/((a**(-2\/3)\/a)\/a))\/(a\/a**3))**(5\/7) assuming a is positive.\nAnswer: a**(587\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, o: 2, x: 4, b: 1}. What is prob of sequence bo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9020\/(-820)*((-2)\/(-36))\/(29\/(-58))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1149*z - 3. Let b(v) = -v. Determine b(j(g)).\nAnswer: 1149*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 6*y. Let x be n(6). Suppose -2*v + x + 2 = 0. What is the smallest value in v, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, 15\/8, 10, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 136, 872, 2876, 6784, 13232, 22856, 36292?\n\"Answer: 106*l**3 - 2*l**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.01 - 11. Let a = 54 - 53.7. What is the closest to o in 1\/8, a, -2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osb when three letters picked without replacement from bhobsxooolss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z - 1075. Let k be t(68). Put k, 5, 2, -3, 4 in decreasing order.\nAnswer: 5, 4, 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q + 6. Let s be (q\/5)\/((-10)\/(-150)). Suppose s*n - 3036 = 1074. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*t + 22 = 0, 0 = 3*k - t - 2*t + 18. Let c be -2 + 58 + -1 + k. Suppose 0*g - 5*l = -2*g + c, -52 = -4*g - 4*l. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20223, -40429, -60629, -80823, -101011, -121193?\n\"Answer: 3*g**2 - 20215*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**7\/21 - o**6\/15 + 17*o**5\/2 - 275*o**4\/6 - 7*o - 23. Find v such that s(v) = 0.\nAnswer: -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-1)\/(-1))*(-4810 + 4800)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 5, -147, 0.2, 1\/2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -5, -26, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.40516 and -6836.\nAnswer: -6835.59484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 211725.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 - 6*r + 15. Suppose 17*x + 30 = 12*x. Let z be h(x). Suppose z*n - 6*n - 360 = 0. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 2*t**3 + 669*t**2 - 669*t**2)*(6 - 9 - 15) in the form p*t + l + q*t**2 + h*t**3 and give l.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2052769 rounded to two decimal places?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6 - 3*z + 3*z + 2*z. Let c(r) = -r**2 + 9*r + 16. Let i be c(11). Determine q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 15*b = -11*b - 14, 0 = 5*h + b - 4 - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 21 = 5*l - 15 - 46, 162 + 18 = 9*l + 45*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 + 2*l - 16. Give x(-8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p = -71 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from ljmedbd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3969613 + -3969612.2165703. Let h = c - -1.2165787. Let j = 2 - h. What is j rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -792237.27 rounded to the nearest 1000?\nAnswer: -792000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**7\/42 + 7*q**4\/12 + 8*q. What is the third derivative of a(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, 1, 3, 0 in descending order.\nAnswer: 329, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1541\/10095?\nAnswer: -1541\/10095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-42)*3)\/((-105)\/210)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17114845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 - 64075*b - 64070 = 0. Calculate b.\nAnswer: -12814, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0 + 12\/(-2)). Suppose 5 = 5*y - 10. Suppose -r - 1 = y*o. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g - 10 = -86*g + 40*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14858534 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 11*c + 2*h + 8 = 0, -c + 5*h + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25492 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102396878147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z - 2. Let y be a(0). Let x(q) = 3*q**2 + 3*q + 2. Calculate the lowest common multiple of x(y) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 24*l + 167 = 0. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:17 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 516992 * -0.2\nAnswer: -103398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 18. Suppose -t + 5*t - 358 = -k*w, 0 = 4*w - 4*t - 440. Let l = w + -34. What is the greatest common divisor of l and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = c + 160, -7*c - 61 + 85 = 3*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 + 9*s**2 - 15*s**2 + 8*s**2 - s**2 + 1 - 1 - 3*s**2 + 4*s**2 + s**2 + (-2 - 2*s**2 + 2)*(1 - 2 - 1) + 4 - 4 + 2*s**2.\nAnswer: 9*s**2 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 4\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3)*-4)**2*4.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-18 + -17 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from lnlibnblniwl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let n be b(2). Suppose -3*t + 3 = -j + n*t, 5*j = 4*t + 6. Find the third derivative of -s**6 + s**6 + j*s**2 - s**6 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-10 + 7)*2. Solve 5 = -4*h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2898*x - 2898*x - 4*x**6 - 68*x**6 - 290*x**2 wrt x.\nAnswer: -8640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0 + 6*l - 1\/6*l**3 - 2*l**2. Differentiate x(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.272 + -6.272. Let t = 19\/170 + 3\/34. What is the nearest to 2 in t, x, 1\/2, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-994)\/(-9443) + (-664)\/532?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/7 + 44*s\/7 + 242\/7 = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(4\/5)*l**(-12)*((l*l**(2\/9))\/l)\/((l\/(l\/(l**(1\/4)\/l)))\/l) assuming l is positive.\nAnswer: l**(-1481\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1582560 and -91\/21075680.\nAnswer: 1327767840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4467009 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.4323539 minutes to days.\nAnswer: 0.005161356875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1447*-1.87937\nAnswer: -2719.44839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 3*g**2 - 1 + 2*g**3 + 2*g**2 - g**3. Suppose 15 = -5*o + 4*k, -5*k + 0*k + 30 = 5*o. Let h(d) = 7*d**3 - 5*d**2 + 6*d - 5. Give o*h(u) - 5*s(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:59 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*a + 1200 = -109*a. Calculate the remainder when a is divided by 12 + 28 + (-2 + 0 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/(r\/r**(-1\/5)*r))**(-1\/55) assuming r is positive.\nAnswer: r**(111\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:29 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/11)\/(-74 + 76)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7726 = -4*i, 18*i - 17*i - 1900 = 4*d. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4858 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 188267234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/o**(-2\/21)*o)))\/o)**(-8)\/((((o\/o**(-4\/19))\/o)\/o)\/(o*o*o**(-1\/23)*o*o)))**18 assuming o is positive.\nAnswer: o**(-221124\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 989, 1177, 1363, 1547, 1729, 1909?\n\"Answer: -r**2 + 191*r + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 10*y - 10. Let n(h) = -4*h**2 - 14*h - 14. Let c(m) = -5*n(m) + 7*t(m). Let f(u) = -6*u + 2*u - 4*u. Determine f(c(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4475 and -22\/1175?\nAnswer: 210325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44121 and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.9 - -12. Let t = -3 - i. Let p = 2.5 + t. Sort -1, -1\/2, p in descending order.\nAnswer: p, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 4)*(-1 - o - o + 3)*(2*o - 3*o + 3*o) to j*o**2 + r + b*o and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-162))\/(-9*25\/4050)\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*b + 26 - 15, -4*b - z + 18 = -3*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 14 = -7*k. Let y be (-2)\/3*9\/12. Which is the second smallest value? (a) k (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2864 in -0.059, -3\/13, 0.5, -1\/6, 4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m**(-4)\/m))\/m)\/(m\/((m\/((m*m**(-5))\/m))\/m)))**(-1\/65))**(-2\/43))**(-3\/7) assuming m is positive.\nAnswer: m**(-54\/19565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from upupuutn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*c - 47*c**3 - 66*c + (c**2 + 2*c**2 - c**2)*(-4*c + 4*c - 2*c).\nAnswer: -51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1217, 5, 2.\nAnswer: -1217, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 23 + 1332*i + 9 in the form b + w*i and give w.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076849 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let z(o) = 15*o - 18*o - 32*o. What is z(f(k))?\nAnswer: 35*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -45*u**3 - 8*u - 8. Let l(p) be the second derivative of 3*p**5\/2 + 5*p**3\/6 + 5*p**2\/2 - 1786*p. Determine -8*l(y) - 5*v(y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z, 42*g - 40*g + 3*z = 8. Suppose v = 5*w + 3*v - 18, -4*w - 2*v + 14 = 0. Suppose f - w - g = 0. Which is greater: f or 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 407 divided by 6814\nAnswer: 407\/6814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 19*w**2 - 8*w - 8. Let k be b(10). Let l(f) = -16*f**2 + 5*f. Let g(s) = -40*s**2 + 12*s. Determine k*l(h) - 5*g(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21*k = -19*k - 15, 3*k = 12. Let z(q) = 4*q**2 - 22*q - 10. Let a be z(u). Solve -4*o = 12 - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. What is the tens digit of 2\/u + (1 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.126 (c) 10 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13 = -9. Let l be p + -4 + 3 + 1. What are the prime factors of (-1)\/(l + 14\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3063, -5530, -7997, -10464, -12931, -15398?\nAnswer: -17865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454118.6 centuries to decades.\nAnswer: 4541186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868055 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-1 + -19 + (14 - (-12 + 20)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:25 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (2 + -6) - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 + -195. Which is smaller: -0.09 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/13 (b) 7 (c) 335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11*j = 6*g - 2336, -3*g - j + 2356 = 0. What is the smallest common multiple of g and 15?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjcgcccsjggjqcjcc. Give prob of sequence qsj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661.7 * 0.4426.\nAnswer: 292.86842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1800787662?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 203*n + 1534. What are the prime factors of x(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144134, -288274, -432414, -576554, -720694, -864834?\nAnswer: -1008974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/7 + 1034*f**4\/7 - 8420*f**3\/7 - 10484*f**2\/7 + 8418*f\/7 + 1350 = 0. Calculate f.\nAnswer: -525, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -65. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -0.9, 0.6, -2\/7, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7551 and 35238?\nAnswer: 105714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -11*i - 75. Suppose -3*u - i = v, 4*v + u + 5 = -0. Let k be 2 + -3 + 2 + 2. Solve v = 4*n - k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g. Let z be r(-1). Let k be (8\/6)\/(z\/(-36)). What is the greatest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a**2 + 73*a - 5. Determine o(4).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t. Let z(q) = q**3 + 2*q**2 - 3*q - 1. Let d(r) = -5*j(r) + z(r). Let o be ((-24)\/9)\/(-4)*3. Let b = -1 + o. Determine d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -8*p + 85. Solve 0 = i + p - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (9 + -7 + 10) - -12) + (0 - 46).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188155 = -17836*q + 517677 + 1293554 for q.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42469*l**3 - 21987*l**3 - 21165*l**3.\nAnswer: -683*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a**3 - 18*a**2 - 280*a + 5. Let p(w) = -20*w**3 - 29*w**2 - 421*w + 8. Determine 8*l(h) - 5*p(h).\nAnswer: -4*h**3 + h**2 - 135*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*i - 0*i + 1, 0 = 3*q + 4*i + 3. Let v(s) = 22*s**2 - 3*s - 3. List the prime factors of v(q).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 4 + 0 - 10) + -22 + 10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence futu when four letters picked without replacement from uefteeueteutetxex?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 42*v - 4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v - 15. Let p be t(3). Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-2) + -2)*-2. Is -5 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 7*x = 3*v + 4, -2*x = v - 6. Suppose 842 = 4*b + x*c, -5*b = -2*c + 8*c - 1056. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 49613340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3008 is divided by 1475?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 + 358.8. Let y be (3\/2)\/(9\/(-12)). What is the biggest value in y, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/3 + 774*k**3 - 34516*k**2\/3 + 52008*k - 64176 = 0.\nAnswer: 2, 6, 7, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100 - 72*v**3 - 33 - v + 24 wrt v?\nAnswer: -432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5981*l + 5. Let h(n) = 2*n**2. What is q(h(w))?\nAnswer: 11962*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1936 and -71\/88.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -785 or -788?\nAnswer: -785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/15?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 13*q**3\/3 + 3*q**2\/2 + 2*q + 3. Let n be t(-1). Let y = -8 + n. Solve -y*f = -0*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:29 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600, 4710, 15880, 37650, 73560, 127150, 201960?\nAnswer: 301530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(1*-2). Let a be (-3920)\/(-16) - 9\/(-6)*2. Let t = -244 + a. What is the nearest to f in t, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 16.96. What is j rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916.5721 rounded to the nearest ten?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmdt when four letters picked without replacement from hftmmhxttftdfhh.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2684951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 4 - -2) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0, 1, 0.17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {n: 8, f: 5, k: 7}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/9 - 31*o - 2002\/9.\nAnswer: (o - 286)*(o + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 + 348. Suppose u = -4*t + 20, v - 2*v = -3*t + 9. Solve 15*x + v = 9*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1\/120*x**6 + 3*x**2 + 0*x + 0*x**3 + 1\/20*x**5 + 0 + 0*x**4. Find the third derivative of o(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p**2 + p + 5. Let k = 6 + -4. Let q(w) = 5*w**2 - 2. Let c(f) = k*d(f) + 5*q(f). Calculate the remainder when 47 is divided by c(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11))**(-3\/10)*(h**8\/h)\/(h**5*h) assuming h is positive.\nAnswer: h**(58\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/40*o**6 - 3 + 0*o**4 - 13\/2*o**3 - o**2 + 2\/15*o**5 + 0*o. What is the first derivative of y(l) wrt l?\nAnswer: 9*l**2 + 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 811, 39, 2 in decreasing order.\nAnswer: 811, 39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 2, l: 3, u: 8}. What is prob of sequence put?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 - 6*a**2 + 4. Let s(p) = -10*p**3 - 7*p**2 + 5. Give 5*j(c) - 4*s(c).\nAnswer: -5*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 + 9*m + 3. Let s(b) = 62*b**2 - 80*b - 26. Let c be 1\/(5*5\/150). Let t(d) = c*s(d) + 52*n(d). Find the second derivative of t(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195977*z**3 + 98014*z**3 + 97968*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 62. Determine t(-18).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 413414575*k**2 - 6*k + 15518781 wrt k?\nAnswer: 826829150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 646, 638, 626, 610, 590?\n\"Answer: -2*n**2 - 2*n + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerrwreerh. Give prob of picking 1 w and 1 e.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n - 7*n - 2*n)*(4*n + n - 7*n) to the form m + h*n + b*n**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -127199100 divided by 25?\nAnswer: -5087964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*391\/170*(-8 - -18 - 5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2968152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = -3*p. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -774, -1751, -3118, -4875?\nAnswer: -7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*s - 53, -2*y + 38*s = 40*s + 26 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117? (a) -0.5 (b) -40 (c) 88 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiei when four letters picked without replacement from {e: 7, i: 2, y: 9}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157413 and 785916?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1680 + 1656. Which is the nearest to p? (a) 0.06 (b) 3\/4 (c) 2\/19 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888 times -3?\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 26*x + 15*x + 13 - 10*x. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.145\nAnswer: 0.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s - 9 = -v, 3*s - 101 = -4*v. Let t = 35 - v. Let i(k) = 10*k**2 + 0*k + 0*k - t*k**2. Let p(q) = 13*q**2. Calculate i(p(h)).\nAnswer: 676*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 67.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*s**4 + 51*s**4 - 30*s**4 + 6 + 2*s**3 + 2*s**2 to the form d*s + z + g*s**4 + m*s**3 + l*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 4*o - 4, -518*o + a - 17 = -514*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7*d + 7. Let m be u(-5). Let r be 13 + 3 + m - 2. Suppose -16 = 4*z - 2*c, -3*z + c + 0*c = r. Put z, 0.5, 0.26 in descending order.\nAnswer: 0.5, 0.26, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, 24, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 791620 to the nearest ten thousand.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/26321688 and -1\/342.\nAnswer: 26321688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/17 - -3\/136. Let o(f) be the third derivative of 0*f + 7*f**2 + x*f**4 - 7\/6*f**3 + 0. Differentiate o(b) with respect to b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352670 is divided by 27041?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*z = 257*z - 516*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -12*w + 4*u - 28, u + 6 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -5 - -9) + -1 + 1. Suppose -i*v - 15 = -10*v. What is the third derivative of 4*o**2 - 73 + 4*o**v + 22*o**2 + 73 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/193120 and 119\/96.\nAnswer: 579360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 89. Calculate j(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -42*v**3 + v**2. Suppose -3*m = -6*m + 6. Suppose m*c + 4 = -2*c. Let j be n(c). Round j to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/(((-133)\/56 + 2)*-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 17, 0 in descending order.\nAnswer: 17, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -4, 3 in decreasing order.\nAnswer: 3, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/w*w)\/w)\/(w*w*w**(-18)) assuming w is positive.\nAnswer: w**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (20 + 24 - 21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.09 + -0.09. Let x = 1.2 + -0.2. Let q = x + -4. Sort l, q, 5 in ascending order.\nAnswer: q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136 - 507192?\nAnswer: -507318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -246. Let y = 1010\/7 + w. Factor -4\/7 - y*d**4 - 18\/7*d**2 - 2*d - 10\/7*d**3.\nAnswer: -2*(d + 1)**3*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:04 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 3 (c) 177 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4339 - -4328. What is the second smallest value in y, -1\/8, 0.4, -5\/6, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1 + 0 + 2*o - 1. Suppose -4*a - a + 5 = 0. Let s(p) = -6*p + 1 - a. Give t(s(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8978113mg?\nAnswer: 897.8113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*p = 2, 0 = -5*p - 0*p - 25. Let u be 3\/x*-1*4. Solve -5*r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 48*d - 40159. Determine w(-153).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10548, -3.6, -10?\nAnswer: -10548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*d**4 + 4)*(1 + 3 - 2) + (-d + d + d**2)*(-2*d**2 - 3*d + 3*d) - 7*d**4 - 4 + 4 in the form x*d + r*d**2 + t*d**4 + f + p*d**3 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 - 1\/4*x**4 - x + 1\/2*x**3 - 1\/2*x**2 + 1\/20*x**5. Calculate o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 + 2 = 5*j, 0 = -4*t + 12. Let r(w) = 1 - 1 - w. Determine r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814046 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 1. Let y(h) = h. Determine -x(u) - 2*y(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19*n**2 - 7*n + 227. Let k(w) = 30*w**2 - 11*w + 340. What is -7*k(v) + 11*z(v)?\nAnswer: -v**2 + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/24 - (-8 + 8))*3. Put 4, -0.19, a, -2 in ascending order.\nAnswer: -2, -0.19, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381246 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 55 + 0 = 25, 3*w - 8 = -2*h - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*v - v + 13, v = -4*c + 21. Factor 1 + 0 + 10*q + c*q**2 + 4.\nAnswer: 5*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**(-9\/4)*g)\/g)*g**3)**(-6\/31) assuming g is positive.\nAnswer: g**(-9\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3043)\/(-2601) - 140\/2380?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5165, -41763, -141101, -334547, -653469, -1129235, -1793213?\n\"Answer: -5228*c**3 - 2*c**2 + 4*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n**2 + 3*n - 2. Let r be a(1). Let t be r\/(-7) - 4\/14. Factor 2\/7*g**2 + 8\/7*g + t.\nAnswer: 2*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 2, m: 4, v: 2, a: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 116. Let l(q) = q + 118. Let u(x) = -2*i(x) - 3*l(x). Let p be u(-26). Solve -p*w = -4*w - 5*n - 31, 11 = 2*w - n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100110 - 1100?\nAnswer: -110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 96 times 2957\nAnswer: 283872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 10*m - 12. Let x be s(-10). Calculate the remainder when 6\/x + 102\/4 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 35 = -0*c. Suppose -2*k = -4*t + 327 + 185, 3*t - 390 = 3*k. Let u be t\/c - (-2)\/(-5). Let n(w) = w**3 + 4*w**2 - 2*w - 5. Determine n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65864 is divided by 2364?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 3*k - 46, 3*u - k - 1503 + 1487 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, q: 1, r: 2}. What is prob of sequence qrr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 1387, 4685, 11117, 21727, 37559, 59657?\nAnswer: 89065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1\/200*-15258. Let w = 305 + g. Let y = w + 19\/25. What is the closest to -1 in 0, 4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a + 4 = -86*a, -4*w - 16*a - 29*a = -12*a + 33 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 10782246.4\nAnswer: -64693478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*v - 15 = 0, r - 3*r - 3*v = -7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 37049*i + 38. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 113 - 113.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 695263.3nm?\nAnswer: 0.6952633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 282023 and 17.\nAnswer: 4794391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 4*q - 5. Let u = -4 - 3. What is the remainder when 61 is divided by k(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 15, -50, 4, -110?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/30 and (2052\/(-6993))\/(-4 + -1).\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -1\/2 (c) 3 (d) -2\/17 (e) -2 (f) 3308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -3*(-2)\/(-3). Suppose 0 = 3*v - 3*u - 15, 0*u + 24 = 2*v + r*u. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/(-21))\/((-2)\/(-7)). Calculate the common denominator of -1 - (-57)\/(-72)*l and (-2)\/12 - 2024\/96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -1 + 3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 - -278. Suppose 0 = -2*u + g*n + 24, 15*u - 10*u + 4*n - 33 = 0. Is 8 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 26*m + 1005. What is the remainder when i(58) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 54*z**2 - 16*z + 20. Calculate v(18).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*-5*-1*(-3 + 2*sqrt(7)))**2*2.\nAnswer: -2080*sqrt(7) + 6952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10379, 20758, 31135, 41510, 51883?\nAnswer: 62254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2108*w**3 + 969*w**2 + 535 + 901*w**3 - 970*w**2 wrt w.\nAnswer: 18054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 (base 7) in base 2?\nAnswer: 101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**3 + 8*h - 6. Let n(k) = 8*k**3 - 5*k + 4. Suppose -7*l + 19 = -16. Let u(r) = l*m(r) + 8*n(r). Differentiate u(o) with respect to o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65255 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/520)\/(30\/144)*2000\/30?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 11*p**3\/6 - p**2\/2 + 53*p + 9. Let x(j) = j**2 + 4*j. What is x(f(d))?\nAnswer: 121*d**2 + 22*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-93) + 23541\/109740.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqxxxxxqxqqq. Give prob of picking 2 x.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3435 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 3}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14943.00008712 + -14943. What is y rounded to six dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998113?\nAnswer: 7, 19, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 7606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Let i be (1 + -42)*9\/3. Let m = i + 613\/5. Put r, -5, m in ascending order.\nAnswer: -5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 + -0.02. Sort -5, b, 0.3.\nAnswer: -5, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 - 5*j + 1. Determine y(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*(c*c*c\/c**(2\/7)*c*c)\/c*c)**11)**24)**(5\/9) assuming c is positive.\nAnswer: c**(7920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8818)\/5*(-2)\/4*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2 + 1188*x**3 + 0 - 399*x**3 - 398*x**3 - 2*x**2 - x - 392*x**3. Calculate u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2008\/(-5))\/(-12 - 16\/((-3200)\/2395)). What is the highest common divisor of d and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2190705 and 26?\nAnswer: 56958330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311527323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + j. Let t be q(3). Let c = -110 - t. Let x = c + 87. What is the smallest common multiple of x and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200368372 and 2060.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6) - sqrt(42)\/sqrt(7) - sqrt(6)))\/sqrt(2).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458325?\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 93. Let g be k(8). Let u = 60 - g. What are the prime factors of u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*l**3 - 86519735*l**2 + 10693827504005*l - 5194124376085 = 0.\nAnswer: 17\/35, 247199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717 is divided by 349?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6945, -6923, -6855, -6717, -6485, -6135?\n\"Answer: 4*v**3 - v**2 - 3*v - 6945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4896*s = 4361*s + 2675 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1.7564604?\nAnswer: 1.7564604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 51639 = 5*q, -x + 20658 = -45*q + 47*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-54)\/(-72))\/((-1)\/(-20)). Let d(o) = -o + 8. Let z be d(5). Calculate the highest common factor of z and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 0.51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 26. Is (35633\/j)\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 5, l: 1, b: 1, z: 2}. What is prob of picking 1 l, 2 z, and 1 b?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 + 90781*j + 272352 = 0. Calculate j.\nAnswer: -3, 90784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4281 and 10?\nAnswer: 42810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/24 - 5*y**2 - 8*y. Let b(r) = -40 - 5*r - r + 37 + 4*r. Calculate n(b(d)).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*k + 25, -3*k - 4*w - 6 = -41. Let t be (20\/(-70))\/((-8)\/14). What is the closest to t in -2, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Suppose 0 = -10*a + 1 - 41. Let j be 965\/20 - f\/a. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 times -0.4?\nAnswer: 400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m - 69. Let w be g(11). Is w >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 2. Let r be u(-1). Let h be (-14 - (0 - 3)) + (-4875)\/(-443). Does r = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*0)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - a - 96 = 3*g, 3*g = a + 296. Suppose -2*s - 2*h - g = 2*h, -s - h - 50 = 0. Let t = 7 - s. Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634 a factor of 108586650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14 + 636\/(-45) - (-97924)\/30.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 = -3*b + 178. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 12*p - 11*p - 23, 3*p = -2*r + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -963 by -107.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*g - 7. What is the units digit of 0 + 0 - -128 - (g - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 7, g: 6, w: 1}. Give prob of sequence jjg.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.822? (a) -6.02 (b) 0 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, -766, 18\/5?\nAnswer: -766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*b - 21 + 21)*((4*b - b + 0*b)*(-3 + 2 + 3) + 5*b + 0*b - 3*b) to s*b**2 + p + n*b and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:45 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c - 4*a - 59276 = -51*c, 5*a = c - 29629. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 227635?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 293621*b**2*d*j**2 - b**2*d*j + b**2*d - 6*b*j - 6103*j wrt j?\nAnswer: 587242*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuooobiioooo. What is prob of picking 1 o, 2 i, and 1 u?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -225\/4. Let f = 16.1 - 16. What is the closest to -1 in 1\/3, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in 2, -3\/4, -21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/95 + (4\/10)\/(2\/23). Solve -h*c + 40 = 5*r, 13*c - 32 = 8*c - 3*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 267 + 11*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 + l**5\/60 + l**3 - 891*l**2. Let s be ((-6)\/(-8))\/(1\/(-4)). Does 6 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131550*t**3 - t**2 + 25*t - 141104915 wrt t?\nAnswer: 394650*t**2 - 2*t + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/5 - 9)*1\/3. What is the third biggest value in -1\/7, -1, n, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 8181?\nAnswer: 8180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3*y + 11*v**2*y**2 + 1889*v - 38454*y**2 + y wrt v.\nAnswer: -6*v**2*y + 22*v*y**2 + 1889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/6 + 7*c**4\/2 + c**3\/2 - 1837*c**2\/6 - 484*c + 7986.\nAnswer: (c - 6)**2*(c + 11)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -10. Suppose 0 = -c + w*c - 20. Let n = 11 - c. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16298 + 30109. Does 157 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98.9 + -99. Are -44 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.22 - -31.38. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89900.3 plus 141460.048?\nAnswer: 231360.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m - 834325*m**3 + 834323*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 4, q: 3, i: 4}. Give prob of picking 2 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -37 - (0\/(-4) + -2). Let x = l + 64. What is the highest common divisor of x and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -a9757012?\nAnswer: -a9757017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -2044, -4432, -7544, -11242, -15388?\nAnswer: -19844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 45 + -2 + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - y, 0 = -5*g - y + 3395. Let u = g + -2677\/4. Calculate the common denominator of u and -13\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 7*i - 14 - 4*i + 14*i + 3.\nAnswer: 37*i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u. Let l(p) be the third derivative of -281*p**5\/60 + p**4\/24 - 6382*p**2. Give l(v(y)).\nAnswer: -28100*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2 + 2*k - k**2 + 4 + 2*k. Suppose 0 = 2*p + 8 - 22. Let n(h) = -h**3 + 6*h**2 + 8*h - 1. Let w be n(p). What is o(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031312 - -1202?\nAnswer: -1030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1511 - -1071. Let m = h - -441. Put -2, 6, 3, m in ascending order.\nAnswer: -2, m, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.1 (b) -1\/3 (c) -2\/7 (d) -873 (e) 668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*t - 4, 2*r - 1 = 5*t - 13. Let x(q) = q + 2. Let h(m) = m + 4. Let c(v) = 3*h(v) - 5*x(v). Give c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1374 + -1374.3. What is the closest to f in -3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 14*s + 42. Suppose -6 + s = 4*o. Solve o*x - x = 4*c + 15, 5*c - x = -18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549934 by 4.\nAnswer: -274967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, 10, 3, -2 in decreasing order.\nAnswer: 10, 3, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1117, 1113, 1109, 1105, 1101?\n\"Answer: -4*d + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + 47.08. Let i = -42 + q. Which is the biggest value? (a) i (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 4*u**2 - 2*u + 2. Let m be y(-2). Let d = 12 + -20. Let h = m - d. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*a - 1928*a = -88 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v - 14 + 114*v + 4 - v**2.\nAnswer: -v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 9, 4\/7, -0.1, 12\/5, 0.3 in increasing order.\nAnswer: -0.1, 0.3, 4\/7, 12\/5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -908*y**2 - 19*y + 36. Let x(z) = -303*z**2 - 7*z + 13. Determine -4*w(a) + 11*x(a).\nAnswer: 299*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 756.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6638.407 microseconds to seconds.\nAnswer: 0.006638407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 1380 = -14*b. Suppose -5*s + b = -s. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = -32. Factor -2*w**2 - q*w - 1 + 5 + 4*w**2.\nAnswer: 2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 56071838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1991906 divided by -1106.\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -31, -32?\n\"Answer: -a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535387 = 208*b - 148*b - 458933. What is the third smallest value in -2, b, 5\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14954 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -217.07. Let r = y + -0.07. Sort -4, r, -2\/3 in descending order.\nAnswer: r, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.027 + -93.973. Let t = -7382525 - -7382618.999805. Let a = t + o. What is a rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 106*z + 676. Let k(l) = l**2 + l. Let j(s) = 2*k(s) + t(s). Factor j(p).\nAnswer: 4*(p - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + 1 + sqrt(405) - (sqrt(405) - ((sqrt(405) - (sqrt(405) + -2))*4 + sqrt(405)))) + -5)**2.\nAnswer: 108*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) + 1)*-4 + 4)**2 + 0 + 4*(-1 + sqrt(112)) + -4.\nAnswer: 16*sqrt(7) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 482*m - 140. What is the thousands digit of t(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 - 8812365*o\/4 - 2203092.\nAnswer: 3*(o - 2937456)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/65*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3829491 by -81.\nAnswer: 141833\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3293, 6585, 9877, 13169, 16461?\nAnswer: 19753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahahaaahahaaaaahahh. What is prob of sequence aa?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25515 and 18348435.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(720))**2 - (sqrt(720) + -2)**2*-5) + (2*(sqrt(720) + 1 + sqrt(720))*-4)**2.\nAnswer: 2832*sqrt(5) + 191604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1 - 0)*20\/100. Let d(x) = -2*x + 8. Let h be d(-8). Let s be (-18)\/h - 1\/4. Sort -9, k, s.\nAnswer: -9, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 0, -3*l + 61*b - 58*b = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222111 + -1?\nAnswer: 10222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1094\/1641)\/(-1*2\/(-18))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = -34 + 20 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 24*z = -26*z + 26, 8*q = 2*z - 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5546\/(-4230) + (-20)\/(-18). Suppose -4*i + h = 5*h - 32, -h + 11 = 2*i. Which is the closest to l? (a) i (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299\/5 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 44 = -4*d, -12*b - 2*d = -16*b + 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18)\/(16\/(-72))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -3*b**5\/20 + 3*b**4\/2 - 11*b**3\/2 + 9*b**2 + 2*b + 8. Factor g(a).\nAnswer: -3*(a - 3)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 5*f**2 - 4*f**2 + 0*f - f)*(f**2 + 0 + 0).\nAnswer: -4*f**5 + f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27*j - 5. Let g be q(5). Let x = g + -82. 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: Simplify (sqrt(7) - (-4 + sqrt(28)\/sqrt(4)) - 4*sqrt(28)\/sqrt(4))**2*6.\nAnswer: -192*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 5363.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/103, 1?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*s + 110352, -5*v + 7*s + 103591 = -34340. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-252)*-12)\/(2\/(-3))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 4*l**2 - 140*l**3 - 2*l**2 - 122*l**3.\nAnswer: -262*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w + 43 = -4*w, t + 16 = -5*w. What is the remainder when 34 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 11458?\nAnswer: 91664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 998396770 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s)**(3\/11)\/(s**7*s*s**(2\/11)*s))**(-30) assuming s is positive.\nAnswer: s**(2670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 40. Suppose -g - 5 = -2*r - 1, -4*r = 5*g + b. Let t be (1\/26)\/((-3)\/(-12)). What is the third smallest value in -2, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 629 - 2519\/4. Let h = -0.81 + -1.19. Let g = 3.3 + -3. What is the closest to -1 in m, h, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*a**3*k*o + 2*a**3*o**2 + a**2*k*o - 173*a*k*o**2 - 2*k*o wrt o?\nAnswer: 4*a**3 - 346*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17181 rounded to the nearest one hundred?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*p + 1 + 31, 2*c = -5*p - 4. Let s be (c\/(-10))\/((-8)\/20). Factor -1\/2*o**s - o + 1\/2*o**3 + 0.\nAnswer: o*(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = -3*i, -10 = -4*i - 30. Let v(r) be the third derivative of 0 - 4*r**2 + 0*r - 1\/3*r**3 + 1\/30*r**l + 0*r**4. Factor v(o).\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 931 (base 10) to base 8\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 6*i - 3. Let z(c) = 5*c**2 - 11*c - 5. Let m be ((-20)\/((-20)\/(-4)))\/1. Give m*z(j) + 7*n(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = 2. Let x be (8\/20)\/((-1)\/b). Let n(t) = 2*t**2 + 1. Is n(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 31*b**7\/210 - 9*b**4\/8 - 1261*b**3\/6 - b**2 - 26*b + 11. Find the first derivative of g(h) wrt h.\nAnswer: 124*h**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let s(q) = 8*q + q**z - 2*q**2 - 2 - 6*q**2 + 3. What is the remainder when 22 is divided by s(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 767345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6108306 is divided by 872?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9570.155 tonnes?\nAnswer: 9570155000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 56 = -12. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 5*w)*(-5*w + w + 2*w) - 3*w**2 + 4*w - 1 - 2*w**2 + 3*w**2.\nAnswer: -10*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:57 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(2299) + sqrt(2299))*-2*-6)**2 - (-1*sqrt(209)*4)\/((-1*sqrt(55))\/sqrt(5)).\nAnswer: -4*sqrt(19) + 33105600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9075 is divided by 293.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -23, -22, -21, -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnzzz. What is prob of picking 1 z and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 477.4483 hours?\nAnswer: 1718813880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-48) + 20\/6. Which is the second biggest value? (a) -2 (b) -3 (c) f (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217155 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: Which is the biggest value? (a) -0.2 (b) 6 (c) 4\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.5. Let y = 1.1 - 1.223. Let w = -0.223 - y. What is the nearest to w in 0.3, 3\/5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 50)*(-c + 2*c + 0*c).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4053794 millilitres in litres?\nAnswer: 0.0004053794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x + 3. Let u be n(-3). Let v = 81 - u. Suppose 3*p - 29 = 2*k, p + 2*k + 2*k - v = 0. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1787951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 5, -11807, -0.1, -52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.063, 23, -2\/9 in ascending order.\nAnswer: -3.063, -2\/9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.034440133 + -0.03447. What is y rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 6640359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/43? (a) 3 (b) -79174 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-16)\/(-5))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49416 and 18966.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*l + 201*l + 153808 = m, -4*m - 4*l + 615280 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/27 + -10 - 12578\/171.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -106*v**2 + 11. Let g(k) = -105*k**2 + 8. Calculate 4*g(r) - 3*i(r).\nAnswer: -102*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -319, -723, -1283, -1993, -2847?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3564240.8 rounded to the nearest 1000?\nAnswer: -3564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -12\/37 = -2\/21577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 11 - 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51214 = 543435*r - 544318*r for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54276303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 7*l + 2. Let x(n) = 2*n**2 - 14*n - 4. Calculate -7*i(t) - 3*x(t).\nAnswer: t**2 - 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 439877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/((-1)\/24). What is the tens digit of x\/(-14)*(-539)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (68\/(-12))\/(1\/18). Is 5 a factor of (-5)\/(-15)*u\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -15 + 6. Let f = 0.4 + -0.2. Let d = 0.1 + f. What is the nearest to m in d, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.457 + 0.357. Which is the closest to 0? (a) v (b) -3 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(180)*1 + sqrt(180)) - sqrt(180))\/(sqrt(1296)*1 + sqrt(1296)))\/(2*(-2*sqrt(90)*1)\/((sqrt(99)*1)\/sqrt(11))).\nAnswer: 13*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/9 + (1 - (-2)\/(-6)). Suppose -4*z + o*j + 80 = 0, -4*z + 23 = 3*j - 25. Let a(g) = g**2 - g - 63. What is the lowest common multiple of a(10) and z?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5940 and 305316.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 19. List the prime factors of (-3)\/y + (-98)\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -5, 24, -681, -22, 2 in increasing order.\nAnswer: -681, -22, -5, -4, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.83826 decades to millennia.\nAnswer: 0.1883826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*r + 8 = -a, -28 = 4*a - r. Suppose 16 = -4*f - 16. Let p be (-2)\/f*a + 1. What is the nearest to 5\/4 in 4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 10*y - 5*y**2 + 23 + 1\/3*y**3. What is j(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-28)\/(d*(d\/d**(-25))\/d*d*d*d))\/(d**(-18))**(2\/111))**(-1\/5) assuming d is positive.\nAnswer: d**(2097\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -z + 377 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 115, 221, 363, 541, 755, 1005?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -35313232?\nAnswer: 35313204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070794 rounded to five dps?\nAnswer: 0.00708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -5\/13, 2\/5, -0.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150004 is divided by 3571?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*n**2 + 103*n**2 - 2*n**3 + 2555 + 1153 to the form k*n**2 + d + v*n + j*n**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 4*a - 68, -x - 38 = -4*a. Let h be ((-2)\/4)\/((-45)\/x). What is the third biggest value in -0.4, h, 0.3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-413)\/(-35) - 13)*1820\/(-104)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63275.27mm in meters?\nAnswer: 63.27527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 - 9)*(n - 4*n + 2*n) + 113*n + 37*n + 70*n + 45*n in the form p + b*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*r**3 + 1155*r**2 + 2385*r + 1205.\nAnswer: -5*(r + 1)**2*(5*r - 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 5*x - 6. Let s be b(-7). Let j = -4 + s. Suppose g + j = 0, 0*c - 2*g - 116 = -4*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (sqrt(432) + -1 + sqrt(432) + -4 - sqrt(432)))**2 + sqrt(432) + -2 - 5*sqrt(24)\/(sqrt(1152)*2).\nAnswer: 283*sqrt(3)\/24 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/13))**(31\/4)*(w\/(w**37\/w))\/(w**(-5\/9)\/w))**(1\/29) assuming w is positive.\nAnswer: w**(-16489\/13572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - 0.66. Let w be -6*42\/(-117) + -2. Which is the third smallest value? (a) w (b) q (c) 2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(-12*27\/1458)*(-6)\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70601737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347.8 - 344.8. What is the second smallest value in 26, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24398 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 3 + 0*w**2 - 2*w**2.\nAnswer: 4*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t. Suppose -5*y = -0*y - 20. Let s = y - 3. What is v(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**8\/168 - j**7\/210 + 106*j**6\/5 - 4133*j**5\/60 + j**3\/6 + 2*j**2 - 68*j. What is the third derivative of d(p) wrt p?\nAnswer: 120*p**2 - 24*p + 15264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41890000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjsjjjsjjjjjjjpsj. What is prob of picking 1 p and 1 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17951806*m - 286*m**2 + 17900746*m - 4*m**3 + 98568 + 1182*m**2 = 0. What is m?\nAnswer: 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 15*d = -2*i - 9, 0 = -6*d - 4*i - 30 + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 3*l**3 + 2*l**3 - 4*l**3 + 4*l**3 + 2*l**3 + (0*l**2 + 3*l**2 - 2*l**2)*(-1 - l + 1) - 3*l**3 - l**3 + 2*l**3 - 210*l**3 + 563*l**2 - 563*l**2.\nAnswer: -209*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 6*u**2 - 6*u**2 - 1)*(u**2 - 3*u**2 + 3*u**2).\nAnswer: 2*u**5 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwe. Give prob of sequence ww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-38 - (-22 + 1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1122\/528 - (-8)\/(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17) + 1 + sqrt(17) - (4*sqrt(17)*-1)**2.\nAnswer: -273 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o**3 - o**2 + 11*o - 8. Let u be n(2). Which is bigger: u or 1462\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 divided by -45?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1997 - -894. Let f = b - -703. What is f rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402951 (base 12) in base 16?\nAnswer: -3cd2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*u - 490, 4*d - 3*u + 6*u = 392. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -16864?\nAnswer: -7\/16864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.243 - 0.143. Let w = g + -4.8. Which is smaller: w or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-520)*((-130)\/12)\/(-13)*(-112)\/(-70).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -687465 divided by -3?\nAnswer: 229155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -11, -2, 23, 4, -5 in ascending order.\nAnswer: -11, -6, -5, -2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 44664076?\nAnswer: 44664121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiyyzydzybizhihizi. What is prob of sequence bizh?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + m**2 + m**2 + 7*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 3*s + 4*s)*(6 + 5 - 4)*(-49 + 67 - 38)*(-2 + 4 + 0) as h + a*s and give a.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 833.74 nanometers in centimeters?\nAnswer: 0.000083374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 + 4*g - 2. Let r be h(-5). Suppose 13 + 2 = r*q. Suppose 15 = q*m - 5. Solve 5*n - 25 = -2*v, -m*n + 12 = -4*v - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 + 724 + -1 + 54 + 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -20. Let w(i) = -6 + 7 + 10 + 44*i + 16 + 2*i**2. Is w(m) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(8))**2 - (sqrt(48) + -3).\nAnswer: -4*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g + 7. Let d(p) = 2*p**2 - 10*p + 3. Let u be d(g). Let h = -4.7 - -0.7. Sort 1, h, u in decreasing order.\nAnswer: u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, x: 1, q: 1, k: 5}. Give prob of sequence qxkp.\nAnswer: 13\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*t + 0*t = -554, -2*r + 289 = -3*t. Let j be (-10)\/(2 - -3) + 132. Suppose r + j = 6*k. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230530 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 16*l + 13*l - 592, 0 = 5*z + 4*l - 1457. What is the remainder when 17870 is divided by z?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 947 = 4880. Suppose -2*n - d - 559 = -4*x, -246 = -x + 2*n. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.41 - 0.01. Let n be ((-5)\/(-30))\/(4\/(-6)). Put n, -12, c in decreasing order.\nAnswer: c, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 12, -7, -4, 443 in increasing order.\nAnswer: -8, -7, -4, -2, 12, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/28 + 1355\/28. Calculate the common denominator of d and 309\/4*4\/(-138).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16408*r - 16429*r - 672 = 0 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -258660 plus 45608817?\nAnswer: 45350157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*y - 251 = -199*y + 43. Sort -3, 65, y, 3 in increasing order.\nAnswer: y, -3, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (-7 - 17) + -17\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16782 and 18180?\nAnswer: 50849460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*h - 2*v + 9, 0 = -v. Suppose -h*i = i - 48. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkzb when four letters picked without replacement from zgzzzzzzzkbbzzzrzzzr.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 47*b - 43672 = -48*b, -5*v = -2*b - 72805. What are the prime factors of v?\nAnswer: 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x**(-2)\/x))\/((((x*(x**(2\/25)*x)\/x)\/x)\/x)\/(x**1\/x)) assuming x is positive.\nAnswer: x**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5738 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 634717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -10 = -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f. Let z be 2\/(-7) - (-2)\/7. Let k = z - f. Solve k*v = -4*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(2\/4)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 + 8*h - 2. Let c(i) = -5*i**2 + 7*i - 3. Let n(b) = 2*c(b) - 3*f(b). What is the second derivative of n(l) wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 2. Let l(i) = i - 1. What is -2*l(m) + 2*w(m)?\nAnswer: 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12797 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 38*x - 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let i = -481 + 476. Sort 9, y, 0, i in ascending order.\nAnswer: i, 0, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*t = -10 - 2, 5*t + 18 = 3*h. Let d be 2 + (2\/h)\/2. Suppose -d*y = 4*q - 47, -y + 10 = 4*q - 35. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10*s**2 + 0 + 4 to the form f + o*s**2 + n*s and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336795 is divided by 1188.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(8\/(-498))*48\/(-36). Solve -29*k - c = -21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 41*j**2 - 11*j - 4. Let s be y(-20). Let i = -181 - s. Let x = -0.3 + 0. Which is the third smallest value? (a) i (b) x (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/16 or 0?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604979207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1\/(-5)*8\/8). Let o(v) = -v**3 + 5*v**2. Let b be o(d). Solve -25 = -b*i + 5*i + 5*q, -25 = 3*i + 5*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - x + 15 - 4.\nAnswer: -x + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 - 3*l**2)*(-2 + 2 - l)*(-2 - 1 + 1 + 6 - 3 - 2 + 3 - 3 - 2 + (4 - 1 - 2)*(-2 - 3 + 3)).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 2*u - 6, 3*u + s = -3692 + 3720 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 225 = -4*p + 612, 0 = 2*p + 5*j - 213. Suppose -g + 1 = 4*n - p, 0 = -3*g + 3*n + 240. What is the tens digit of 1*(-416)\/(-14) + 24\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Suppose -2*w - 5*n = -45, d = -5*w + 6*w + 5*n - 15. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 81*p - 2632. Let b be s(73). What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*w**2 - 401*w**2 + 796*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93204 + 93204. Suppose s + s + 5*k = -27, 5*s = 4*k - 117. Let z be 11\/s + 4\/6. What is the nearest to v in 1, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 1954\nAnswer: -13678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 197152 and 355520.\nAnswer: 21686720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 422187100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**9\/9072 + l**8\/2016 + l**7\/1512 - l**4\/3 - 5*l**2. Let k(z) be the second derivative of p(z). Factor k(v).\nAnswer: 5*v**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljlqqhjh. What is prob of picking 2 h and 1 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/60 - 41*f**3\/3 + 102. Let o(b) be the third derivative of j(b). Let s(m) = 3*m - 28. Give s(o(d)).\nAnswer: 6*d - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 4)*(4*d + 0*d - d) + (3*d - 2*d + d)*(1 - 6 + 2).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.75 + -0.15. Let m = 1.3 - c. What is the closest to 3\/4 in 0, m, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(10) + sqrt(90)))\/(-1*sqrt(20)\/sqrt(4)) - (sqrt(20)\/(-3*sqrt(10)) + sqrt(8)\/sqrt(36)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-4))\/(3*(-55)\/(-132)). Let g = 0.2 - -1.5. What is the fourth smallest value in f, 4, g, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -i. Let s(a) = -1. Let g(b) = b. Let p(o) = -5*g(o) - s(o). List the prime factors of p(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452002449 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29023.3mm?\nAnswer: 2902.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 16*d - 9. What is the tens digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31030 + -4?\nAnswer: 31021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (52\/13)\/(1\/(-31)). Let n = 177 + q. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9809 (base 12) to base 8\nAnswer: -40511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98135, -196303, -294501, -392729, -490987?\nAnswer: -589275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4644\/30563 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q. Let h(v) = 3*v + 5*v + 7*v - 14*v. Let b(c) = c**2 + 3*c. Let g(a) = b(a) - 3*h(a). Calculate i(g(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*q**2 + q**2 + 11*q - 11*q - 475*q**2.\nAnswer: -785*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k)\/k*k*k**24 assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 42 = -5*b - 148, 48 = -2*b - 4*q. Is b smaller than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10708908 divided by 1784818.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 + 0*s**7 + 0*s**6 + 0*s**5 + 0*s**3 - 19\/24*s**4 - 6*s**2 - 3\/28*s**8 + 0*s. What is the second derivative of f(b) wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/39)\/(1\/3). Suppose -2*s + s - 3*k - 8 = 0, -4*k = -i*s + 32. Let m = -2 - -6. Solve -m - 8 = -s*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4519, -4505, -4475, -4423, -4343, -4229?\nAnswer: -4075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + h**2)*(2*h**2 + h - h) - 4787*h**3 + 11*h**4 + 4766*h**3 + 2*h**4 + (2*h**3 - 4*h**3 + 5*h**3)*(4*h + 0*h - 3*h).\nAnswer: 18*h**4 - 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -48. Suppose -7 - 7 = -2*z - c*m, 4*m = z + 23. Is (-2)\/z + 680\/6 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, w: 2, e: 1}. Give prob of picking 1 e, 1 x, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, a: 3, r: 2, m: 5}. Give prob of picking 2 r and 2 m.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*o - 2*o - 37, 4*h + 31 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 9. Let s(x) = 18*x**2. Let z be s(-3). What is the greatest common divisor of a and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138.8 + -160. What is r rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3614725*u + 1255629?\nAnswer: 3614725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**3 - 88*i**2 + 6*i. Let p(v) = 19*v**3 - 175*v**2 + 11*v. Let a(b) = 11*o(b) - 6*p(b). Find the third derivative of a(d) wrt d.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 898?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 11*r**3 + 1156*r + r**3 - 1156*r + 7 to the form s + f*r**2 + u*r**3 + m*r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 10}. What is prob of picking 3 r?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.15. Let v = 4537 + -4539. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 1, d: 2, b: 1, t: 2, z: 2}. Give prob of picking 1 q, 1 u, 1 t, and 1 z.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/95362 (b) 0.2 (c) -43\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -980*a**2 - 603*a**2 - 408*a**2 + 140 + 498*a**2 - 146 as v*a + d*a**2 + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = -4*j - 9, 4*f + 3*j - 3 = 0. Suppose -2*z + 210 = f*z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 11*t**2 - 19*t + 13. Let j be a(9). Solve -j = m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -336*m - 134. Let k(a) = 588*a + 238. Let i(x) = 9*k(x) + 16*v(x). Let p(o) = 3*o. Determine p(i(w)).\nAnswer: -252*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1034)\/10 + 101 - 426\/(-190).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*q**2 - 3*q**2 - 53*q**2 to the form x*q**2 + j + o*q and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73171 is divided by 36479?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2.949678.\nAnswer: -0.2949678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 1. Let a(o) = o**3 - 10*o**2 - 3*o + 3. Let t(x) = -a(x) - 5*v(x). Let s be t(4). Solve 16 = -4*d - s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 10*j**2 + 14*j - 8. Let v(k) = k**3 - 11*k**2 - 13*k + 7. Let t = 70 - 73. Let z(q) = t*n(q) - 2*v(q). What is the tens digit of z(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2553031 (base 6) to base 8.\nAnswer: -420113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1039 >= -1041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 3*m - m - 15*m**2 + (-4*m + 4*m + 7*m)*(3*m - 2 - 6*m + m).\nAnswer: -27*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*c**2*n**3*r**2 + 86*c**2*n**3 + 20*c**2*r**2 + 2*c**2 + 2*c - 7*n**2*r**2 wrt n?\nAnswer: -96*c**2*r**2 + 516*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.628292 meters?\nAnswer: 8628292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*a**3*d**2*u - 5482*a**3*d*u**2 - 28*a**3*d - 2*a**3*u**2 - 307*a**2*d**2*u**2 + 2*a*d - 7*a*u**2 - d*u + u wrt d?\nAnswer: -314*a**3*u - 614*a**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 360757?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34639 + -4?\nAnswer: 34635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 2, h: 1, y: 5, e: 6, z: 2}. What is prob of picking 3 h and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6358474631 + -3.8\nAnswer: -6358474634.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -563a - 15?\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -223, -13655?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128981 is divided by 581.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 + 374. Suppose -65 + 21 = -c*n. Solve 6*r - n*r + 1 = o, -o = r - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o + 4. Let a be g(-7). Let d be (a\/(-9))\/((-2)\/(-12)). What is the second derivative of -110*q**2 - q - 6*q - 6*q**4 + 110*q**d wrt q?\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + w - 17, 2*j + 11 = 5*j - 5*w. Suppose 8 = j*x - 244. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1.4, 1 in descending order.\nAnswer: 1.4, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0*16\/144 - 2010\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241645 (base 13) in base 16?\nAnswer: d1fc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94856*d**2 - 94905*d**2 + 6*d + 3 + 27.\nAnswer: -49*d**2 + 6*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1800 - -1805. Solve j - 4*r + 6*r = -13, 2*j = -s*r - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-2*f**2 + 2*f**2 - f**2)*(38 + 312 + 225) in the form j*f + l*f**2 + a and give l.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*n - 118*n - 506. Suppose 4*o + 3*m = 698, -3*o + 522 = -0*o + 3*m. Calculate the highest common factor of n and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77567, -155131, -232707, -310301, -387919?\nAnswer: -465567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10226538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/1)\/(-6)*9. Is h at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3312739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14873987 to the power of 1\/2, to the nearest integer?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4622 or 4623?\nAnswer: 4622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-3)\/6). Let z(t) = 5*t + f + 2*t + 2. Let m be z(6). Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 + -5 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*q**3 + 58*q**3 + 77*q**3 + 0*q - 197*q**3 + 0*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*o - 8, o + o + 8 = 0. Let u(t) = 941*t + 27. Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 17. What is m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 96e?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-35)\/(-15))*(-1 - 2). Solve 2*b = -f + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18152272 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/37)\/y*y**(15\/7)\/y assuming y is positive.\nAnswer: y**(23\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 181298024, 181298026, 181298028, 181298030, 181298032, 181298034?\n\"Answer: 2*u + 181298022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7587504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 + n + 3. Let m be d(0). Let j(u) = -2*u**2 + u - 4. What is j(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhiqhqiccqhbqhq. What is prob of sequence iq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 + 40*j**4\/3 - 170*j**3 - 1780*j**2\/3 - 1232*j\/3 = 0. What is j?\nAnswer: -28, -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 10908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 + -147.94. Let j = 3.841 - 10.941. Let f = j + u. What is f rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025614+0\nAnswer: -0.025614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/((-9)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1772, -3561, -5428, -7397, -9492, -11737, -14156, -16773?\nAnswer: -19612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(624)*-2 + sqrt(624))*2 + sqrt(624))\/sqrt(12).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t + 0 + 0*t**3 + 11\/20*t**5 + 0*t**7 + 0*t**6 - 51*t**2 - 3\/28*t**8 + 0*t**4. What is the third derivative of w(l) wrt l?\nAnswer: -2160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4 + 3*l**2 + 2*l - 2*l**3 + 3*l**3 - 3*l + 1. Let z be a(-3). What is the least common multiple of (11 - 1) + 0 - z and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.422 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13113 = -2824*t + 3247*t for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**3 - 61*h**3 - 2 + 34*h**3 + 4 - 14*h to the form j + o*h**2 + s*h**3 + t*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 50. Suppose 26 = r*v - 2*t, -4 = -3*v - 3*t + 2. Let f(w) = -w - 12 - w + 2*w + w. Determine f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360125.\nAnswer: 5, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from giwgpggggrbgwb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4584, -4588, -4592, -4596, -4600, -4604?\n\"Answer: -4*r - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/2 + 5*u**3\/2 + 5*u**2\/2 - 5*u\/2 - 3 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -81. Let u = o + -9. Calculate the highest common divisor of u and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Let n(w) = -r*w + 5*w**2 + 4*w + 4 - w**3 + 0*w. Let b(l) = l - 5. Let s be b(10). What is n(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -0.01\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*h - 262 + 262)*(-3*h + 6*h + h + (3 - 3 - 2)*(-h + 3*h - 3*h)) in the form t*h + k + y*h**2 and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 428859126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(sqrt(5) + -2).\nAnswer: -8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(684))**2 + sqrt(1216)*-4.\nAnswer: -32*sqrt(19) + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 311, 236, 151, 56, -49, -164, -289?\n\"Answer: -5*y**2 - 60*y + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3584 + 3586. Determine f so that -2 - 5\/2*f - 1\/2*f**d = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25414.9 - 25417. Which is the smallest value? (a) i (b) -4\/7 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 75, 1\/2, 21.4 in increasing order.\nAnswer: -0.3, 1\/2, 21.4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0 - 3 + 3 - 2 + (3 + 1 - 2)*(-2 + 4 - 4) - 1 - 2 + 2)*((k + 0*k + k)*(3 - 3 - 2*k) + k + 2*k**2 - k - 4*k**2 + 4*k**2 - 3*k**2).\nAnswer: 65*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 16*p - 224. Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10\/6)\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9 + 3. Let q = 1 + 1. Suppose 4*y - 4*h = 0, 0*h = -5*y - q*h + 28. Solve y*t = -f*i - 6, -6*i + i = -t + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 5, d: 4}. Give prob of picking 1 d, 1 w, and 1 t.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -109*j**5\/5 + 89*j**2\/2 - j + 877. What is the first derivative of z(w) wrt w?\nAnswer: -1308*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28823.1 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -0.2, 7.02089?\nAnswer: 7.02089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, -1430, 0.1 in increasing order.\nAnswer: -1430, -4, -2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 446*r + 39 + 1681*r.\nAnswer: 1235*r + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 644 + 93*j**2 - 644 to b + t*j**2 + k*j and give t.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2302013 (base 4) to base 11.\nAnswer: -8623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04914, -8, 2618.\nAnswer: -8, -0.04914, 2618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (721 - 711 - (8 - (-1 + 4))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((156 + 221 + 42 - 66)*(-3 + 2 - 1) + 4 - 2 + 0)*(3*d**5 + 3*d**5 - 2*d**5).\nAnswer: -2816*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - 0.4. Let t = -177 - 39. Let k = -211 - t. Put f, k, 0 in increasing order.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 8*z. Let y be q(-8). Suppose -2*o + y*o = 234. What is the common denominator of 57\/20 and 15\/(-9)*o\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.8. Let q be (168\/(-420))\/(8\/10). Which is the nearest to q? (a) 4 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.97 and -108.216?\nAnswer: 90.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1053 in 0.4, 2\/13, 1\/1939?\nAnswer: 1\/1939","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + -334. Let u = n + 147. What is the smallest value in 3, -71, 3\/7, u?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 17818?\nAnswer: 35636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 349, -3, 2, 1 in decreasing order.\nAnswer: 349, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 35. Suppose -1 - 5 = -l + r, 8*l = -2*r - 52. Put -1, f, l in descending order.\nAnswer: f, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t = -66*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10\/11, -19, -0.7, 26 in decreasing order.\nAnswer: 26, 1, -0.7, -10\/11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001073 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -624*h**2 - h**5 + 624*h**2 - 1 + 23*h**4 + h wrt h?\nAnswer: -20*h**3 + 276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2021 divide 61756304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.95 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18593 + 18592. Let o be 3\/(-5) + 144\/15. Suppose o = 2*s - 1. Which is the closest to s? (a) l (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -37*l - 12. Let f(v) = 34*v + 29. Give -5*f(h) - 4*m(h).\nAnswer: -22*h - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, e: 1, d: 1, q: 1}. What is prob of sequence dp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 1 + 5200*p**3 - 93*p**2 - 5190*p**3 to the form s + c*p**3 + w*p**2 + n*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24350 is divided by 120.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1624915, 1624916, 1624917, 1624918, 1624919, 1624920?\n\"Answer: b + 1624914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 2*a - 5*a + (0 + a + 0)*(-4 + 1 + 5) + a - a + a + a + 5 - 5 + 2*a + 1 - 1.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6048 and -0.4?\nAnswer: 2419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 3)*(-7*w + 33 - 33)*(w**2 + 7*w**2 + 13*w**2).\nAnswer: -147*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16789109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -27*(0 + 3)\/(-9). Suppose k*q - 214 = 7*q. Suppose 5*z + q = 227. Which is greater: z or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321006, 10, 49, 4 in descending order.\nAnswer: 321006, 49, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*(-11)\/((-2035)\/(-148))*(-3)\/(-50)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713470 times 4?\nAnswer: 10853880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:39 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose -i - t = -8. Suppose -s - i*s + 2*f = -20, 5*s - 3*f = 20. Solve 6 = 2*k - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9151 + 9161. Solve -8 = -5*p + 2*i, -5*i + 21 = 3*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 - 7*x**2 + 10*x + 251. Give y(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15786 - 9231. Is 95 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 15 + 15.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/12*112\/(-4)*24\/(-72)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Let v = i + -5.2. What is the second smallest value in -0.1, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 4*o + 19. Calculate the remainder when 158 is divided by r(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 29. Suppose 4*a - 2*c + 6*c - 120 = r, -92 = -3*a - c. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 47. Which is smaller: f or 1\/45?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/503 and -127\/4418352.\nAnswer: 4418352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/20 + k**4\/8 - 2*k**2 + 9*k. Let n(z) be the first derivative of v(z). What is the second derivative of n(c) wrt c?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 2. Let u(y) = y + 1. Suppose 18 = -0*q + 2*q. Suppose 0 = -d + q. Give d*u(g) + 4*w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*x - 197*x**6 + 57*x - 445*x**2 + 80*x**6 + x**5 wrt x?\nAnswer: -14040*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-72))\/(14\/248*((-54)\/(-42))\/3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from uttuzzuttzuu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125866635 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -11*r**6\/20 + r**5\/30 - 67*r**4\/24 - 156*r**2. What is the second derivative of n(c) wrt c?\nAnswer: -396*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = 7*i - 2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s - s**2 + 5*s + 11*s**2. Let c(v) = -3*v**2 + 5*v. Let h = 17 + -19. Let b be (0 + (-1 - h))*-5. Calculate b*q(g) - 16*c(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.692 and 1442.\nAnswer: -5323.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4524 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 4*s**2 - 41*s + 36.\nAnswer: (s - 4)*(s - 1)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*j + 247 = 12, -141 = -3*o - 4*j. Solve 81*y - o*y - 204 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29722 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -260\/17 at least -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*z**3 + 372*z**2 - 1 + 25*z - 372*z**2.\nAnswer: -119*z**3 + 25*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-129)\/(-4300)*(272\/78 - 4).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1449 and 11403.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = l - 3*u - 144, -3*l - 3*u = -420. Let f be ((-4)\/42)\/(l\/12 + -12). Which is bigger: 55 or f?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287987.\nAnswer: 7, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 21*o**2 + o. Suppose -5*z + z + 14 = -2*v, -5*v = -z - 1. What is g(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232455771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73411, 72965, 71737, 69337, 65375, 59461?\nAnswer: 51205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399396*h*o**3 - 4*h*o**2 - h*o - 38976*h - 2*o - 1 wrt o?\nAnswer: 2396376*h*o - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*-1*(27 + -28). Suppose 0 = 2*l - 4*l. Suppose -y = -5*o + 47 - 13, -2*o - 3*y + i = l. Solve 5*w + o = 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/7420 and 97\/636.\nAnswer: 22260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 + 546*t**2 - 107*t - 184. Determine j(109).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29789649, 29789843, 29790047, 29790267, 29790509?\n\"Answer: x**3 - x**2 + 190*x + 29789459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -3\/5 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*107.2\nAnswer: 32.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 2381706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffttftffttffttfftft. What is prob of sequence ftf?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*s + 3*m - 20, -m = 4*s + 21. Let l = 5 + s. Which is the closest to -1? (a) l (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 974843\nAnswer: 97484.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10201636*c**3 + 101799168*c**2 - 2170764*c + 11560.\nAnswer: 4*(c + 10)*(1597*c - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5 + x**2 + 25*x - 13*x - 16*x - 29. Let p be k(8). Are -2 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2737300576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1185, 0 in ascending order.\nAnswer: 0, 3, 1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -41*a**2 + 11685*a - 90. Let t(m) = m. Give t(u(d)).\nAnswer: -41*d**2 + 11685*d - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 32. Suppose -4*m = -4 + v. Suppose m*h + 124 = 3*g + 4*h, -2*g + 90 = -h. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + sqrt(19) + -2 + sqrt(190)\/sqrt(160).\nAnswer: -2 + 45*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566424.\nAnswer: 2, 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 46*l**2 - 2555*l + 733. Determine i(26).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416.968l to millilitres.\nAnswer: 416968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-310)\/(-12) - (-8)\/48*1 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p + 5*y - 61, -p = 4*y - 40. What is the highest common divisor of p and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puseeveuvvuvevvssvv. Give prob of picking 1 u, 2 s, and 1 e.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -29, -33, 6, -2 in ascending order.\nAnswer: -33, -29, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/22239441 and 88\/34587.\nAnswer: 22239441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuucuccu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.7 + 9.5. Let k = 4.20000112 + t. Round k to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 1. Let q = -12 - -17. Suppose q = 4*b + 25. What is i(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27416 and 82695.\nAnswer: 15215880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittvxvvvtvvvvvtxtitv. Give prob of sequence tx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 j when three letters picked without replacement from {w: 1, j: 11, a: 2}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 5)*(-9*f + 2*f + f)*(-3*f + 3*f + f)*(4 - 8 + 7) in the form x*f + z*f**2 + b and give z.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/8 - 2*c**3\/3 + 16*c**2. Let o be y(8). Suppose -21*i + 331 = -o*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 384 = 20*m. Is m greater than -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1132*j**3*l*q - j**3*l + j**3*q + 8*j**3 + 3*j**2*l + j**2*q - 14*j*l*q - 41*l + 2*q wrt j?\nAnswer: 6792*l*q - 6*l + 6*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxxxtxxxtxxxxxxx?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84911639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*g + 1551, 6*g - 4*g = i - 529. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2386 + -1681. What is the highest common factor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814914?\nAnswer: 2, 907457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/28 and ((-506)\/(-16))\/11*(2 - 3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 3528. Let m(d) = -978*d**2. Calculate o(m(x)).\nAnswer: 4890*x**2 + 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 - -1?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-169)\/(-3) - 19\/57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 4*l**2 - 4. Let f be w(-4). Sort 13, f, 0 in ascending order.\nAnswer: f, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545, 1340, 2135, 2930, 3725?\nAnswer: 4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2947 and 1.08?\nAnswer: 2948.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away 24?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 181361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -3 - (-7 + 3). Let r be 138\/(-108) + b\/(-18). Let v = 2.8 - 3. What is the closest to v in -1\/4, r, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -1\/4*t**2 - 1\/2 - 3\/4*t = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/2218062 or 1?\nAnswer: -29\/2218062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(18)\/(sqrt(9) + sqrt(9) + sqrt(63)\/sqrt(7)) + -2 + sqrt(12)\/sqrt(6)).\nAnswer: -8*sqrt(2)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h - 3*h**2 + (0*h**2 + 2*h**2 + h**2)*(-2 + 1 + 3).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(192) - (sqrt(96)\/sqrt(12))**2.\nAnswer: -8 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -6.4 in increasing order.\nAnswer: -6.4, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512*m**3\/19 - 576*m**2\/19 - 66*m\/19 - 2\/19.\nAnswer: -2*(m + 1)*(16*m + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/(f\/(f*f**(-7)*f*f*f)))\/(f**(-2\/3)*f**6) assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 4*a, -48 = y - 5*a. Let t = y + 23. Suppose -3*f + c = -11, -3*f + t*c + 15 = 3*c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.1. Let v = p + -1.6. Which is the third smallest value? (a) -2 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7\/5))\/(m\/(m\/m**(3\/8))))\/(m**4\/m*m**(3\/5)))\/(m\/(m**(-2\/21)*m)*m**(-13))**49 assuming m is positive.\nAnswer: m**(15071\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.49745932 + -6.14.\nAnswer: -9.63745932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 9825?\nAnswer: 137550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:05 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) -3 (d) -51 (e) 1 (f) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/48792 and 157\/23028?\nAnswer: 4927992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (sqrt(70) - -2*sqrt(70)))*-5)\/(-1*3*sqrt(10)))**2*3.\nAnswer: 700\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 13 + 64)*(0*c - 2*c**2 + 0*c) + c**2 - 3*c**2 + 5*c**2.\nAnswer: -217*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/6 + 7*x**2 + 2*x. Let s be l(0). Let m = s + -11. Sort m, -3, 4.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*0.0205\nAnswer: 0.003075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271444695.\nAnswer: 3, 5, 17, 62617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 2:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59\/110 + -2\/55. Let k = 3.289 - 0.289. Which is the third biggest value? (a) k (b) t (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 164 = -5*a + 15*h - 8*h - 195, 88 = -2*a - 10*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 443? (a) -3 (b) 2\/45 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 40*h - 435. What is c(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7 - 7. Let t = 1.3 + c. Let y = -0.4 - -0.7. What is the third smallest value in y, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 8*k**2 + 28*k + 16.\nAnswer: -4*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2484\/(-207)*16*(-12)\/(-11904).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 - 132*m - 20. Give v(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -u - 2*u + y, 4*u - 3*y = 26. Suppose 4*w - 2*w + 5*o + 683 = 0, u*w - 2*o = -1635. Let a = w + 580. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -11*j + p + 9, -p = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9026, -36114, -81258, -144458?\nAnswer: -225714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 27*f**5\/5 - 303*f**4\/4 - 338*f**3 - 258*f**2 + 168*f + 924. Find k, given that i(k) = 0.\nAnswer: -2, -1, 2\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) 7 (c) 5 (d) 1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270.948138 - 148.948101. Let u = 156 + -34. Let w = f - u. What is w rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 - 1. Let c = 11 + -6. Suppose c - 25 = -4*i. Suppose -5*y = 5*u + i, -1 = u + 7*y - 2*y. Determine s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-3))\/((-2)\/18). Calculate the remainder when -3 - 8\/12*t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 (base 9) in base 12?\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = -58*b + 13*b + 33212. Solve 0 = -3*u - g - b + 454, 5*g - 25 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10506 and 3.\nAnswer: -31518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 23*u + 99. What is the remainder when 43 is divided by n(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.00644 + 0.63006. Round h to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Let i = 148.3 + -149.3. Which is the nearest to p? (a) 1\/5 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -829566*h**2 + 829566*h**2 - 4 + 4 + 59*h**3 + 56*h to the form y + l*h**3 + f*h + a*h**2 and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - j - 1. Let v(w) = 5*w**2 - 2*w + 1. Calculate 5*o(p) - v(p).\nAnswer: 10*p**2 - 3*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/6)*a\/(a\/(a**6*a))*a)\/((a*a*a*a**(3\/8)*a*a)\/a*a\/((a\/(a\/(a\/(a**6*a))*a))\/a))*((a\/(a\/a**(-4)))**(-1\/51))**(2\/53) assuming a is positive.\nAnswer: a**(-32715\/7208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let t be (-4 - -18)*x\/(-4). What are the prime factors of 10\/(-35) + (-86)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143718370 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14763540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u - 20. Let r be z(17). Let p = r - 96. Suppose p*d = 46*d - 1683. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2*z + 2 + z)*(285 + 471 - 569).\nAnswer: 935*z + 374","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.95 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 2. Let o be ((-2)\/6)\/((-2)\/t). Is -1 - 30*(o - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) + 2*sqrt(1980) - sqrt(2695)*-2)\/(sqrt(20)*4 - -3*sqrt(5)*-1))**2.\nAnswer: 11264\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23620)\/6 + 14\/21. Let f = h - -62927\/16. Find the common denominator of f and -1 + (5\/8 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 3*h + 4. Let l = 8 - 9. Let q be ((-30)\/12)\/(l\/2). Suppose -1 = -u, q*f - 11 = -2*u + 6. Calculate x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -456?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2 - 4*a**2 - a**5 - 3*a**5 wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*4\/24)\/(373\/(-2238))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 30*k - 53 = -6*d, 2*d + 3*k - 27 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -30*r - 57 + 407 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.4, -1, -8\/3, 2743\/11 in ascending order.\nAnswer: -8\/3, -1, -0.4, -2\/9, 2743\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 - 4*d**2 + 2 - 3*d - 3 + d**3. Let c(h) be the first derivative of -h**2 - 20*h + 197. Let s be c(-12). What is n(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 11.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 6. Let l = 0 + 0. Let f be m(l). Let t(h) = -h**2 + 2*h + 8. Let v(z) = -z**2 + z + 9. Let k(g) = -5*t(g) + 4*v(g). Determine k(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3)*g**(-4)*g*g)\/((g\/g**10)\/(g**29*g)))**(1\/10) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7378 + 7379)*12\/62.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67107, 67106, 67105?\n\"Answer: -p + 67108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1351, 1353, 1355, 1357, 1359?\n\"Answer: 2*v + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11316, -22503, -33566, -44505, -55320, -66011, -76578?\nAnswer: -87021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 8*r - 1. Is h(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9556122ml in litres?\nAnswer: 0.0009556122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 52026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 74*f**2 - 7*f - 15. Let t(n) = -75*n**2 + 7*n + 17. Let a(i) = 6*l(i) + 5*t(i). Let p be a(-1). Solve g + 72 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10 = d, j - 1709014*d = -1709017*d + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.39 - 8.18. Which is the nearest to 0.04? (a) -4 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (-20301)\/536 - ((-6)\/8 - 182\/(-208)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03031 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1055*i**5 + 4*i**4 + 3*i**3 + 935*i**2 + 6*i + 2.\nAnswer: 63300*i**2 + 96*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317039 is divided by 45227?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 22234024035?\nAnswer: -22234024031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 855?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 55*r - 387. Calculate c(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 6}. Give prob of picking 2 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*b = 162*b + 39 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:18 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1650597 = 1650598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r - k + 12, k = 4. Let h be 9*(3 - 2) - r. Solve -j + h = q + 2*q, -q + 9 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-48)\/(-10))\/4)\/((-3)\/(-10)). Suppose l*r - r + 2*d - 102 = 0, -d - 75 = -2*r. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101565878*t - 83694316.\nAnswer: -101565878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178350*d*k**3 + 51*d*k**2 + 3481*k**2 wrt k.\nAnswer: 1070100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -6. Suppose 0 = -280*p + 278*p + 70. Calculate the highest common divisor of p and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020 - 0?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8173, -16354, -24557, -32794, -41077, -49418, -57829?\nAnswer: -66322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 - 469*t**2 + 1400*t - 932 = 0.\nAnswer: 1, 2, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10*k - 186812 = 7*k, 2*f - 5*k - 74700 = 0. What are the prime factors of f?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8*-1 - (-146)\/8. What is the greatest common divisor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9402, 18770, 28152, 37554, 46982, 56442?\n\"Answer: q**3 + q**2 + 9358*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 + 2002094*c\/7 + 1001046\/7.\nAnswer: 2*(c + 500523)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.4. Let c = 586428 - 586428.5. What is the fourth biggest value in 0.5, 5, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = -0*z - 172 - 52. What is the smallest value in 181, 2\/7, -4, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 22\/199701?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l)\/l**7)**4\/(l**(2\/17)\/l**(-7)*l**(2\/9)\/(l**(-1\/3)\/l*l)) assuming l is positive.\nAnswer: l**(-4846\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*u - 84. Is ((-3)\/9)\/(u\/(-32655)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/3 - 11*a. Let b(v) = -3*v. Let x(o) = 2*o. Let m(j) = -6*b(j) - 10*x(j). Give q(m(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096691977 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5112842?\nAnswer: 2, 7, 173, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -2 - (-2)\/1. Suppose 0 = -k*t + t - 4. Solve -4*l + 2*l = t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-18) + 1 + 442\/117. Let h be 58\/(-18) - (-2)\/9. Sort m, -2, h in descending order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3925*p**5 - p**3 - 7732*p**2?\nAnswer: -235500*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 108 = 0. Let c(s) = s**3 + 10*s**2 - 3*s - 18. Let q be c(-10). What is the highest common factor of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l - 19. Give b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 240*l - 238*l + 477*l)*(1 + 5 - 2).\nAnswer: -4*l - 484","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1129*w**3 + 2*w**2 - 1. Let s be r(-1). Let d = s - 799. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Let o(g) = -5 - g + 4 + 6 + 0*g. Let s be o(4). Is q not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 7, v: 1, t: 1}. Give prob of sequence gfg.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 15416*g + 1877031\/2.\nAnswer: (g - 30771)*(g - 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*l + 36*l**2 - 119*l + (-8 + 8 - 3*l**2)*(6 + 4 - 5) as m*l + b + o*l**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**9\/1008 + i**8\/80 - 3*i**7\/70 - 103*i**3\/2 - 67*i**2 + i. Let u(s) be the first derivative of k(s). Factor u(q).\nAnswer: -3*q**3*(q - 4)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*47.\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60288134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2111*z**5\/5 + 90*z**2 - z + 2079. What is the second derivative of o(f) wrt f?\nAnswer: 25332*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 16.43 (b) -0.053 (c) 0.04 (d) -0.5 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -4\/7, 8, 4, 0.3 in ascending order.\nAnswer: -57, -4\/7, 0.3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(72)\/(sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6) + sqrt(6)))\/(sqrt(4) - (sqrt(4) + (-1*sqrt(484) + sqrt(484) - sqrt(484)))).\nAnswer: 6*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -16) + -22 + 45 + -4 + -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 8*m**2 + 6*m + 6. Let d(o) = 2*o**3 - 268*o + 273*o + 5 + 7*o**2 + 0*o**2. Calculate 5*b(p) - 6*d(p).\nAnswer: 3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 29. Let w = g - 29. Let r(d) = d - 5. Calculate r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2126 + -0.0874. Sort -12\/7, 0.2, j, 0.5 in increasing order.\nAnswer: -12\/7, j, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5*j + 131 = j - 19, -12*p + 4*j + 85 = 35*p - 42*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -27. Solve -4*q - k - 16 = y, 0*q - 4*k + 16 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v + 269 = 13 - 719 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(153)\/sqrt(9) + sqrt(17) + 1*(-1 + sqrt(17)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 (base 7) in base 11?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.1, 1\/9, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/3 - 96)*1\/2. Let z be (0 - d\/21)\/(2\/18). What is the common denominator of 29\/10 and 465\/z*35\/390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5980 greater than -5960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/2))**(-2\/41)*j**8*j*j**(-4\/7)*j*j*j assuming j is positive.\nAnswer: j**(3259\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/3, -2, 24, 0.1, -4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 9*y - 1742. Let m = -1020 + y. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.307 - 0.193. Round q to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:27 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 - 3*b - 4. Let g(c) be the first derivative of -c**4\/4 - c**3 - 4*c - 46. Let m be -6 - -3 - (1 - 1). Let j be g(m). What is n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 940193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 3, v: 1, n: 3, r: 1}. Give prob of sequence qn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k. Suppose k = -a + 2. Suppose 2*o - 14 = -4*v, 0 = -4*v + 20 - 4. Sort o, -4, a.\nAnswer: -4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 10. Let k be v(-6). Let r be ((-16)\/5)\/(k\/10). Solve 3*u + 20 = r*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -955*x - 16369 + 56479 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17967730, -35935460, -53903190, -71870920?\nAnswer: -89838650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34044051 (base 6) in base 2?\nAnswer: -11111100000100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + 10010?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*l - 36 = -8*n - 282*l - 278*l - 281*l, 0 = 6*n - 3*l - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061526277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 4*m - 0, 2*a - 8 = m. Differentiate 3*q**2 + a - 4 + 2 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49155 - -86985. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 614726173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(6\/(-24))*672\/(-256)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*(-207)\/(-4347)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by 467?\nAnswer: -172\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 67. Suppose -l*g = -4*a - 4, -2*g + 4*g = 0. Let t(r) = 2*r**2 + 1. Give t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 99.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/44 and -23\/244.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + -4 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52758, 51439, 50132, 48843, 47578, 46343, 45144, 43987?\nAnswer: 42878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21949 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6340*d**3 + 4173*d**3 + 25736*d**3.\nAnswer: 36249*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b**2 - 20*b + 90. Let u(c) = 7*c**2 + 8*c - 44. Let g(t) = 3*s(t) + 5*u(t). Determine g(-23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -0*l - 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 2 r when four letters picked without replacement from rrrprookkpowrrmrko.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(1\/((-4)\/15)). Let p(x) = -2*x - 5. Let u be p(-5). Which is the smallest value? (a) u (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2 + 1\/6. Solve 2\/3 + p*n**2 + 4\/3*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233032 (base 4) in base 11?\nAnswer: 10559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(10\/(-6)*(-45)\/(-30))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 24*f**2 - 14*f + 4. Let c = 25 - 11. Let k(l) be the third derivative of -l**5\/12 + l**4\/8 - l**3\/6 + 9*l**2. Give c*k(z) + 3*r(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6bb6 + -3?\nAnswer: -6bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*j - 6 = 0, 448*l - 447*l - 12 = 4*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.4521 nanograms in milligrams?\nAnswer: 0.0006464521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 502*y**2 - 136*y**2 - y.\nAnswer: 366*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 6995799*r**2 - 3497901*r**2 - 23 - 3497900*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*m**3 + 8*b*m**2 + 4*b + 19608*m**3 - 13*m**2 - 2*m wrt m?\nAnswer: -12*b + 117648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 1. Let v be w(2). Suppose 0 = 5*d - v*r - 6, -4*r + 2*r = -2*d. Let i be -37 - -45 - (6 + (0 - 1)). Solve 0 = d*a - 0*a - i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {a: 2, u: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 35\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((174\/24)\/(-29))\/((-1)\/1532). Solve k*j - 32 = 391*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1012\/7 + -144. Which is the nearest to -0.2? (a) 1 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and -78 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 = 65. Let i = j - 18. Suppose -2 - 10 = -i*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/sqrt(40))\/sqrt(10)*-4 + 5 + (5*(sqrt(20) + sqrt(60)\/sqrt(3)))\/((sqrt(64)\/sqrt(2))\/sqrt(8)) + -5.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321.1413 rounded to the nearest ten?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:36 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46442 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103014 (base 5) to base 4.\nAnswer: -312311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731954 - 17*v**2 - 8*v**3 - 45*v**3 - 731954.\nAnswer: -53*v**3 - 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 11*r - 381, 5*y - 32*r + 18*r - 40 = -13*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + ((-6*(2*sqrt(130) + sqrt(130))*1)\/(sqrt(20)\/(sqrt(20)\/(sqrt(10)*-1) + sqrt(2) + sqrt(2))))**2*-1.\nAnswer: -4211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 1\/5 (c) -3\/5 (d) 3 (e) 1\/34 (f) 0.122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -23. Let h be (-4 - (-30)\/4)*12\/n. Solve 5*v - v - u = h, -4*v + 3*u = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1, 60, -13 in descending order.\nAnswer: 60, -1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)*2*(-1399343)\/(-506) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5)*-1 + ((-1*sqrt(20))\/sqrt(4))**2.\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 18) + 2 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 1, y: 1, s: 2, k: 1, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four ninths of a day?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -13)*6\/(-7). Suppose -44 = -7*k - 23. Sort 2, g, k in descending order.\nAnswer: g, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j**2 + 2552*j + 198. Determine t(160).\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/(h\/(h\/h**1)*h))\/(h**(-3\/7)\/h*h*h*h*h**(-7)*h)*h**6*h**2*h\/((h**(2\/7)*h)\/h*h)*h*h*(h\/(((h\/h**6)\/h)\/h))\/h assuming h is positive.\nAnswer: h**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + 1\/(9\/6) + (20 - (-826)\/(-42))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (616\/72 - 9)\/((-10)\/(-45)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -66.2*-423.3\nAnswer: 28022.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -178513, -356790, -534833, -712642, -890217?\n\"Answer: 117*b**2 - 178628*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**3 + 16 + 8*i**2 - 16. Let b = -3756 + 3760. Let l(w) = 2*w**3 - 3*w**2. Determine b*y(x) + 11*l(x).\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let l(m) = 2*m**2 - 8*m + 6. Suppose 4*t + 5 - 1 = 0, a = -3*t + 2. Suppose a*g = g + 4. Suppose 0 = -2*k - 3*k - 30. Give g*l(p) + k*v(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 108)*((-100)\/(-12))\/5. Let z be 3 - (m\/10)\/(-5). Put 2\/15, z, 4, -0.3 in ascending order.\nAnswer: z, -0.3, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -5, -1, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 >= -20175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {z: 4, l: 1, k: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -229079\/3124?\nAnswer: -229079\/3124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29541 is divided by 416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/11 - -3)*(1 - 2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*y**2 - 25*k*y + 46*k - 54130*y**2 wrt y?\nAnswer: 4*k - 108260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333176 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -178383.08 times -4\nAnswer: 713532.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from stsstsss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868 divided by 3.\nAnswer: 868\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 241*t**2 - 1432*t - 1261. What is l(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-81)\/(-6)) + 1960\/252. What is the remainder when 1 + (-2272)\/(m - 16) is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146 - 1.4?\nAnswer: -1.4146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((35\/20)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.01 + -0.01. Let s = 363.3 - 363. Sort s, g, -1.4 in increasing order.\nAnswer: -1.4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15085 is divided by 2514.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 + 82*m**4 + 242*m**3 - 236*m**2 - 904*m - 368 = 0.\nAnswer: -2, -1\/2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/20)*u**12 assuming u is positive.\nAnswer: u**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 650, -264, -4, 1, 3 in increasing order.\nAnswer: -264, -4, 1, 3, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 5*x = 90. Suppose x*s - 1078 = -s. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:50 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2076 + -22834\/11. Which is the nearest to -27? (a) 0.3 (b) -0.1 (c) 4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 2\/15, 0.1, 8, 1, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -515*u - 2*u**3 - 3*u**2 + 267*u + 229*u. Let w(x) = 2*x**3 + 4*x**2 + 20*x. Determine -4*i(v) - 3*w(v).\nAnswer: 2*v**3 + 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 217 = 353. Let f = 190 - r. Suppose -f*a = -79*a + 2199. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344445 (base 8) in base 12?\nAnswer: 376a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + -12 + 2\/2. Suppose d*u + 50 = 3*f, -4*f + 77 = -2*u + 7*u. Let z = 2 + f. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2818026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 37359.211 to the nearest one hundred.\nAnswer: 37400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -118. Suppose -2*s + 4*s - 10 = 0, c*g + 3*s - 15 = 0. Find y such that -1\/2 + 1\/2*y**2 + g*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let m = -42 - -43.5. Let p = m + 1.5. Which is the nearest to 2? (a) i (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 28*x**2 - 3*x - 3. Calculate k(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) 22973 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13222760 is divided by 324.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -4*c. Let p be c - (0 + (-843)\/735). Let i = p + -13273\/1960. Calculate the common denominator of i and 81\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11047 - 11047 + 41*q**3.\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 3. Determine u(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - 5*v)*(2 + 3 - 3) + 1 - v - 1.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 5658 = -13*u - 10275. Is -341 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 5410*c**3 + 1970640*c**2 - 248525550*c + 2502461115.\nAnswer: 5*(c - 357)**3*(c - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b - 4. Let l be w(7). What is the second derivative of -20*c + 66 + l*c**4 - 66 wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(2\/7)*w**5\/w*w**(-7)*w**(-1\/4)*w*w assuming w is positive.\nAnswer: w**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 0, k + 35 = 6*k + 5*a. Suppose -15*l = -k*l. Let n(o) = o**2 - o + 29. Give n(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let f = a - 5. What is the nearest to 2\/3 in 3\/7, f, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -8)*1 + (-34)\/(-4). What is the nearest to -0.1 in i, -19, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(18)\/sqrt(6)) + -3.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 8*u - 2*l - 2376, 5946 = 5*u - 2*l. Which is greater: u or 1191?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 9*b + 10 = 0 for b.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573 - 1324 + 751 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1388816 and 7\/1248?\nAnswer: 8332896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (3 + 0)*1. Suppose -4*a + 21 = -0*a - r, w = 5*r + 25. Suppose 5*g = -a*k + 8, -k - 4*g - 2 = -2*k. Solve j = -k - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4*z + 3*z + 2*z) + (5 - 3 + 0)*(-257*z - 361*z - 25*z - 51*z).\nAnswer: -1386*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 8*r**2 + 32*r**2 + 2.\nAnswer: 24*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 16. Let v be 6\/(1 + h) - 3. Solve 0*u + 12 = -v*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 624969.\nAnswer: 624969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t + i - 3, -t + 11 = -5*i. Let d(h) = -h**3 - h**2. Let w(v) = -4*v**3 - 4*v**2 - 2*v. Calculate t*w(r) - 5*d(r).\nAnswer: r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 874. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50424199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.158 - 0.138. Is -1\/3 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/112 - y**7\/10 - 3*y**6\/8 - 9*y**5\/20 - 36*y**2. Factor l(u).\nAnswer: -3*u**2*(u + 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 0 - -415 - 40\/10?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 4*j + 9 = 11*y, 5*y + 10 = 5*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7048 smaller than 7045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45732403 is divided by 19594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by -5.\nAnswer: -217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-51))\/((-1)\/(-2)). Let l = -6\/25 + 49\/100. Which is the closest to 0? (a) 1 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - (-1 + 4 + 1) - -19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 15*m**2 + 114*m + 68. Calculate v(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**(-3)\/u)\/u*u*u*u)\/u*u)\/(u**(-8)\/u))**(2\/11)\/(u**(-1\/4)*u\/(u**(-2\/25)\/u)*u)**(-47) assuming u is positive.\nAnswer: u**(147911\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -192, -345, -532, -747, -984, -1237?\n\"Answer: i**3 - 26*i**2 - 42*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164686286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496789137 times 0.1?\nAnswer: 49678913.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 261*g**2\/8 + 99*g\/8 + 1\/2 = 0. Calculate g.\nAnswer: -1\/3, -4\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873253851?\nAnswer: 3, 19, 15320243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32770.724 + -32704. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -951 by 4.\nAnswer: -951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14149\/8 + 1759. Let r = 227\/24 - -5\/24. Calculate the common denominator of r and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3017064, -6034128, -9051194, -12068262, -15085332?\nAnswer: -18102404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 1000280*z - 1000238*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2772\/2617?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 + 154*n**2 - 3040*n + 2888 = 0. What is n?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**42\/((c**(-1)\/c)\/(c*c**(-1\/5)*c*c)) assuming c is positive.\nAnswer: c**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414.3022 + -1.0022. Let l = 399 - f. What is l rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1353, -2, -51, -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32132*c + 21428 wrt c.\nAnswer: -32132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1\/4, 1\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12814, 12068, 10840, 9142, 6986, 4384?\nAnswer: 1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 18*j**3 - 5*j**3 + 5*j**3.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*d = -33, 279*x = 280*x + 3*d - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229396*z + 177816.\nAnswer: 229396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/2 + (-2)\/(-4). Let w be 10\/45 - s\/9. Solve 0 = -2*r + 3 + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9490 rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 528.767080312 - 57.\nAnswer: 471.767080312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36726 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 354\/5. Suppose -t + 0 = 1. Let k be 39\/210 - 19\/(-190). Which is the fourth biggest value? (a) t (b) 1 (c) l (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjfhajjfjj. Give prob of sequence jahj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, 11747, 1 in decreasing order.\nAnswer: 11747, 2, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydyyyyydyyydynynyyy. Give prob of picking 2 n and 1 d.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225\/33586 or -1?\nAnswer: 225\/33586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3365 - -3360. Let d(x) = x**3 + 12*x**2 - 3*x - 38. Let c be d(-12). What is the nearest to -1 in -1, a, 0.2, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**8\/1120 - h**7\/360 + h**5\/6 + 5*h**2. Let z(j) be the third derivative of b(j). Find the second derivative of z(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2100*s**2 - 41985*s - 310. Determine d(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 - 15*f**2 + 34 + 271*f**3 + 17*f**2 - 272*f**3 to a*f + g*f**2 + s*f**4 + z*f**3 + d and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/180 - t**5\/30 - t**4\/18 - 2*t. Suppose a(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*r - 15, -r - 2*r = -2*h - 3. Suppose 3*u + 6*u**r - u - u - 7*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52527 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/7 (b) 0.036 (c) 2\/3 (d) -3\/4 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*a - 9*a + 3*a**2 + 157*a + 7*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 0. Suppose -y = -k*y - 9. Suppose 3*z + 1 = q, -4*z + y*z - 17 = -q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -86. Let r be (-60)\/9*(-72)\/q. What is the greatest common divisor of r and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + 9.16. Let q = 10 - b. What is q rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768162670?\nAnswer: 2, 5, 11, 103, 151, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3468 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4844 is divided by 113?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - h**4 - 3*h**3 + 5*h**2 - 2*h.\nAnswer: h*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10893*g + 63671 wrt g.\nAnswer: 10893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17862 and 625170?\nAnswer: 625170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715187197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 42*u**2 - 154*u + 150. Is w(-73) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0847 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 14 - 13*j - 16*j - 7*j + 5*j**2 - 6*j**2. What is the remainder when g(-22) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -2*v**5\/5 + 5*v**4\/4 - v**3\/3 - v**2 + 422. Solve k(i) = 0 for i.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 7.606?\nAnswer: 7.606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 5*x + 4, 2*x + 2 = -2*w. Let p(c) be the second derivative of 3*c - 1\/2*c**2 + w*c**3 - 1\/12*c**4 + 0. What is the derivative of p(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 7 + 6 = -4*i, -5*i + 10 = -4*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - r**2 - 2*r + 2*r to x + f*r + z*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y - 82 = 0, -5*o - 2*y = -o + 140. Let w = o - -39. Suppose -x + 112 = 5*s, w*s = -3*x - s + 372. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 - (-5 + 0). Solve 5*o = k*f + 1, -o + 9 = 4*f - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(-p + 2*p + 0*p) + (1 + 12 - 9)*(52*p - 26*p - 4*p) + 3*p + p - 2*p + (-2*p - p + 5*p)*(2 - 4 + 4).\nAnswer: 89*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 73 = 9*c, -4*c = -3*b + 57 - 37 + 5 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 385 = 3*h, -3*v = -3*h - v + 395. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0 - (24 - -31 - 40)) + 14 + -24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 15228\/11 (c) -6 (d) 0.05 (e) 1\/5 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*b + 32, 6*i - 2*i = -b + 28. Let p = -52 - 120. Let q = -961\/6 - p. What is the common denominator of i and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5067, 9, 51 in decreasing order.\nAnswer: 51, 9, -2, -5067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035774198 to seven decimal places.\nAnswer: 0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.749 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 + 4?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = 67. Suppose 2*g - 42 = 5*g - 4*i, 3*g = -5*i - 15. What is the remainder when x is divided by (12\/g)\/((-3)\/30) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 56*l - 740. What is v(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4023 is divided by 69.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -57*x**2 + 2*x + 1. What is j(-1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {l: 1, u: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3482448092 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 d when three letters picked without replacement from {d: 2, q: 2, w: 2, v: 4, f: 7}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6*1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 24 = 5*f, 2*w + 3*w + 2*f = -15. Let t(s) = 6 + 7*s - 4*s + 3*s - 7. Calculate t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 6*p**2 - 6*p**2 + 6*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5035 + 7099. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008300562 to 4 dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from ccgggc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2945 - 2944.9. Put -1, 654, s in increasing order.\nAnswer: -1, s, 654","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/2)\/j*j)\/(j*j**(-4\/9)))\/((j\/(j*j**(2\/15)))\/j**(7\/3)) assuming j is positive.\nAnswer: j**(127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76911, 76937, 76963, 76989?\n\"Answer: 26*y + 76885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5212 or 26061\/5?\nAnswer: 26061\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409 = 20*t + 285 + 344 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6518410 to the nearest 10000.\nAnswer: -6520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h = 2*f + 38, -5*f + 67 = 4*h. Find the second derivative of -h*x**2 + 5*x**2 + 3*x - 11*x wrt x.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 5. Let w be f(-1). Solve 0 = 7*h - w*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c + 110. Let o = 21 + c. Is (o\/2)\/((-13)\/2574) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*v + 613 + 927 - 576 = -996. Let c(l) = -l**3 + 8*l**2 - 3*l - 19. Let y(t) = t**3 + t**2 + t + 1. Let h(m) = -c(m) - 2*y(m). What is h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-336)\/(-70))\/(4\/30). Let d(q) = q + 7. Let f be d(-5). Suppose 23 = f*v + 3*r, 4*v - r - w = -5*r. Solve v*g = 2*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u - 9647350 - 2739900 = 0. Find the third derivative of 0*o**3 - 106*o**5 + 9*o - 247747*o**2 - 2*o**3 + u*o**2 wrt o.\nAnswer: -6360*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3 - 6 + 6 - a**2 + 7*a + 4. Let d = -15 - -21. Let z be s(d). What is the greatest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 6*n + 1611 + 2806.\nAnswer: -2*n + 4417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -13*r**7\/210 - 7*r**3\/3 - r**2\/2 - 128*r. Let d(b) be the first derivative of n(b). What is the derivative of d(m) wrt m?\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjwwwlwllwqjw. Give prob of picking 4 w.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a353 + 5?\nAnswer: 8a358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoz when three letters picked without replacement from ozozzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 5)*(11 + u**2 - 10 + 5) to the form y*u + i*u**2 + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -439 * 6.72.\nAnswer: -2950.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 13974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, 2, 3 in ascending order.\nAnswer: -155, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a. Let x(u) = 306587*u**2 - 3*u. Determine f(x(r)).\nAnswer: 5211979*r**2 - 51*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.50534 hours in microseconds?\nAnswer: 12619224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 46 = 8*p, 3*c - 5 + 2 + 37 = -5*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6338553 hours in days?\nAnswer: 0.0264106375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78564.37 nanometers?\nAnswer: 78.56437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(0*m**4 + m**4 + m**4) - 5*m**4 + 5*m**4 + 4*m**5 + 5*m**2 - 5*m**2 + m**5 + (-4*m**2 + 2*m**2 - m**2)*(-m**3 - 2*m + 2*m).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 74917696*c**2 + 177999035 wrt c?\nAnswer: 6*c**2 + 149835392*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*q**2 - 16*q**2 + 33*q**2 + 2*q**2 - q**2 - 3*q**2 + (-3 + 1 + 0)*(-2*q**2 + 2 - 2) - q**2 + 3*q - 3*q + 130 - 130 - 174*q**2 + 35*q**2.\nAnswer: -97*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 91*-1\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 26*f + 52. Let v be r(-24). Solve -c + 12 = 2*i - v*c, 0 = -4*i - 3*c + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27) + ((-94)\/(-18) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 - 2*x**2 - 167 + 323.\nAnswer: -2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36230348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 4. Let p(k) = k + 3. Let a(b) = -3*p(b) - 2*t(b). Does 3 divide a(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2350 = -285*q - 1886 + 6091 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2766078*o**3 + 2000*o**4 + o + 2766077*o**3 - 2*o**2 + 632*o**4 to the form w*o**2 + i + g*o + v*o**4 + b*o**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 7 = -5*z - 5*c, 0 = -5*z + 3*c + 13. Let v be ((-8)\/(-14))\/z*(-140)\/(-60). Factor -v*s**2 - 2\/15*s + 0.\nAnswer: -2*s*(5*s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5)**(21\/2)\/(f**(-11)*f**13\/f) assuming f is positive.\nAnswer: f**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 336927 and 0.902?\nAnswer: 303908.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7 + 28. Let p(y) = -7*y**3 + 20*y**2 - 5*y - 14. Let c(k) = 15*k**3 - 42*k**2 + 10*k + 30. Let f(d) = -6*c(d) - 13*p(d). Determine f(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10621 bigger than -10604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d**3 + 2*d**2 - 3175*d + 21. Let k(r) = 12*r**3 - r**2 + 2117*r - 15. Calculate -5*a(x) - 7*k(x).\nAnswer: x**3 - 3*x**2 + 1056*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a, s + a - 2 - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/9855 and 85\/517698.\nAnswer: 188959770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5\/2 + 5*p**4 + 2705*p**3\/2 + 8725*p**2 + 9360*p - 19440 = 0.\nAnswer: -18, -4, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 + 246. Let i be (2\/(-3))\/(2*(-5)\/k). Let d be -2*(0 - -1) - (0 + -4). Solve d*f = -5 - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by 2.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 18*b - 50 = -17*b, -51 = -4*h + 3*b. Solve -h*f = -10 + 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:26 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2297984 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -29. Let v(u) = -u**3 + 8*u**2 - 8*u - 1. Let s be v(6). Let g = m + s. Calculate the least common multiple of g and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 9849?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 - b**2 + 25*b**4 + 2*b**3 - b**2 - 23*b**4 + 2*b to k*b**2 + n + t*b**3 + h*b**4 + o*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/6 + 55572*j**3 + 166699*j**2\/3 - 1833860*j + 7002051\/2 = 0.\nAnswer: -333431, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 12 - 1)*(2 + 2 - 7)*(-21*f + 54 - 54).\nAnswer: 315*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g + g - g)*(-6*g**2 + 5*g**2 + 5*g**2) + 145 + 17*g**3 - 145)*(-4*g + 6*g + 0*g) in the form h*g**4 + c*g**3 + w + p*g**2 + o*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:28 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675 = 143*p + 1682 - 836 + 1053 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1, 89, 0.451?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 179*u**3 - 651*u**2 + 456*u + 260.\nAnswer: (u - 2)**2*(179*u + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42807120 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4522 (base 6) in base 15?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x. Let c(b) = b**3 - 8*b**2 - 8*b - 7. Let v be c(9). Let r(d) = -v*d + 0*d - 2 + 2. Calculate h(r(i)).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u - 3*u + 5 - 5*u + 5*u + u**2. Give f(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618319*q**3 - 3179707*q**2 wrt q.\nAnswer: 3709914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 11*v - 4. Let m(y) = y**3 - 3*y**2 + 3*y. Let b be m(3). Does 18 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 5*p - 13, -2*v + 5*p = -13. Calculate the least common multiple of v and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -18*r**2 + 134. Let c(k) = 6*k**2 - 44. Let w(a) = 16*c(a) + 5*v(a). What is the first derivative of w(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*s**4 - 132*s - 2.\nAnswer: -4092*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.31 times 1505\nAnswer: 7991.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26967*h + 107861. What is s(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 8*x**3 + 12*x**2 - 12*x**2.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4404.031 and 6.\nAnswer: 4410.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}