diff --git "a/data/dm_maths/full_data/1253_11255.jsonl" "b/data/dm_maths/full_data/1253_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1253_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Four letters picked without replacement from bioikiiibinbobbkii. What is prob of sequence ooib?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 * -0.07883.\nAnswer: 12.53397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (271*2)\/(2\/(-116)). Let b = 169256 + n. Suppose -920025 = 4*j - 5*v, j - 3*v + 92195 = -b. Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5839*k**2*s**2 - 712*k**2*s - 111*k**2 + 28*k*s**5 wrt s?\nAnswer: -11678*k**2 + 560*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18837 and -97\/306.\nAnswer: 640458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -546.58542 + -0.11458. What is r rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-5\/17))**(-6\/19) assuming x is positive.\nAnswer: x**(60\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -260592.53564 take away 25452?\nAnswer: -286044.53564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from {g: 11, c: 4, w: 3}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -2035, -5773, -11323, -18685, -27859?\n\"Answer: -906*g**2 + 792*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408 - -11423\/28. Let y be -1 - 0\/(0 + -2). Which is bigger: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7199483*h**2 - 18*h + 7199428*h**2 + 3*h + 3621*h**4 wrt h?\nAnswer: 86904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101 + -4030 + (-1 - (3 + 31)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.2. What is the closest to 0.1 in 0.2, y, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 442668*o - 4869711.\nAnswer: 3*(o - 11)*(o + 147567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(2\/1))\/1. Suppose 0 = 2*u + 4 + 36. Let a = u - -30. What is the greatest common factor of a and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-139)\/(-5) - 372\/465. Solve 5*b - 13 = -3*s, -14*s - 3*b + r = -17*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -718 - -757. Calculate the remainder when y is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 16 - (8 - (-8 + 17 + -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (657020\/104)\/133*-21*(-6)\/(-45)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18966\/7 + 2710. Find p such that -4\/7*p**3 + 0*p + 4\/7*p**5 - x*p**4 + 4\/7*p**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744843 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 24. Let a be o(7). Suppose -27224 = 4*p + m - 8781, -a = -5*m. Let i = 2592 + p. Round i to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -27. Let a = r - -24. Suppose 0 = -a*c + 112 + 18. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 708498?\nAnswer: 5667984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 7. Let c(t) = -3*t + 13. What is 6*c(k) + 11*f(k)?\nAnswer: -7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*n - 8024 = 56*n + 14581 + 1144 for n.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-6))\/((-5)\/(-12)))\/((-399)\/(-665)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 197 = 225 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(8\/12). Let j(g) = 41*g + 313. Let y be j(-8). Let x(a) = 12*a - 15. Let l(b) = b - 1. Determine f*x(t) + y*l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 6180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9 + (-423)\/45)\/(26\/53) and 29\/3.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 80*l**3 + 75*l**2 + 2500*l - 2500 = 0. What is l?\nAnswer: -5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 + 5 = 0. Suppose -f*p + 132 = 5*d, -3*p + 97 = 4*d - 38. Suppose -92*i + 48*i + 18*i = -14014. Calculate the highest common divisor of p and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) - -4*sqrt(136)*-2)*-5)\/(sqrt(8) - (-2*sqrt(32) - sqrt(8)) - sqrt(128)*-4).\nAnswer: -105*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z + 9. Calculate m(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/9 + 13*q\/3 - 38\/9.\nAnswer: -(q - 38)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**4 + 2*z**3 - z**2 + 3*z + 3. Let w(n) = 7*n**4 - 3*n**3 + n**2 - 5*n - 5. Let v(m) = 5*g(m) + 3*w(m). Suppose v(y) = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58854 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131154033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2255702, 4511400, 6767098, 9022796, 11278494?\nAnswer: 13534192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 10. Suppose z = 4*g + g. Suppose g*b = 17 - 7. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 7*v - 124. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i + 1361. Let k be p(48). Solve -168*g + k*g = 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.4794 years to millennia.\nAnswer: 0.4064794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + m + 4 - 7 = 0, r + 11 = 3*m. Suppose 2*u + 4*t - 12 = 0, 5*t - 30 = -2*u - 2*u. What is the smallest common multiple of 0 + (7*3 - r) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = v, r = -2*v - 0 + 1. Let y = 0.079 + 0.021. Which is the third smallest value? (a) y (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83252 (base 14) to base 11\nAnswer: 1a6485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svd when three letters picked without replacement from srdskkvkvrkv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - q + 2*q**4 + 4 - 5 + (-2*q + 2*q + q**2)*(2*q**2 + 4*q - 4*q) + 11*q - 11*q + 6*q**4 to v*q**2 + w*q**3 + d + p*q**4 + f*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-10 + (-1 - -8) + -2) - -2 - 41?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.528 - 0.028. Let h = g + -18.500045. What is h rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 1427388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3564, -7107, -10650?\n\"Answer: -3543*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3370*p + 5*r - 15 = 3360*p, -3*r = 5*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93954847?\nAnswer: 7, 13422121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1623 - 1122. List the prime factors of p.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4968449 and 2891?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46635097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2452032 and -127\/2452032.\nAnswer: 2452032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199177 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 7*x**2 - x + 7. Let s be g(-5). Let v = -9 + s. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421 + 201?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1 - -3 - -2. Let u(p) = -4*p - 4 + p - 3*p + w*p. Let m(b) = b + 3. Give -3*m(o) - 2*u(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.2 + 32. Sort n, 1\/5, -0.3, -2\/7 in decreasing order.\nAnswer: 1\/5, n, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -126. Suppose a*o - 202 + 194 = 0. Sort o, -11, 2, 5 in decreasing order.\nAnswer: 5, o, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3635 - 3631. Solve -12 = -a*f + 4*i, -243*f - 12 = -247*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0 (c) 91.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-5*-2.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.43068 centuries in millennia?\nAnswer: 7.743068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbrrbbbbbbbr. What is prob of picking 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.4. Let d = -32\/85 + 3\/17. What is the nearest to 1\/2 in d, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 divided by -594.\nAnswer: 107\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - 1 + 1)*(-2*d - 2 + 2) + d**5 - 2*d**5 + 4*d**5 + (-d + 2*d**4 + d)*(d + 1 - 1) + 2*d - 2*d - 2*d**5 + 4*d**5 - 2*d**5 - d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 + -5*(-114)\/(-19) + -1 + 15. Solve -2\/5*f**5 + 0 - 448\/5*f**3 - 512\/5*f**x + 62\/5*f**4 + 0*f = 0 for f.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 2*z + 10*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2095)\/2*(-120)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa4 - -7?\nAnswer: 1aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385999 is divided by 277072?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i - 3)*(2745*i + 157*i - 182*i).\nAnswer: -2720*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-9 - ((-28 - -46) + -38)) + 102.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11219000 rounded to the nearest one hundred thousand?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 20132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 2275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/(-23751)*-416)\/((-1)\/(-1)).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Let n = -221 + 225. Solve -2*u + b*z - 8 = -29, -n*u = -4*z - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18048?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782749 is divided by 1212.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -14) + -6 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 65170373?\nAnswer: -65170376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 953*z**2 + 62*z + 326. Is w(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1883944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 18. Let n be (1\/(-3))\/((-3)\/u). Let s(x) = -n + 1 - 3*x - x. Let w(z) = 2*z. Give w(s(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/85, 1, 19, -0.4 in ascending order.\nAnswer: -0.4, 2\/85, 6\/7, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*w**2 - 6*w**3 + 0*w**3 + 241*w**2 + 5*w**3 + 232*w**2 - 741*w**2.\nAnswer: -w**3 - 28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672091481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.455415ng to grams.\nAnswer: 0.000000005455415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*k + 70*k + 80*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**43*n))\/(n*n*n**(-1\/3)\/n)*((n\/n**(-5))\/n)\/(n\/n**(-24)) assuming n is positive.\nAnswer: n**(-191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23421113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 - 317.626. Round g to 2 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 506\/13. Let h = 1032 + -93931\/91. Let g = t - h. What is the third biggest value in 0.3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-888)\/(-56) - (-1)\/7. Let x = r + 2. Suppose -x*u + 24*u - 24 = 0. Which is the nearest to 1\/3? (a) u (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by 106.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 (base 10) in base 4?\nAnswer: 132323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3725\/1428 - 32\/17. What is the common denominator of y and 68\/27?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(275))**2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, 4.6, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233030282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1615*r - 41894 + 1045 = 72201 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 24) + 7 + -1 - -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4240983 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 13*f**2 + 22*f - 22. Let h(v) = -3*v**3 + 19*v**2 + 33*v - 33. Let b(r) = -5*h(r) + 8*k(r). Give b(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318712 (base 11) in base 8?\nAnswer: -1742566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10032300 + -10?\nAnswer: 10032240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-294)*-4 + (-397)\/(-21). Suppose 26*w - t*w + 16450 = 0. Round w to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 37*d**2 + 5*d + 22. Let w(k) = -2*k**2 - 2*k + 2. What is -2*o(m) - 6*w(m)?\nAnswer: -62*m**2 + 2*m - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 12 = 0. Suppose 0*m - m - 4*u = -28, -m = -w*u - 12. What is the least common multiple of m and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37897, -38204, -38509, -38812, -39113, -39412, -39709?\n\"Answer: n**2 - 310*n - 37588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) - (-92)\/(-644)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6279 - 6219.18. Let g = 60 - t. What is the nearest to 1 in 1, 0.3, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.02966392?\nAnswer: -0.020764744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**2*t + 37481656*r**2 - 49441580*t with respect to r.\nAnswer: 6*r*t + 74963312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 32*u + 120 = 0. Calculate u.\nAnswer: -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.038 and 4914705.\nAnswer: -186758.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(931) + 2 + sqrt(931) + -5 + 1 + ((-2 + sqrt(931))*-2 - (sqrt(931) - (4*(sqrt(931)*-2 - sqrt(931)) + sqrt(931)))))**2.\nAnswer: 168*sqrt(19) + 134065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9164*m + 9244*m - 18515*m = 15087 for m.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447 divided by 3?\nAnswer: 2447\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -22. Let s be 48\/78*(1 + -2)\/g. Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16431 from 0.1852751.\nAnswer: -16430.8147249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/3*1)\/(10150\/1740))\/((-7)\/(-280))\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2.0097, 0.3 in decreasing order.\nAnswer: 27, 2.0097, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/4 - 117*k**4\/2 - 3791*k**3 - 191197*k**2\/2 - 3211779*k\/4 + 902393 = 0 for k.\nAnswer: -148, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5799.6 to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66*3*(-6)\/108?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20050 and 51\/100.\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4. Let m(n) = 106*n + 1. Let c be m(h). Calculate the least common multiple of (-150)\/c*7\/1 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 19 = -4*y + 3, -12 = 4*p. Suppose 0 = 2*r + r. Solve 4*t + y*a + 9 = -11, r = -4*t + a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18a + 1764f?\nAnswer: 174c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c9 - -12?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44268531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 11\/64 (b) -0.089 (c) 5 (d) -5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, -799, -3806, -9955, -20296, -35879, -57754?\nAnswer: -86971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 457, 406, 303, 130, -131, -498?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33320000 rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 44.29. Let i = -0.01 - z. Let p = 12.9 - 13. What is the third smallest value in p, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13)*-1 - sqrt(104)\/(sqrt(8) + (sqrt(8) - (sqrt(8)*3 + sqrt(8)))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 12. Let a be j(-9). Let s(d) = 2*d**2 + 38*d + 152. Let n be s(-5). Let t be n\/2 - (12 + (a - 2)). Solve -t*y + 3 = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*p - 616, -573 = -4*p - 2*s + 659. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9082568 to the power of 1\/2, to the nearest integer?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 + 3*q**2 - 1. Let z be s(2). Let v = z + -25. What is the least common multiple of v and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and -59\/1394.\nAnswer: 5576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122222 + 2100?\nAnswer: 1202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (5 - 10\/15). Let w = 172 + -172.5. Which is the nearest to -4? (a) 4 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 - -500?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-4*4 - sqrt(171)) + (sqrt(171) + (sqrt(171) + sqrt(171)*1)*4 - sqrt(171)))\/(-5*-2*sqrt(225) - -6*sqrt(225)*-1).\nAnswer: -9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 828 and 48?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m**3 + 4*m**2 - 4*m - 18. Let b(u) = -13*u**3 + 5*u**2 - 5*u - 19. Let t(f) = -4*b(f) + 5*j(f). What is the first derivative of t(o) wrt o?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6546820831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2608\/1956*-1*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -45 - -14) + (0 - -27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + u + 4*u + (4*u - 7*u + 2*u)*(-2 + 0 + 0) - 7 + 3*u + 5 - 6*u to m*u + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 2748*j**4 - 199268*j**3 + 4365620*j**2 - 14553000*j - 208544000 = 0.\nAnswer: -5, 14, 35, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(-2)*h*h)**(-2\/15)\/(h**(2\/25)*h*h\/h**(3\/16)) assuming h is positive.\nAnswer: h**(-917\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2168.99998693 + -2169. What is j rounded to seven dps?\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h + 27. Suppose 0 = 2*c - 12 + 2. Suppose 2*i = -2*n - 0*n - 4, 8 = -c*n - 4*i. Is j(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {e: 2, i: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90696 + -42404. List the prime factors of l.\nAnswer: 2, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 5.697?\nAnswer: 10.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34415645?\nAnswer: 5, 11, 271, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 2*b = -98, -185*f + 2*b - 30 = -95*f - 88*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 + 183*d**4 + 1689*d**3 - 33639*d**2 + 86442*d - 54672 = 0.\nAnswer: -17, 1, 2, 8, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -36*a + 27. Let p(h) = 73*h - 55. Let m(g) = -9*i(g) - 4*p(g). Differentiate m(y) wrt y.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 10, 4*d + 8 = -2*p - 2*p. Suppose 5 = r + p, -5*i - 146 = -3*r. What is the tens digit of (-4)\/14 - 1660\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5134 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-35)*b*b*b**30*(b*b**(2\/3))**(23\/2) assuming b is positive.\nAnswer: b**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 1, k: 1, h: 1, r: 2}. Give prob of picking 1 c and 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 43*v = 156 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/495, -1, -2\/3, -21, 13, -3\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.82 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-2))\/((-2046)\/(-16368))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = 4*i - 15, -4*i + 20 = -4*w. Solve -2*x + i = 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + c - 17, 4*c = 47*t - 42*t - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30760169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21392498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -75 + 75. Solve s = 3*p + 46 - 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = 1. Let o be (-35)\/(-21) - c\/3. Suppose r - 2*k = o - 0, 3*k - 17 = -r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 3522 - 3522 + (6*g + 0*g - 4*g)*(g - 2 + 2).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38549520, -38549524, -38549528, -38549532, -38549536, -38549540?\n\"Answer: -4*u - 38549516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - n - 12 = 0, -7*d = -3*d + n + 22. Suppose 7*x + 40 = 11*x. Which is the second smallest value? (a) -4 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7375 + 280?\nAnswer: 7665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 304. Let f = b - -149. Sort 1, 44, f in ascending order.\nAnswer: f, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(y**5 - 36 + 1870*y**4 - 1870*y**4).\nAnswer: 2*y**5 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -33070*o + 33069*o + v, -4 = -2*o - 3*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-40)\/75)\/8). Let o be (-16 - l)\/((-2)\/42). Let t = o + 6. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-48176.7\nAnswer: -14453.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((13\/(-2))\/(-1))\/(73\/79862) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1*(9 + -7). Let k be -1 + (-2 + v)\/2. Find the third derivative of 2*p**2 - 2*p**2 - 3*p**5 + 2*p**k wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 11.9. Which is bigger: 1\/5 or o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -19, 1, 3, 4 in decreasing order.\nAnswer: 278, 4, 3, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 76, 81?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5538349 and 52044.\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 927000.3m in kilometers?\nAnswer: 927.0003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459629331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 81*q - 12 = 0. Let c(f) = 4 - 17 - q*f - 1. Give c(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 1}. Give prob of sequence qfq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -t - 2, -4*t + 7 = -w. Suppose -2*u - 2*u = -3*p, 0 = u + t*p. Suppose 3*q + 99 = -u*n + 2*n, n - 4*q - 57 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011110 + -11111?\nAnswer: -110000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h = -85*h - v + 29, -2*v + 77 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -102?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 4*j**2 + 37*j - 23. What is the remainder when p(9) is divided by 209?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -196, -1\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87844 - -3?\nAnswer: -87841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p + 8. Let v(z) = 2*z - 1. Calculate t(y) + 6*v(y).\nAnswer: 26*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1504 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4728, -9680, -15100, -21228, -28304, -36568, -46260?\nAnswer: -57620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - (-4)\/8. Let s be (-1 + b)\/(3\/(-102)). Let h = s + -10. Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81*10369.\nAnswer: -8398.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + -18aa6a?\nAnswer: -18aa9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16842 divided by -5?\nAnswer: -16842\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 53*h = -120. Calculate the smallest common multiple of h and 4 - (14\/(-5))\/((-6)\/(-30)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*s + 3*b, 7*s - 265*b + 267*b = 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -7*i - 0. What is the least common multiple of 18 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 6 + 2*b**2 - 2 - b**2. Let t be c(8). Suppose s = 4*p - 0 - 1, 2*s = 2*p + t. Solve -4*w + 5*f = 25, -s*f + f - 18 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + (-249)\/18)*-1. Which is smaller: u or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76\/27 (b) -0.1 (c) 0 (d) 11 (e) -0.003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-5))\/((133\/(-70))\/(-19)). Solve o = 5*i - n, 5*o - i - 2*i + 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/11))**(-15\/4) assuming i is positive.\nAnswer: i**(45\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29620?\nAnswer: 2, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 765000 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: Which is the nearest to -2? (a) -2 (b) 25\/10616 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 + 7 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:26 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(27))*-4.\nAnswer: -12*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 8*z + 5*i - 27, -14 = -2*z - 2*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28019*w**3 + 2*w**2 - 20331 wrt w?\nAnswer: 168114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 15. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 40141538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 8. Let n = 8 - x. Let z(s) = 7 + 0 + 3*s + n*s - 2*s. Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -767123 at least as big as -767572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b**3 + 2*b - 6*b)*(-4*b + 0*b + 5*b).\nAnswer: -3*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**4 + 682*g**3 + 1206*g**2 + 152725047*g wrt g?\nAnswer: 84*g**2 + 4092*g + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + u - 7098 = 0. Calculate the remainder when u is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 275*n - 7415. Calculate i(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*g - 6 = 0, -5*j + 4*g = g - 11. Let i = -230.6 + 231. Let q = 5.13 - 0.13. Which is the closest to 0.4? (a) i (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 4732908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*r - 13709 = 875 - 2310 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 11}. What is prob of sequence zz?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h. Let l(x) = 5*x - 7. Let q(s) = 2*s - 3. Let v(z) = -3*l(z) + 7*q(z). What is v(k(a))?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-84)*(-360)\/560*(-15)\/9.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2713*m + 2712*m = -3, 0 = -5*l + 2*m - 41 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -37. Let k be 0 + -1 + a + -5. Suppose j - k*j = -10. Solve -5*m = -4*v - 20, 2*m = j*v + m + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216.29 - 219. Let s = 3.11 + f. Which is the closest to -1? (a) s (b) -2\/17 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004914043812 rounded to 5 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 0.7, 4, 5, -1 in increasing order.\nAnswer: -3, -1, 0, 0.7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 8. Let p be i(-7). Let g be (-2 - 2)*(-15)\/10. Let x be (27\/g)\/(-3)*208\/24. Is x greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)\/((-1)\/(-8)). Let o = 19894 + -19862. What is the greatest common divisor of z and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:30 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:11 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/9 - 22174*x**2\/9 + 67945120*x\/9 - 63462424448\/9 = 0. Calculate x.\nAnswer: 2168, 6751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247237937 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 15*y = 35*y - 19*y - 112 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3, e: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7761147.\nAnswer: 3, 2587049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739, -736, -723, -694, -643, -564, -451, -298?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569377436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -37*f**5 - 6*f**4 - 19*f**2 + 6. Let o(r) = r**4 - 1. Let s(h) = -i(h) - 6*o(h). Find the third derivative of s(p) wrt p.\nAnswer: 2220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 41 = 3*z, v - 5 = -z + 6. Let i be 40\/32 + 150\/v. What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 32*p + 6*p = -384, 90 = -4*g + 5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-22) + (-9576)\/154. Let z be 2\/4*(-8 - i). Let m = -8 + z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6674*b - 140260. What is v(21)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4652282 to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (-4 + 9 - 17)*(0 - 2 + 4))*(-6*p + 3*p + 3*p + 45*p**2).\nAnswer: -1170*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 408 + -402. Calculate the greatest common divisor of p and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33617.8358 or 0?\nAnswer: 33617.8358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130675999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307640*b**3 + 2615770*b**3 - 1308151*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6de7 (base 16) to base 15\nAnswer: -850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -1779, -3477, -5175, -6873, -8571?\n\"Answer: -1698*k + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*p + 2*p + 142, -229 = -4*v - 3*p. Calculate the remainder when v is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -146950.82 to the nearest one thousand.\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9230 - 4099 = -58*k + 3094 + 5691 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795767 = -189*d + 4309655. Is 83 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u - 138. Let p(o) = -26*o + 300. Determine 13*k(n) + 6*p(n).\nAnswer: 13*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-20\/3))\/r*r*r**(-9))\/(r**(3\/2)\/r*r*((r\/((r\/r**(-2\/125))\/r*r)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-1363\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/(n\/n**(-8)))\/n)*n)**(2\/55)\/(n**(3\/2)\/(n*n*n\/(((n\/n**(-1\/3))\/n*n)\/n))) assuming n is positive.\nAnswer: n**(529\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89164, 89150, 89122, 89074, 89000?\nAnswer: 88894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let z be (10\/(-15))\/((-2)\/3). What is the nearest to m in -0.03, z, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/5)*i))\/i)**(-11\/5)*((i*i**(-3\/5))\/i)**(1\/34) assuming i is positive.\nAnswer: i**(2229\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 4) to base 6\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, i: 1, x: 2}. Give prob of sequence ip.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -131381 and 2451063.\nAnswer: 2319682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -24. Calculate the common denominator of (2\/(-10))\/(c\/87) and (-9906)\/(-1040) + (-2)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xppxpppppxpppp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44258 + -1238977\/28. Let r be (99\/27)\/((-4)\/9). Let t = b + r. What is the third biggest value in t, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/18 + (-13)\/(-3). Suppose n*g = i - 25, 2*i + g - 100 = -2*i. Is 21 a factor of -4 + (-6)\/((-6)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + -68. Let m(t) = 9*t - 1. Let c be m(1). Suppose c*o - 3*o - b = -3*x, 3*o = -4*x + 27. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 17883.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182920 is divided by 271?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1\/4*b**2 + 4 - 2*b = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (529999\/(-3))\/(2\/216*2). Let n = -5039983 - k. Let z be 2\/6 + n\/3. Round z to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-173)\/(-6920))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 139*y**4\/4 - 2*y**3\/3 - 5*y**2\/2 + 1. Let k be d(8). Round k to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12 - 2 = 0. Let d(c) = -c + 6. Let w be d(5). Factor -3*q**4 + q**5 - w - 4*q**4 + 6*q**4 + v*q**2 + q - 2*q**3.\nAnswer: (q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let a(b) = -70*b + 184*b - 62*b - 65*b. Determine a(t(q)).\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 543311?\nAnswer: 543352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*n - 28 - 26, 5*n = 2*h - 54. Let z = h + -6. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3332056 and -97678.\nAnswer: 3234378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29542*x*z**2 + 6*x - 11*z**2 + 8159*z - 6 wrt x.\nAnswer: 29542*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 0*m**3 - 2465*m**2 + 2465*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6028 = 2*w - 211*w - 385. Calculate the smallest common multiple of w and (-23 - -7)*9\/(-2).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.82 in -1, 0.2, 0.1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959516.\nAnswer: 2, 239879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12275 - 11550 = -29*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 14*w + 24. Let i be k(-10). Let p(a) = -a**3 - 16*a**2 + 22. Let o be p(i). Calculate the greatest common factor of 198 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 7*f**3\/3 + 1. Let c = 11 - 9. Let r(o) = 7*o**2 - 2*o**2 - 4*o**c. What is r(t(d))?\nAnswer: 49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*k - 1 = 0, 0 = -7*l + 10*l + 3*k + 15. What is the second biggest value in 0, 2\/579, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*j**2 + 658*j**2 - 157*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*n - 5066*n = 736*n + 1871*n - 691464 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/7)\/((-3)\/(-21)). Solve g = 2*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -128 (b) 2\/9 (c) -38 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 38*j - 2512 = -101*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7743 * 44.1\nAnswer: 341466.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/m**1*m*m)))**(-1\/9)*(m\/(m\/m**0))\/m**(-1) assuming m is positive.\nAnswer: m**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70700 and 50500?\nAnswer: 353500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 110 = b, -4*b - 4*g + 426 = -46. Let r be b\/(-16)*(-844)\/6. Suppose -d + r = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 4)*(2*m + 4*m - 5*m) - 7*m + 9*m - 15*m + (1 - 2 + 2)*(0 + 0 - m) in the form u + r*m and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 + 4*h + 21. Let x be i(-5). Is x at most as big as -1\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -255?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 25, -9, -1\/4, 0.4, 287\/4, 2?\nAnswer: 287\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-217)\/(-62)*(4940\/70)\/(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13441388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -86*c**3\/3 + c**2 + 512*c + 2. Let o(i) = i. What is o(f(z))?\nAnswer: -172*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -37 + (-11 - (-180 - -171 - (7 + 1))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/25)\/(-7)*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 0*l - 4*l + (2*l - 4 + 4)*(-2 + 2 - 1) + 15*l - 11*l - 10*l in the form f + w*l and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196 - 2*g + 98 + 92 to i*g + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*v**3 - 82*v**3 + 4*v**4 + 3*v**2 + 2*v**4 - 3*v**2 + (2*v**3 - v**3 - 3*v**3)*(-2*v - 2*v + 3*v) - 9*v**4 - 47*v**2 + 47*v**2.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -13, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1.5 (c) -25 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 14*p + 1840000. What is p rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -85*o + 9. Let h(l) = -l - 2. Give g(y) + 4*h(y).\nAnswer: -89*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 0 + 0. Let b(q) = 15*q**2 + 3*q + 6. Let h(r) = 19*r**2 + 4*r + 8. Let m(p) = -4*b(p) + 3*h(p). Calculate m(l(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t - 723 = 12*t - 75 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11954970 by 3.\nAnswer: -3984990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let l(g) = 2*g**2 - 12*g. Calculate j(l(d)).\nAnswer: -2*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + k - 2*k + 70, -4*i + k + 84 = 0. Let r = -65\/3 + i. Is r smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 0*h**3 + 2*h**3 + (0*h + 0*h - 2*h**2)*(-17 + 9 - 10)*(1 + 1 - 1)*(2*h + 0*h - h).\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 12*q**2 - 28*q + 3. What is the smallest common multiple of 117 and x(-14)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 126 + 255 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 86 = 3*l, -4*f + 2*l = 137 - 55. Let v = -25 - f. Let s(j) = -3*j - 4 - 2 + 0*j. Give s(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3964?\nAnswer: 3\/1982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 58114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5 - 2 + 0 + d**2 + 3*d. Let h be w(-5). Suppose z + h*c - 5 = 16, 3*c + 9 = 4*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j**3 + 2*j**2 - 7*j. Let w(b) = 7*b**3 - b**2 + 4*b. Suppose 5*y - 46 = 13*o - 17*o, 40 = 4*o + 4*y. What is o*l(h) + 7*w(h)?\nAnswer: -11*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127619 is divided by 100?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 3. Let t(x) = -x + 0*x - 1 + 0. Determine j(i) + 3*t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7284049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let k(u) be the first derivative of -13*u**3\/3 + u**2\/2 + 86*u - 42. Let o(r) be the first derivative of k(r). Calculate l(o(n)).\nAnswer: -52*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625188000 rounded to the nearest one million?\nAnswer: -1625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:20 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 15 = -3*c. Let q be -3 + 2 + c\/(-3). Let d = 0 + -5. What is the second biggest value in q, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 3, -5, -0.5, -2609 in descending order.\nAnswer: 3, 1, -0.4, -0.5, -5, -2609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 954091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 19*l**3 + 0*l**3 + 0*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 31, 11, -9, -29, -49?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1885 (base 10) to base 9.\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 85 - 28*f + 69*f**2 - 68*f**2 to g*f + z*f**2 + c and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -25591\nAnswer: 189\/25591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4611*d - 3860*d - 1754*d - 2806*d - 2353*d in the form g + t*d and give t.\nAnswer: -15384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -4 - (5 + -2). Let s = -5 + d. Let g = -2 + 1. Sort 2, s, g in decreasing order.\nAnswer: 2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**8*m))\/m)\/(m\/m**(1\/4)))**(1\/47) assuming m is positive.\nAnswer: m**(21\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -4 - 83928\/(-27225). Let i = -1\/363 + u. Put 0.4, i, -5 in ascending order.\nAnswer: -5, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14569293 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19036545 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*x - 260, -3*x + 117 - 924 = -3*g. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58530692 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) 63\/485 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6*w**3 + 1955*l**6*w + 29*l**2*w**3 + 43*w wrt l?\nAnswer: 120*l**3*w**3 + 234600*l**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/154 and -113\/920436.\nAnswer: 6443052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.4 (c) -2 (d) 6 (e) -1 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29906 - 0?\nAnswer: -29906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 957.9841 micrograms?\nAnswer: 0.9579841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*y - 1167 = -0*i, -y + 1162 = i. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -316.\nAnswer: -3\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11319*z**5 - 138754917*z**4 - 1190373492*z**3 - 952361184*z**2 - 265631040*z - 24990000 = 0. Calculate z.\nAnswer: -12250, -85\/11, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*t - 4 - 4*t.\nAnswer: t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3289*x**2 - 3. Let h(o) = -13798*o. Determine b(h(s)).\nAnswer: -626175620356*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 15*i**3 + 27*i**3 - 2 - 24*i**2 + 20*i**2 to b*i + k*i**2 + h + l*i**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46910135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (-1 + sqrt(567))) + -1 + 1*(sqrt(567) + -2))**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4417515 and 356?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723 a factor of 125327574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/n**8)\/((n**(-1\/3)\/n)\/((n\/(n\/n**21))\/n)))**7 assuming n is positive.\nAnswer: n**(385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100011010 - 110?\nAnswer: -1100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 21*o**2 + 20*o. Let r be h(-20). Suppose 4*v - 4*g = r, -6*g + 3*g + 2 = -2*v. Let s = 6 - 3. Solve -s*i = v*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914093491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/16*((-338)\/390 + 4\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 4*h - 10. Let o be l(-6). Suppose -5 - 9 = -o*c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 33*s**4 + s**3 + 2*s**4 + 1244 - 2*s**2 - 1242 in the form v*s + x + j*s**3 + c*s**2 + t*s**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*((c**(-7)\/c)\/c)\/c))\/(c**(-4)\/c)*c\/c**(2\/41)*c\/(c\/(c**(-3\/22)*c)) assuming c is positive.\nAnswer: c**(16069\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from ggddggggdgdggd?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 6*q - 4*o + 3, -4*o = -3*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39973\/10122 - -18\/241. What is the common denominator of x and 19\/1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03110215 and 5.\nAnswer: 5.03110215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -290 - -85 - (-2 - -3). Are c and -210 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140967 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = -4*p + 56, 2*g - 52 = -2*p. Suppose -g = -5*y + 4*q - 4, -3*y - 3*q = -39. What is y rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36313 is divided by 816?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 4*u - 1, -6 - 6 = -3*x - 3*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 730 - 455. Suppose g + 147 = 2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 3*v)*(-v**2 + v**2 + 2*v**4) - 2*v**2 + v**5 + 2*v**2 + (3 + 2 - 4)*(6*v**5 + 2*v**5 - 4*v**5) + 5*v**5 + 3*v**5 - 3*v**5 - v + v - v**5.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 910 - 2285 = 10*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63, 12, -143, -396, -741?\n\"Answer: c**3 - 58*c**2 + 116*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i - 1292. Let y(u) = -3*u - 323. What is 2*n(r) - 9*y(r)?\nAnswer: -r + 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 11*o - 4. What is j(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 991728397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80901, -80976, -81051, -81126?\n\"Answer: -75*b - 80826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12563539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 17*g + 80. Determine s(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 719, 1, -3, -202.\nAnswer: -202, -3, 1, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, -2, -338, -2\/21, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, -2\/21, -2, -52, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 3*t + 17*t**2)*(-12*t + 10774 - 10774) to x + z*t**3 + a*t + s*t**2 and give z.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4145992 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2295.705 to the nearest ten.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((-1 + -2*(-1 + sqrt(3) - sqrt(3)) + 1)*-6)**2)*2.\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30 - (-3)\/(-9))*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 5*r - r - 4*r. Let m(q) = -285*q. Let d(n) = 75*h(n) - 4*m(n). Calculate d(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 18*r = -30, 350*a - 3*r = 695*a - 344*a + 27 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -139579 greater than or equal to -138898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = p + 18, -5*m + 3*p = -2*p + 35. Let w(q) be the third derivative of -q**5\/60 + q**4\/12 - q**3\/2 - 3*q**2. Let k be w(3). Is m greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2784\/(-96) + (-861)\/(16 - 23)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -7)*(2\/(-2) - -2). Let v(i) be the first derivative of c*i**4 + 0*i**2 - i + 0*i**3 + 2\/5*i**5 - 1. What is the derivative of v(s) wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 286.6561 and -0.076.\nAnswer: -21.7858636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 2, -0.07, 6\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -21. Suppose -5*t + 17 = b, -5*t = -0*t + 2*b - 19. Let c be 7 + ((-6)\/t)\/2. Solve -3*o + 3*g - c*g - 15 = 0, 0 = -s*o + 2*g + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591099 less than 591099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1498*h + 3 + 0 + 241*h - 541*h - 5 to i*h + q and give i.\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 - 4*i - 5. Suppose 92 - 50 = -14*o. Calculate w(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -16*w**5 + 288*w**4 - 1652*w**3 + 3180*w**2 - 1800*w = 0.\nAnswer: 0, 1, 2, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o = 15. Suppose 8*w - o*w - 90 = 0. Find the first derivative of w*h - 7*h - 3 + 2 - 12 wrt h.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390559 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*m - 13*m + 12*m - 1 = 0, 0 = 2*k + 26*m + 426 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*u + 7, 0*w - 4*w = -2*u - 8. Let k(s) = s**2 - s - 2. Calculate the remainder when u\/11 + (-375)\/(-55) is divided by k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -119.93.\nAnswer: 59.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*a**5 - 10384*a**3 - 5*a**2 - 12*a - 218.\nAnswer: -1500*a**2 - 62304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 11282*s + 2540820.\nAnswer: 2*(s - 5406)*(s - 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6110)\/1833 + ((-3)\/7)\/(-3 - (-115)\/35).\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1 - a + 4*a - 2*a. Let m be p(-1). Let z = 1 + m. Solve -r = -z*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**0)**40 assuming w is positive.\nAnswer: w**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 67. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 11 + 13*n - 1 - n**2 in the form j + z*n**2 + p*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 70772*d**2 - 849892*d + 920660.\nAnswer: 4*(d - 17705)*(d - 1)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6\/7 (b) 2\/9 (c) -2\/235 (d) -0.2 (e) 2.9 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 3*m**5\/40 + 5*m**4\/24 - m**3\/3 - m**2 - 8*m. Solve k(x) = 0 for x.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m**2. Let k be t(2). Let i(v) = 11 - 5*v - 5*v - k - v**2 + 0*v**2. Calculate i(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/(z**(-12)\/z))\/(z**(-1\/8)*z**(2\/15)) assuming z is positive.\nAnswer: z**(2879\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + l + 5 - 21, -5*l + 40 = -5*d. Let k = -5 - d. Let u = 15 - 8. Solve -2*h - 2 = 0, 3*a - 4*h + k - u = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283773 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 492*j - 512*j. Suppose -5*w = -0*f + 4*f - 373, -223 = -3*w - 2*f. Let b = w + j. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/20 + d**4\/12 + d**3\/6 - 36*d**2. Let v(a) = -a**2 - 1. What is v(b) + z(b)?\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945540 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*t**2 - 2716*n*x**3 + 1416*n*x - 546*t**2*x**3 + 19*x**2 + 11 wrt x?\nAnswer: -16296*n - 3276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 + 0.133971?\nAnswer: 0.320971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -771, -1548, -2337, -3144, -3975, -4836, -5733, -6672?\n\"Answer: -t**3 - 770*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*g**2 - 2*g**2 - 7*g**2 + 50*g**2 as y*g**2 + f*g + a and give y.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(2 + 4 + 1 + sqrt(108) + -2*(sqrt(108) + 4 + sqrt(108) + 1)))**2.\nAnswer: 108*sqrt(3) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z - 5. Let v be y(-7). Let q be (2\/v*4)\/2. Let b be (-24)\/35 - (-6)\/21. Sort b, q, -5\/3.\nAnswer: -5\/3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896113 is divided by 2455.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.615 - -2571\nAnswer: 2569.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + l - 0*l + 53, 0 = -4*l + 12. What is the greatest common factor of q and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-84)*(-1)\/((-12)\/(-30))*2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/2 (b) 2518 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 322, 825, 1518, 2413, 3522, 4857, 6430, 8253?\n\"Answer: 2*m**3 + 83*m**2 + 240*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29690692.\nAnswer: 2, 19, 227, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 + 816\/(-442). Let r = -83.215 - -1.215. Which is the third biggest value? (a) s (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13864 to 3 decimal places.\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 7. Let q = s + 12. Let g be 4\/(-14) - 69998\/q. What is g rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.9, 7\/2, 0.1, -19?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2026, -6633, -13830, -23617, -35994, -50961?\n\"Answer: -1295*b**2 - 722*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 5*q - 97, -5*k + 165 = 5*q. Calculate the greatest common divisor of k and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 45*i**2 - 50*i + 125. Let f be d(3). Calculate the highest common factor of 988 and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (0 + (-516)\/30)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 4*o + 4. Let y(v) = -v + 3. Let f be y(5). Let b be s(f). Suppose c + 0 + 5 = 0, 2*q + 3*c = -11. Solve 0*l - b = -q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k - 1. Let l be z(-1). Let u = 4 - l. Find the third derivative of 4*n**2 - n**u + n**3 - n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/5, 2\/7, 1238, 1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19 + 1 = -t, 0 = t + 2*k + 18. Let o be t\/10*65\/(-26). Suppose -x = -o*x + 633. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3180*h**3 + 1585*h**3 + 1626*h**3.\nAnswer: 31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*m**2 - 59*m**2 - 21*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2250 - 676 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 19. Find the third derivative of -17*m**2 + 8*m**3 + 11*m**b + 12*m**2 wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2216, 4438, 6660, 8882, 11104, 13326?\n\"Answer: 2222*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*1\/4*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3334 or 0.07?\nAnswer: 3334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - (7 + -6)) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 17. Suppose 5*p + w*i - 70 = 6*i, -3*p + 69 = 3*i. Suppose -2 = 4*n - p. Solve o - 6 = n*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38696484 is divided by 3869648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-21)\/m**(-2\/11))**26)**(31\/2) assuming m is positive.\nAnswer: m**(-92287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 - 1)*(-3 - 2 + 6) - 3 - 4 + 1)*(-3*i + 22 - 19 + 6*i) to f + m*i and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*(-2*sqrt(1134) + sqrt(1134)) - sqrt(1134) - sqrt(1134) - sqrt(1134)) + sqrt(1134) + sqrt(1134))\/(sqrt(1152) + sqrt(1152)*-1 + sqrt(1152)).\nAnswer: -3*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3297 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 0, 1\/3, 11205 in increasing order.\nAnswer: 0, 1\/3, 159, 11205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -332 + 545*x**2 + 663 - 2011*x**2 - 334 as f*x + r + a*x**2 and give a.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 53*g - 1935135. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 48 - 2*u + u)*(2 - 2 - u)*(3 - 3 - 4) to n*u + r*u**2 + q and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24065 + -24065. Let p(i) = -2*i**2 + i - 24. Calculate p(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1007*t + 1141*t + 324*t - 648*t to f + o*t and give o.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 + 317. Suppose -2*r = 5*k + 284 + 135, k + u = 4*r. Let n = 233 + k. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 22404002?\nAnswer: 22403442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**3 - 12228*b**2 + 24424*b**2 - 12196*b**2 - 11*b**3.\nAnswer: -49*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 176744233.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-156)\/72)\/((-665)\/(-76))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(4\/(-7)) - 4\/8. Let h be (x - (-258)\/36) + -1*3. Let g = 5.6 - 6. Put -0.5, g, h in descending order.\nAnswer: h, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/13)\/(-2) + ((-6)\/(-1))\/((-24)\/(-16)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 1422*w + 4258. Determine n(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/3, 127\/5, 0 in increasing order.\nAnswer: -2\/5, 0, 2\/3, 127\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**3 + 41*f**4 + 10924*f**2 + 9*f**3 - 42*f**4 + 12*f**4 wrt f?\nAnswer: 264*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbs when three letters picked without replacement from bsgmxxmps?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**6\/60 + c**5\/15 + c**2 - 5*c. Let b(v) be the first derivative of q(v). What is the third derivative of b(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95880847?\nAnswer: 95880847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -19. Let t(p) = p**2 - 6*p + 4. Let h be t(6). Calculate the greatest common factor of h and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -254*j - 1. Let d(a) = 46577*a**2 - 23296*a**2 - 23296*a**2. Give y(d(i)).\nAnswer: 3810*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) -0.057827 (c) -1\/8 (d) -1\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 8819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535 (base 11) in base 14?\nAnswer: -a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3375.01 + 3375. Put 0.7, 0.05, g in ascending order.\nAnswer: g, 0.05, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -2*g**6\/5 - g**4\/3 - 19*g**3\/6 - 2704*g**2 - 93*g - 18. What is the first derivative of m(v) wrt v?\nAnswer: -48*v**3 - 8*v - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 361158\/14869?\nAnswer: 361158\/14869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 344821 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y - 16. Let b be ((-4)\/24)\/(3\/18). Let s(d) = -d - 1. What is b*l(w) + 12*s(w)?\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -84897 greater than or equal to -84797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 267 = -3*c, 4*j - 36*c = -31*c + 1047. Let v = -991\/4 + j. Calculate the common denominator of 11\/80 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(2464\/(-144))*1\/(15\/(-56)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 51 - 59 = 0. Suppose -2*g - 15 = -5*g. Suppose k + q = g*n, -5*k + 2*k = n + 2. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 25 + (-1 - 17) + -1 + -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2703, 5410, 8115, 10818, 13519, 16218, 18915?\n\"Answer: -z**2 + 2710*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c + 7*c + 125*c.\nAnswer: 153*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13756 - 37?\nAnswer: 13718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 1341 - 285. Let j(z) = 4*z - c + 44 - 7*z. Let t(k) = 6*k + 7. Calculate 7*j(p) + 4*t(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:12 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8342053367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 11211 - 36369 = 0. Let w = o + 2501. Let t = 166 - w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 718456 and 9672?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49189908 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222054 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-117))\/(4\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - -1010122121212?\nAnswer: 1010122201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:51 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + 117 + 0 + -1 + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 437 times 1\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3233310003 + 1?\nAnswer: 3233310010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8970 and 13650?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13139860 divided by -4?\nAnswer: 3284965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmffmfmffmffm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/9 - 2\/(-12))*3383\/(-398).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 2. Let x(o) = o. Suppose -2*k + 24 = -2*r, -2*k - 3*r + 34 = 2*k. Let s(d) = k*x(d) + 2*i(d). Is 4 a factor of s(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 25. Let g = l - 4. Is (-355)\/(-10) - g\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*j = 190*j - 63 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16269 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 53583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -302810139 divided by 105033?\nAnswer: -2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20826 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13651 and 73.\nAnswer: 13651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((4 - (-9 + 6 - -7)) + 25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-21)*5\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 36481*f**3\/9 - 2431048*f**2 + 364504464*f = 0.\nAnswer: 0, 57276\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000353397 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 - 46*w**4 + 3*w**3 - 5*w**3 - 4*w**2 - w - 1 - 1 + 2*w**2 in the form l*w**4 + i + s*w**2 + u*w**3 + q*w and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*k - 3)*(57 - 131*k + 53*k + 75*k)*(-74*k - 110*k - 35*k) to the form z*k**2 + s + g*k + f*k**3 and give z.\nAnswer: -24966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7*g - 36. Solve 4*q + 11 = -g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/7 - 40347*d\/7 - 161724 = 0.\nAnswer: -28, 13477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:14 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700 less than 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13436*u + 28*u**3 - 13436*u - 38*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011001 (base 2) in base 12?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**3 + 3*k**3 + 2*k**2 - 199*k - 59*k - 36*k**3.\nAnswer: -2*k**3 + 2*k**2 - 258*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u**2 + 40100*u**3 + 9*u**2 + 2*u**4 - u - 40098*u**3 to the form g*u**4 + l*u**3 + a + n*u + m*u**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-7)\/((-189)\/(-9))))\/(6\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, 4, -5, 0.23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3)\/180*29\/(1798\/1705)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 + 39192*f**2 - 127804887*f - 1281971070 = 0.\nAnswer: -10, 6537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5356 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1210*m + 1219*m - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -39*z + 33*z. Calculate the remainder when 1772\/z*(-12 + (-350)\/(-28)) is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*y + 2 + 4, 0 = -5*x + 5*y. Let h be 3\/6 + (-91)\/2. Is (37\/(-3))\/(x\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27457 - -14967. Does -12489 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufff when four letters picked without replacement from ufuuffffuuuufffffff?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Let m be 190\/y + 8\/16. Suppose -4*q + 9*q - 2*r - m = 0, -5*r - 15 = -2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.114, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/4 + -2. Which is the second biggest value? (a) o (b) -2\/7 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779401.\nAnswer: 7, 23, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5521841167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.277 greater than 3088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(36)\/sqrt(12)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937.9 rounded to the nearest ten?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -12 (b) 1\/9 (c) -1931.1 (d) -1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 297069, 297072, 297075, 297078, 297081, 297084?\n\"Answer: 3*r + 297066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-387)\/(-43))\/(1 + (-2)\/(-4)). Calculate the highest common factor of o and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 316, 481, 650, 823?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 898 (b) 870 (c) 4\/51 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 + 3*z - 4. Give v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by -2\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(2*x**2 + 0*x + 0*x + (2 + 2 - 6)*(x + 2*x**2 - x) + 0*x**2 + x**2 + 0*x**2 + 27*x**2 + 32*x**2 - 9*x**2).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0995 + -1.58?\nAnswer: -1.4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 65 = 22*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6927942 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -8. What is the least common multiple of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 - 3*c**2 - 3*c + 6. Let y be q(2). What is the units digit of ((90\/4)\/(-5))\/((-3)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*j + 19*j + 806*j in the form p*j + q and give p.\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 - 281. Find m, given that 1\/2*m**2 + 1\/3*m**v - 1\/2*m - 1\/3 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*5*2)\/(4*(sqrt(1440) + sqrt(1440)*1)).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -82, -127, -174, -223, -274, -327?\n\"Answer: -q**2 - 40*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 285*w - 8 - 339*w + 8. Let i(l) = 0*l**2 - 5*l**2 + 6*l**2 - 2*l**2. What is i(p(k))?\nAnswer: -2916*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369.\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 + 247159*y**2 - 15271274904*y - 76362553620 = 0. What is y?\nAnswer: -5, 123582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(-48)\/40*1 - 687344\/(-20)?\nAnswer: 2, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 - -2. Let i be 10395\/1617 - (-1 + 8). Put 1\/5, g, 1\/7, i in decreasing order.\nAnswer: g, 1\/5, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350\/1350 - 4\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -6a31?\nAnswer: -6a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13600 divided by -6800\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4345 in 1, 3\/8, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, 8, -5, 5, -155 in decreasing order.\nAnswer: 22, 8, 5, 2, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 47109 + 8954. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrlq when four letters picked without replacement from {r: 2, j: 1, l: 1, q: 5}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1343*k + 701. What is the ten thousands digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11034 * -0.16.\nAnswer: 1765.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 + 10*m + 59. Calculate x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-30))*w*w))\/w)\/((w*w**(1\/3))\/w) assuming w is positive.\nAnswer: w**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 17. Let v = 25.6 - 11.6. Which is the second smallest value? (a) 5 (b) v (c) o (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (-9399)\/195 + -41*2\/90?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.134? (a) 91 (b) -12 (c) 579\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*f - 12 = 2*f, 0 = -3*f - 12. Let h(p) = p - 2*p + m*p. Let s(j) be the third derivative of j**5\/6 + 15*j**2. What is s(h(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/104*1487551\/(-5406)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o - 8*o - 11*o)*(-2 + 5 - 1)*(3 + o**4 - 3).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {b: 13, k: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0674 = -0.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 2121 + 453. Let s = 147 - v. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:29 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 - 0.16. Let a = y - 0.13. What is the smallest value in 2\/19, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/4 - 14*h + 333 = 0.\nAnswer: -74, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-152.98\nAnswer: 10.7086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110221 (base 4) to base 10.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 198*y + 2056. Determine u(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-225 - 210 + 400)*(-5 + 0 + 4) + (0 + 0 - 1)*(3 + 4 - 4))*(2*d**3 + 3*d**3 - d**3).\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -208, -203, -202, -211, -236, -283, -358, -467?\n\"Answer: -w**3 + 4*w**2 - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**2 - 185*g - 343. What is v(-22)?\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -350 - -733. List the prime factors of n.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4078 and 47551519?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 8*f**2 - 3*f - 4. Let q be s(-8). Let z = -18 + q. Solve 57 - 12 - 9*t - t**2 + 6*t**z - 21*t = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 10*n**2 - 13*n + 2. Let o be z(-11). Sort o, -2, -1 in decreasing order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40145 and 186.\nAnswer: 240870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7548350*q - 150966997. Give l(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-16)\/(-72))\/(1\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: d4d (base 14) to base 9\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/49, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 3. Suppose 3*w - d*w + 710000 = 0. Round w to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*m**3 + 3*m**2 + 52*m**3 + 53*m**3 - 6*m**2 - 3*m**2 - 37*m + 2 as b*m**3 + k + a*m**2 + s*m and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47991 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/36)\/(28\/210))\/(3\/(-12)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, y: 2}. What is prob of picking 3 v and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210201 - -12?\nAnswer: -210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/8*(0 - 0). Suppose -g - 2*d + 1 = 0, x = -3*g + 2*d + 2*d + 43. Find the second derivative of -34*r**3 + 2*r - 7*r**5 + 34*r**3 - g*r wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 782, 833, 904?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 7 + 5. Suppose -4*u - 2*o = -4858, 3*u - 2*o + 3*o = 3643. Is u + -1 - ((-16)\/(-4) + h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**3\/3 - 7*g**2\/2 + 6*g - 469. What is m(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*s**2 - 12*s = 0. What is s?\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12160*b + 22896. What is n(-2)?\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h. Let i(g) = -g. Let n(m) = 5*i(m) - v(m). Let z(f) be the third derivative of -f**4\/24 - f**2. Give z(n(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n + 3. Let g be (-8)\/(-2)*(4 + n). Let k(h) = 2*h + 5. Let x be k(-5). Let w(o) = 6*o. Let d(m) = 5*m. Give g*w(c) + x*d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33631, 1, 11, 13, 2.\nAnswer: 1, 2, 11, 13, 33631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.261704687 to 5 dps.\nAnswer: 0.2617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(98)*2)**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59358233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.55 - 53.55. Which is the nearest to o? (a) -0.1 (b) 0.36 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4386*c**3*p**2 - 4*c**3*p*u**2 - 45*c**2*p**2*u**2 + c**2*p**2 - 6*c**2*p*u**2 wrt c.\nAnswer: 26316*p**2 - 24*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3716*p + 587 + 10622 - 61 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 2 - 2*s**4 - 11*s - s**2 + 10*s - s**3 in the form u*s**3 + t + m*s**2 + l*s + i*s**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82201 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 46*v - 24. Let s(f) = -81*f + 42. Let x(j) = -7*k(j) - 4*s(j). Let p(n) = 36*n + 2. Calculate p(x(t)).\nAnswer: 72*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 258c3a (base 13) in base 2?\nAnswer: 11011100111101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 - 13*u + 42. Let p be q(8). Solve -54 - 3*f**p + 10 - 48*f + 39 - 94 - 93 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13523303103 + 5?\nAnswer: -13523303054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -101, -120, -139, -158, -177?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10322021102 + -10322?\nAnswer: 10322010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -18*p - 3. Let x be i(-2). Suppose 3*v + 9 - x = 0. Solve 0 = 4*c + v + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 + 26*v + 85. Determine p(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 36*x**2 + x + 33. Let c be y(-36). Is -393*(13\/c)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161636 times 2308?\nAnswer: 373.055888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580368135.\nAnswer: 3, 5, 38691209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 9*d + 7. Let s be b(9). Let t = s + 20. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, -97, -262, -423, -580?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5\/(-4))*37260\/(-204 + 89).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + 171 - (-3 + 3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 20 - 11 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 4814*i**3 - 3 - 2*i + 3*i + 2183*i**3.\nAnswer: -2631*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*l - 9*l. Suppose 2*p - 24 = -h + l*h, -3*p + 35 = -4*h. Suppose x - 2*x = -26. What is the greatest common factor of x and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 28*c**3 + 6*c**2 + 20*c - 54. Calculate the smallest common multiple of 234 and a(2).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*l**3 + 9*l**3 + 13*l**3 + 2*l - 85*l**3 + l**2 + 7*l**3 to the form z*l**2 + g*l**3 + u + m*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8267 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570 + 2*f - 570 - 3*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 89 = -4*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d - 42. Determine r(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 + 3*a + 11. What is r(-3)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/40 + l**5\/60 - l**4\/24 - 5*l**3\/3 - 4*l**2. Let d(t) be the first derivative of g(t). Determine d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Let z = v + 2.9. Let f = z - -0.3. What is the second smallest value in 4, f, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 5 - 8)*(-1 + 4 + 0)*(-3*y + 2*y - y) to the form q*y + l and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*t + 1096*t + 20045 + 92087 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.341825 - -0.02?\nAnswer: 16.361825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by 767.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 u, and 1 l when four letters picked without replacement from upuuuaall.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3813, 3762, 3637, 3450, 3213?\n\"Answer: 2*l**3 - 49*l**2 + 82*l + 3778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-1)\/8*45)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 10 + 2. Let z(g) = 45*g - 5. Let y(c) = -9*c + 1. Give o*z(f) + 11*y(f).\nAnswer: -9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2323 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18071515 and 4928595?\nAnswer: 54214545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 minus 629762640?\nAnswer: -629763892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.8 - 22.7. Let l = o + 2.1. Let k be (-8)\/14 - (-4)\/(-14). Which is the third biggest value? (a) 0.5 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**5\/13 + 1544*q**4\/13 - 29534*q**3\/13 + 127260*q**2\/13 + 55728*q\/13 = 0?\nAnswer: -172, -2\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 299?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 26*b**2 - 69*b - 28. Does 3 divide x(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2480580*t**6 - 80935*t**2 + 14*t wrt t?\nAnswer: 297669600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-12)\/8*(-20)\/6 and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025852.3 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, 5, 1958 in descending order.\nAnswer: 1958, 5, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 196058907 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -387942.73 rounded to the nearest 100?\nAnswer: -387900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 2*p - 1. Suppose -2*s - n + 2*n = 0, s - n = -2. Let r(z) = -4*z**2 - 3 - 4*z**2 + 3*z - z**2 + 8*z**2. Let l be r(s). What is x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**2 + 8*p**2 + 2*p**5 + (0*p + 3*p - 2*p)*(p**4 + 0*p**3 + 0*p**3).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 23*p - 3 - 50*p + 23*p + 0.\nAnswer: -4*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08527 minus 5?\nAnswer: -5.08527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Suppose -7*t + 96 = -31*t. Sort v, -5, t in increasing order.\nAnswer: -5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -5, -3, 6\/11, 0?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73695143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.51 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11715, 23432, 35151, 46872?\nAnswer: 58595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -x - 3*s, -938*s = 11*x - 934*s - 71 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let r(k) be the second derivative of -k**5\/20 + k**4\/12 - k**3\/6 + 19*k**2\/2 + 2*k. What is the remainder when r(a) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/630*60*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 3. Let i(s) = 9*s - 6. Let l(g) = -14*c(g) + 6*i(g). Let h be l(5). Is -7 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 19*k + 33. Calculate t(-11).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4933 + 0.0643. Let k = 0.071 - o. What is the third biggest value in k, -19, -0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*h + 96, 0 = -3*h + 2*r + 3*r + 86. Suppose -7*v = -h*v + 2880. Is v a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (221\/(-26) - -9)\/(663\/(-702))\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 0, 0*l = -4*l + u. Let r(q) = 17*q**2 - 2*q + 1. What is the tens digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151430164793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b - 19*b - 14*b + 97*b - 98*b**2.\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*t**2 - 259*t + 259*t.\nAnswer: 79*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-2))*j*j)**(1\/23)\/(j*j**(-7)*j*j*(j*j**(4\/9))\/j))**(18\/7) assuming j is positive.\nAnswer: j**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.96 + -0.04. Suppose 0 = -0*c + 3*c + 528. Let y = -1230\/7 - c. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1575 - -272?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/1305*(-6)\/(-2))\/((-8)\/(-36)*-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -11, -73, -155, -263?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) 4 (d) 0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155378700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751896 to the power of 1\/2, to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisssissbslilfi. What is prob of sequence iib?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1)\/((-60)\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + 900*c**3 - 3603*c**2\/4 - 3601*c\/2.\nAnswer: c*(c - 2)*(c + 1)*(c + 3601)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 44739, 1\/4, 2\/7, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + -20) - 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1871*a + 7. Let z be g(-3). Suppose 5*p - 2800 = 5*h - 3*h, 4*h = 5*p - z. Round h to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + 6. Let a(n) = -4*n**3 - 4*n**2 - 7*n + 3. Let m(x) = -5*x**3 - 5*x**2 - 8*x + 4. Let r(h) = j*m(h) - 6*a(h). Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348.9 + 349. Which is the second biggest value? (a) 0.2 (b) -0.005 (c) l (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24323697551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i - 11. Let s(p) = -3. Let z(o) = -g(o) + 2*s(o). Let f(a) = 11*a + 24. Let x(d) = d - 3. Let l(q) = f(q) + 5*x(q). Determine -6*l(j) + 11*z(j).\nAnswer: -8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.0257 (b) -9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 90*z**2 - 90*z**2 - 5*z**3 - 4. Suppose -9*a = -6*a + 2*k + 10, 2*a - 2*k + 10 = 0. Let y(d) = 70*d**3 + 55. Calculate a*y(p) - 55*r(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d + 50. Let a(z) = z**2 + 2. Let w be a(0). Calculate the remainder when 42\/w*24\/28 is divided by j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.056578.\nAnswer: -0.0113156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-33) - 6944\/(-44). Suppose -a - 4*a = 2*d - 220, -4*a + 2*d + k = 0. Calculate the remainder when a is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1434*f**4 + 7*f + 1308. Let v(d) = -1442*d**4 + 6*d + 1308. Let b(p) = -6*r(p) + 7*v(p). Find the first derivative of b(s) wrt s.\nAnswer: -5960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1750796 by 34.\nAnswer: 51494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72068\/129 + (-8)\/(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/8 + 4409*x**2\/8 + 4857615*x\/8 - 4862025\/8.\nAnswer: (x - 1)*(x + 2205)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*g - 123416 = 0, 362*j + 41155 = 363*j + 4*g. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1674 and 113\/2447202?\nAnswer: 22024818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173881 + 173932. Suppose 404 - 115 = u. Calculate the greatest common divisor of u and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -2. Which is greater: -39 or o?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.2 (b) 9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 31.844. Let g = 0.08 + l. Let a = g + -0.026. What is a rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1181 (c) -167\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 0. Suppose -9*s - 57 = -12*s - 5*v, 0 = -4*v + 12. Let h be s\/(-4)*(48\/14)\/(-3). Solve -h*g + 5*y - 7 = 2*y, w = g - 2*y - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + 2*u**2)*(9*u + 2*u + u) + (6*u**2 - u**2 - 2*u**2)*(8*u - 21*u + 16*u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/3 - z**2 + 7*z. Let t be s(-2). What is the third derivative of 4*b**t + 38*b**5 - 6*b**6 - 38*b**5 wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:01 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 + -108. Suppose 0 = 2*t - n - 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/182 - 78\/4550*-25\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970028 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -23\/17 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56025 and 7025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssszszssszzzzz. Give prob of sequence sss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x + 8*x - 8*x + (-2 + 2 + 1)*(-x + 3 - 3) - 2*x + 0*x + 0*x + 2*x + x - x - 6*x + 36*x + 7*x to w*x + j and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offf when four letters picked without replacement from {f: 8, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 12*o + 3. Let u be w(-12). Let j(t) = -5*t + 3. What is j(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 222?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19048 - -0.09048. What is the third biggest value in 465, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 47*l - 469. What are the prime factors of c(34)?\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a millennium in years?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443255 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1073?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7494 and 1473.\nAnswer: 3679554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/5*((-15)\/4 + 3). Solve 3 = x*p, -2*k = -0*k - 2*p - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/5 + 2*j**4\/3 - 10*j**3\/3 - 12*j**2 - 20*j + 8. Let d(y) be the first derivative of r(y). Factor d(l).\nAnswer: 4*(l - 2)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7015.53 and 1925.8.\nAnswer: 8941.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**4 + 30*d**3 - 20*d**2 + 13*d + 48. Let x(q) = -4*q**4 + 26*q**3 - 20*q**2 + 10*q + 48. Let s(j) = -6*p(j) + 7*x(j). Factor s(z).\nAnswer: 2*(z - 2)**2*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let c(p) = l - 4 - p + 2. Let n = 2164 + -2165. Let h(j) = -2*j**2 + 2. Give n*h(o) - c(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - -3) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 2, h: 3, d: 2, r: 2, f: 6}. What is prob of picking 1 r, 1 d, and 1 f?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o - 720. Determine w(71).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -174*t + 178*t + 8, -3*t + 2*g = 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i, 0 = 4*q + 2*i - 5 - 3. Let y = -76 + 78. Let j be y*5*(-5)\/(-125). What is the closest to j in q, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -17*u - 264. Let w = u - 88. Solve 2*p + 0 + 6 = w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 14192*f - 9249240 = 0. Calculate f.\nAnswer: -6370, -726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -5)*40\/15. Let m = j - 3. Suppose 0 = d - 2*d + m. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14314 smaller than 71576\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/38464 and -91\/34098?\nAnswer: 655772736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/(-2*4\/8).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72311 divided by 6.\nAnswer: 72311\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 + 10*j + 26. Give a(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -561 + 577. Solve 2*h = 5*o - 14, -2*h + a = o + 2*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153233.\nAnswer: 31, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**3 - 24*n**2 + 20*n + 15. Let y(z) = 2*z**3 - 4*z**2 + 4*z + 3. Let j(w) = -2*c(w) + 11*y(w). Calculate j(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(6\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12455 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*z - 280 + 292, 5*z - 9*b - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from vffvvf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*s - 1 + 43*s + 57*s + 1.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*m + 1333*m = -3166 + 133828 for m.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42062.9 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {g: 4, b: 1, i: 2, d: 5, o: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + (-6 - (0 - 2)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 + 935\/(-340)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/268625551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2552.\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11523454?\nAnswer: 2, 1423, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 8734420*g\/9 - 9536261592050\/9.\nAnswer: -2*(g - 2183605)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 31086*w**3 - 18*w**2 + 108*w - 18. Let c(f) = -12435*f**3 + 7*f**2 - 42*f + 7. What is 18*c(r) + 7*j(r)?\nAnswer: -6228*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3946 + -4019. Sort -0.49, a, -0.5 in descending order.\nAnswer: -0.49, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-2 + (-2 - -2))) + 331 + -333.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-42) - 229\/7. Let p = 58 + r. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + u - 3 = 0, 0*t + 4*t - u + 3 = 0. Solve 2*q + 8 = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 35 = 4*z + 25, -4*z - 28 = -l. Let c be -32*(2\/(-1))\/1. What is the greatest common divisor of l and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*p + 462. Let s be 3*((-20)\/14)\/((-33)\/p). Calculate the greatest common divisor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475638.\nAnswer: 2, 3, 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 0, 5 in decreasing order.\nAnswer: 7, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3403200 (base 5) to base 15.\nAnswer: -12aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 215*c**2 - 6856*c + 48060.\nAnswer: -(c - 178)*(c - 27)*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -470. What are the prime factors of y?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8343 and 484569783?\nAnswer: 8343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/60)\/(-4))\/(2\/3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 = 3*d, 0 = -p + 4*p + 3*d + 3. Suppose 6*g = p*g + 20. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4765098004 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 18. What is y(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 3021620*c - 21151144 = 0. Calculate c.\nAnswer: -755398, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 6) to base 7\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -315, 2 in increasing order.\nAnswer: -315, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1650.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 17*c - 77. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -503, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {j: 4, a: 2, z: 1, o: 1, m: 10}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*a**2 + 0*a + 0*a + a**5 + 17*a**2 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 36*l - 45*l. Which is the closest to -12? (a) -4 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9438 and 780.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(60\/(-56))\/(-15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j - 322 = 158 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose 0 = 14*m - 13*m. Solve m = -2*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let w be 450\/75 - 34\/2*-1. Suppose r = -3*h + 25, 3*h + r = 6*h - w. Sort h, 2, u in descending order.\nAnswer: h, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245334880 divided by 245334880?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606958 at most 1606946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1663 - -5057\/3. Let s = -2\/975 + 7814\/6825. Find the common denominator of z and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 47. Let n be g(-10). Suppose -14*v = -n*v. Let y(c) = 2*c + 8. Give y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 38*f**3 - 15*f**2 + 10 + 37*f**3 + 2*f. Let k be o(-15). Suppose k = -m + 3*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -208. Let m be 0 + -1 + 9\/l*-21. Let f be 35\/(-7) + 2\/1. Is f not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, 1 y, and 1 i when four letters picked without replacement from {u: 11, y: 2, q: 1, k: 1, i: 4}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53288 + 31*j**2 - 17796 - 17748 - 17744.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -860 + 854. Let p(g) = -g**2 + 7*g + 14. Calculate p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179990?\nAnswer: 2, 3, 5, 139333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4*z + 1366*u**3*z + 11*u**2*z + 2*u*z + 31043*z wrt u?\nAnswer: 12*u**2*z + 8196*u*z + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19788 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178\/(-5)*-10*(-12)\/(-24)*181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 - 13*k - 41. Calculate w(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 571472821 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/30 + v**4\/4 - v**3\/2 - 50*v**2 - 5. What is t(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {w: 3, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-204)\/(-18) + (-24)\/(-36). What is the biggest value in x, -0.01, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111251384 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + 0*n**4 + 2*n**4)*(0*n + 5*n - n) + 0*n**3 - 3*n**5 + 0*n**3.\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 17290000 = 51*p + 5*q, 0 = -2*p + 3*q - 34580000. Round p to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/22*-616*238\/619752?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5597035 is divided by 277.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 152362012824570 and -5.\nAnswer: 152362012824565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3. Let f(z) = -5*z**3 + 13*z**2 + 17*z + 13. Let s(h) = f(h) + 4*y(h). Is 11 a factor of s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g. Let b(x) = -41341894*x**2. Give d(b(t)).\nAnswer: -124025682*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -125166\nAnswer: -5131806","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 473 and 121561?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15\/200*65\/117)\/(((-4)\/(-4))\/2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 290 = 87 + 91 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c**2 + 97*c**2 - 288*c**2 - 36*c + 95*c**2.\nAnswer: -3*c**2 - 36*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*u - 52, 4*y - 4*u - 44 = -0*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-9)\/(-2). Let m(z) = -900 + 40*z + 907 - 34*z. Let j(b) = 5*b + 6. Calculate u*m(x) - 5*j(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -7. What is the units digit of (40\/(-25))\/(2\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9205010 < -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67010 and 33505?\nAnswer: 67010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 + -116. Suppose r = 6*f - 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752987 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 466518613*i**4 - 4795658*i + 70 wrt i.\nAnswer: 5598223356*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1417 and 611?\nAnswer: 66599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let d = 4 - 2. What is the units digit of (h - 2)\/(d\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81120880 by 83.\nAnswer: 977360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 20. Suppose -2*x + h = -36. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.96 + 3.96. What is the biggest value in r, -1\/4, 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 148865.6l?\nAnswer: 148865600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260133.\nAnswer: 3, 86711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 175*k**3 + 39*k**2 + 172*k**3 - 15*k**2 + 3*k**2 - 17*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402125.\nAnswer: 5, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 0*p**3 + 293*p**2 - 293*p**2 + 5*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1774631179 and -0.4.\nAnswer: 709852471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - t**3 - 36*t**3 + (16 - 7 - 21)*(-5*t**3 + 7*t**3 - t**3) to m*t**2 + o*t**3 + d*t + h and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 464695.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(243)*1 - sqrt(243)) + -5) + -5 - ((1*sqrt(18)\/sqrt(2))\/(sqrt(6)\/sqrt(18)) + -2))**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*l**3 + 446*l**2 + 2031 - 2031 - 180*l**2 + 247*l**3.\nAnswer: -l**3 + 266*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 62 = -g + 70, 3*g + 32 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -2\/167, 0.3, -1\/19, -2\/11, -4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 68.19. Let y = v + 0.31. Let s = 0.09 - -0.41. Which is the closest to 0.1? (a) 3\/7 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6296? (a) 3\/7 (b) 2 (c) 2\/9 (d) 0.11 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -39 + 111 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 13*q - 27. Let v be l(-15). Suppose -f - 4 = v*w - 5, 3*w + 23 = 5*f. Suppose 25 = 3*p + x - 5*x, 4*x - 41 = -3*p. Is w > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*t, -2*s + 2*t = -9 - 3. Suppose s*p = 3*y + 12, -p - 5*y + 3 = -0. Solve -p*a = -5*a + n - 2, 0 = -a + 3*n + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + h**2 + 1. Let s = -2 + 4. Let g be (s - 2)\/(0 + 2). What is the least common multiple of 3 and y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/60 + c**5\/12 + c**4\/8 + 7511*c**2. Let q(d) = 4*d + 2. Let b be q(2). Let a = 7 - b. What is v(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.644926 and 2409.\nAnswer: 2414.644926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 6235*l**3 + 1886115*l**2 - 290235575*l - 149771437060.\nAnswer: 5*(l - 244)*(l + 497)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*l - 160, -3*l = -2*l + 3*w - 52. Let u = -51 + l. What is the second smallest value in 0.05, u, -1, 1\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47432 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**3 - 5*s**3 - 2*s**3)*(-5 + 1 + 0)*(-886 + 1000 - 2*s + 0*s) as x*s + u*s**3 + m*s**4 + a + h*s**2 and give u.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1568) - (sqrt(1568) - (sqrt(1568) + -3)**2)*-5) + 4)*1.\nAnswer: -7881 + 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(128))\/((sqrt(192)\/sqrt(4))\/sqrt(12)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66131.\nAnswer: 13, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*m + 2*m - 9, -2*m = 4*g - 12. Suppose s = 4*o - 8, -2*o - 4 = -g*s + 2. Suppose 5*j + 94 = 2*r, o*j - j - 293 = -5*r. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14\/(w\/(w\/w**(1\/5)*w))*w\/w**(-10)*w**7)**(-19) assuming w is positive.\nAnswer: w**(-3116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-19)\/(-114)). Let j = 51 + 33. Suppose -x = 2*s - 42, -3*s - s + x = -j. Calculate the highest common divisor of s and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523291 is divided by 259.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(72) + 1)*6 - ((1*sqrt(72) - sqrt(72)) + -5)) + (3*4*sqrt(72) - sqrt(72)) + -3)*2)**2.\nAnswer: 6528*sqrt(2) + 83486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3 - y**2\/2 - 3*y - 1938. Give u(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2988984196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z + 4*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 435.1675l?\nAnswer: 435167.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 13?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - (-28 - (-67 - (-9 + 1)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 62*x + 1476. Calculate o(-23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1650848, 1650860, 1650872, 1650884, 1650896, 1650908?\n\"Answer: 12*d + 1650836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.858?\nAnswer: 0.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 5:35 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/10)\/v)\/((v*v**(-8))\/v))\/(v*v**(-3\/10)\/v*v**2) assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2722.6177.\nAnswer: -8167.8531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*u - 13, -3*d - 3*u + 12 = -21. Suppose -3*a + 11 = 2*c, 5*c - 4 = 3*a - 8. What is the remainder when d is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13185560*h - 4357018 wrt h.\nAnswer: 13185560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*k + 2, 10*k - 6 = 12*k + 4*v. Suppose -2 = -2*f - k*s + s, -3*s - 1 = -f. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o + 606 = -2309 + 99 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 24*r + 2*z, 2*r - 85 = -4*z - 71 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -15. Calculate the lowest common multiple of 16 and 2 + t\/((-15)\/24).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 c when three letters picked without replacement from {b: 7, u: 2, c: 1, y: 2, s: 1, t: 2}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 114572 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-60)*75\/(-275)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 - 2*w - 1. Suppose 4*m - 5*a - 10 = 0, 4*m + 4*a + 0 + 8 = 0. Let k be 1 + m + -1*2. Is s(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 36. Let i = z - 21.4. What is i rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22248 != -16547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77486923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -1?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/280 or 1?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -3. Let a = l + -9. Let v = 7.9 - a. What is the closest to v in 5, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q - 9 + 7*q + 11*q - 23*q to b + c*q and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4851332857.\nAnswer: 7, 17, 103, 56543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-4) + -1 + -4. Let p(o) be the third derivative of o**4\/12 + o**3\/2 + 3*o**2. Let k be p(v). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7909 - -0.023029889.\nAnswer: 7909.023029889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20439 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 768 and 34560.\nAnswer: 34560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r - 138. Let d be t(-8). Sort -1, d, 1 in increasing order.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.079 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -893, -1599, -2597, -3893?\nAnswer: -5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - 3*d**2 - 6*d - 26. Let i(s) = -22*s**3 - 12*s**2 - 25*s - 103. Let n(f) = 9*h(f) - 2*i(f). Calculate n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -15)\/108*(2 - 12\/9)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*m + 18, s - 19 = -m - 2*s. Suppose 276 = 3*l + 2*k, 7*k - 2*k = -4*l + 368. Suppose -m*y = -3*y - l. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163*d*n**2*q - 5156*d*n**2 + d*q wrt q.\nAnswer: 163*d*n**2 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.5, -2, 2, 3.4, -3 in descending order.\nAnswer: 6, 3.4, 2, 0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.5 (c) -5 (d) -0.2 (e) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 7) in base 8?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111101001 (base 2) in base 5?\nAnswer: -13001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7957\/9240 - 61\/420. Let a = h - -3\/88. Let z = a - 1\/2. What is the biggest value in 5, z, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/35, -6, 296\/169, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2540, 2524, 2504, 2474, 2428, 2360, 2264?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 239780*-0.091\nAnswer: -21819.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 25*z - 41 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -64\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*g + 2*g + 38, 0 = -3*g - 6. What is the remainder when 37 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 1770?\nAnswer: 184080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -20*c**2 - 6*c + 58. Calculate s(-4).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/3550)\/(342\/855)?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = -2*p + m, 2*m = -4*p + 12. Suppose z - p*z = -8. Suppose 2*l + 24 + 26 = 3*k, z*k + 3*l - 61 = 0. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/(7\/21).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -967*a**2*q**3*u**2 - 1660229*a**2*q*u**3 - 5*a**2 + 337*a*q**3*u**2 + 3*q**3*u**3 wrt u.\nAnswer: -9961374*a**2*q + 18*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -36, 3\/40, -1?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 - 7?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let l = -2.48 + 159.48. Let c = -156 + l. Sort c, h, 0.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98870219?\nAnswer: 7, 2803, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4558 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 637164507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:53 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from gruhqlrrghuruhq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-4)\/(-3). Let o(l) = -2*l - 74 + 4*l + 8*l**2 + 71 + 0*l. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738923 divided by 41?\nAnswer: 66803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*u + 74 - 23 = 0. Let g = 5 + -1. Let z(j) = j**2 + j - 1. Let m(q) = q**2 - 4*q + 4. Give g*z(r) + u*m(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -343*g**3 - 540*g**2 - 26*g + 4. Let p(t) = -685*t**3 - 1081*t**2 - 46*t + 7. Let c(j) = -7*b(j) + 4*p(j). Find the third derivative of c(i) wrt i.\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.9486 and 102?\nAnswer: -3564.7572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5110137 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.032 + -14.368. Let h = m + 23. Let l = 7.6 - h. Which is bigger: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (142\/10 - 14)*65?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/89 + 33267\/101549. Let q = -2256\/14833 - m. Let x = -2858 + 2853. Put x, q, -0.7, -1 in ascending order.\nAnswer: x, -1, -0.7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:43 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-6*(-2)\/62*(-26)\/(-234)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*4 + (sqrt(1008) - sqrt(63))**2.\nAnswer: 4*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 3, z: 1, w: 3, h: 4, s: 4}. What is prob of picking 1 w and 2 s?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2927 in -1.06, 1\/3, 3\/7?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -594*o**2 - 2*o - 595.\nAnswer: -1188*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 >= -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -878678*k**3 + 161743*k**2?\nAnswer: -5272068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2230 by -1115.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 8. List the prime factors of v(26).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3 - 1. Let h be v(1). Suppose -p + h + 16 = -3*c, -c = -3*p + 17. Solve -4*y - 2 = 5*m, p*y = -3*m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4441 + 47 - 3020 - 8835)*(-4*c + 0*c + c).\nAnswer: 48747*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051002642 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 10. Let m = -5.2 + n. Let d = m - -1.2. Which is the second smallest value? (a) -0.04 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 + y + 2. Let m(g) = 27*g**2 + 375*g - 354. Let r(b) = 6*c(b) - m(b). Factor r(j).\nAnswer: 3*(j - 122)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 2?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence labw when four letters picked without replacement from {s: 7, w: 2, b: 7, a: 1, l: 3}.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 6*v + 4*v)*(7 + 6 - 4)*(-11 - 13 - 11) - v + 1 + 3*v + 0.\nAnswer: -628*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821727 is divided by 273892?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199382380 and 48260.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1287, 2603, 3905, 5193, 6467, 7727?\nAnswer: 8973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*p - 1358*p - 39479 - 104122 = 2034 for p.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 197*m - 49509. Calculate h(253).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -98. Let d(z) = z**3 - z**2 + 2*z - 3. Let f be d(2). Suppose -f*u = -l + 21. What is the highest common divisor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, 4, -0.4, -6313?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s**(-4\/5)*s)\/s*s)))**(-2\/71)*(s*s**0*s*s)**5 assuming s is positive.\nAnswer: s**(5313\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2737 and -29568.\nAnswer: -80927616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -11. Suppose y*i - 9 = -34. Let z be (5 - 13) + 2*2. Put z, 0, i in decreasing order.\nAnswer: 0, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**2 + 6*b**2 + 104 + 100 in the form i*b**2 + q*b + j and give j.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93817 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -55. Suppose -3*l = 5*b - 37 + w, 24 = 5*l + b. Find the third derivative of -591*z + 591*z + 34*z**l + 21*z**2 wrt z.\nAnswer: 816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.927363 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10)*9\/((-189)\/(-350)). Solve 5*v - r = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21693768 divided by 68.\nAnswer: -319026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12354, 17466, 22576, 27684?\n\"Answer: -y**2 + 5115*y + 7240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f - 333*f + 33 - 114*f - 215*f.\nAnswer: -570*f + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 12, 4 = 218*i - 216*i + 4*v for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + -22045?\nAnswer: -22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 11*q + 7. Let a(y) = 3*y**2 + 11*y + 6. Let t(z) = -3*a(z) + 4*w(z). Give t(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15.1. Let h = 9 - v. Let w = h - 4. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -401*z + 79 + 398*z + 146 in the form o + t*z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63305 and 11331595.\nAnswer: 11331595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 23 = -x. Let z be (690\/(-45))\/(6\/27). Let l = x - z. Let a(g) = -2*g + 1. Give a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/2)*z)**(-5))**(6\/13)*((z\/(z*(z**(-2)\/z)\/z)*z)**(-47))**(-38) assuming z is positive.\nAnswer: z**(116045\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 23 (b) -25 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j = -57*j - 32. Solve j*x = -9*x + 18*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -723, -1630, -2895, -4512?\nAnswer: -6475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*-1*sqrt(56) - -4*-2*sqrt(56)))\/(sqrt(200)*4 - -5*sqrt(200))*-1.\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 6. Let s be v\/105 - (-16)\/7. Put 3, 4, s in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293225 is divided by 258638?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5026746.\nAnswer: 2, 3, 37, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1307758.05 and 42.8?\nAnswer: 1307715.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 8*g - 2. Let u = 9 - 17. Let k be p(u). Is (k\/(-1) - -1) + 28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.64 * -5.\nAnswer: -38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*y**4 - 3*y**3 + 139*y**2 - 6.\nAnswer: 600*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95719360 and 2343?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eon when three letters picked without replacement from nnnwoenwwnnnnwn.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4336\/11 - -394. Which is the closest to 0.06? (a) k (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 47629 and 47535 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let x(k) be the second derivative of -2\/15*k**3 + 2\/15*k**4 - 2*k + 0*k**2 + g. Let x(c) = 0. What is c?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43774836 is divided by 1485.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221120 - -10012121?\nAnswer: 11011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54864 and 5544?\nAnswer: 4224528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1981, 14, 7 in ascending order.\nAnswer: 7, 14, 1981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + f - 1. Let j be c(5). Let u = 216 + j. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(3024) + sqrt(3024)*3)\/(sqrt(75) - (sqrt(75) + 3*sqrt(75)))*-5*5.\nAnswer: 245*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 268927 + -870427. Let b = 601498.369781 + j. Let l = b - -1.63. What is l rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2754.01 + -2754. Sort t, 8, 5\/3.\nAnswer: t, 5\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = -67. Let n be (3 + 114 + -2)*4\/10. Let a = n + 0. What is the remainder when a is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 19\/3 + -37\/6. Which is the smallest value? (a) v (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:35 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-5\/8)*c))**3*(c*c**(-10\/3)\/c)**(-11) assuming c is positive.\nAnswer: c**(925\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2201 or 2198?\nAnswer: 2201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89039975 to the nearest integer?\nAnswer: 9436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiddiaoaaia. What is prob of picking 1 i and 1 d?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.012 + -0.2. Let o = d - -0.14. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1137 and 7.\nAnswer: 7959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -44?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8997.\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 323*a**3 + 0*a**2 - 4 - a + 0*a**2.\nAnswer: -323*a**3 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.112981 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -62036170371 + 3\nAnswer: -62036170368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-50)\/10*45\/(-15))\/(6\/(-14))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/47)\/g)\/((g\/(g**(-2\/9)*g))\/g) assuming g is positive.\nAnswer: g**(-112\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -11*k + 204. Let x be (13\/4)\/(1\/4). Suppose -624 = -k*r + x*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1727 - 1166. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 289*i + 289*i - 20*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23 (b) 2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.36 - -4.28. Round n to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(0 - 1) + 76\/((-8664)\/1881)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9272 and 117.\nAnswer: -9155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3.8. Let m = 1.5 - d. Let g be 15\/(-100) - (-2)\/5. Which is the nearest to g? (a) 3\/2 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400 + 400 + 27*b**2 to s + c*b**2 + v*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20301 (base 6) to base 9.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from cocmcooqcccoocqccm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 - n - 12261*n**3 + 20*n**2 + 4*n**2.\nAnswer: -12261*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkdy when four letters picked without replacement from {k: 2, y: 13, d: 5}.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -4 (c) -0.082 (d) -5983 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*t, 3*u - 684 = 3*t - 168. Let z = -78 + u. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**4 + 5*v**3 - 5*v**2 + 5*v - 1. Let q(n) = 5*n**4 - 4*n**3 + 4*n**2 - 4*n. Let z(p) = 4*d(p) + 5*q(p). Differentiate z(s) wrt s.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 24. Let w(i) = 7*i**2 - 39*i + 34. Let h(n) = 11*n**2 - 59*n + 51. Let o(k) = 5*h(k) - 8*w(k). What are the prime factors of o(x)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.9971 + 3.9971. What is the nearest to -2\/29 in -2, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-278 - -247) + 2 + 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 3*g - 6*g)*(8 - 8 + 2*g) + 0*g**2 - g**2 - g**2 + (3*g - 3*g + 3*g)*(3*g - 2*g - 3*g) to a + d*g + v*g**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18856 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 11*v - 8 = -4*n, -3*n - 1 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 4 + 127)*(-13 + 6*j**3 + 0*j**3 + 7) in the form l*j**3 + h*j**2 + x + m*j and give l.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + 191*l**2 - 154*l + 350. What is a(-39)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 - (14 + -2 + -8 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/6 + y**2\/2 - 5*y + 6. Let c(l) = l**2 + l - 1. Give -2*c(z) - x(z).\nAnswer: -4*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*4\/16 + (-4)\/4. Let b = 5 - 2. Put 2, b, q in decreasing order.\nAnswer: b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 47, 70, 93, 116, 139?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 1 - 7*p + 3*p - 11*p**2 + p + 9*p**2 as t*p**3 + g*p + x + q*p**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 8*w = -5*n - 15*w + 35, n + 2*n + 5*w = -40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33168251 minus -0.37?\nAnswer: -33168250.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.062 or 0?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22*-137.5\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9180*r + 9164*r + 9174*r - 27519*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 39. Let s be k(-8). Let x(j) = 2*j - 17. Let g be x(s). Let u = -51\/5 - -10. Which is the closest to 1\/10? (a) -2 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*w - z, 2*w - 2*z = 10 + 6. Suppose 5*i + w = -9, -4*j + 2*i = -22. Suppose j*g = -g - 2*a + 18, 5*g + 2 = 3*a. Solve d = g*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6091471m to nanometers.\nAnswer: 609147100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 13024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 - 7*z - 2. Let f(v) = 4*v**2 - 2*v + 7. Let x(c) = -c + 1. Let a(b) = -f(b) + 6*x(b). Let s = 4 + -1. Give s*g(j) - 5*a(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 5*j + j)*(-4*j**3 - 8*j**2 + 8*j**2) to x*j**2 + g*j**4 + i + z*j + s*j**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-1\/11)\/a)))**(1\/46)\/(a*a**(-43)*a*a*a**(-4\/7)*a*a*a))**(7\/3) assuming a is positive.\nAnswer: a**(66497\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6963.741 + -0.961?\nAnswer: -6964.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -250*r**4\/9 - 7600*r**3\/3 - 9040*r**2\/3 - 10816*r\/9 - 160 = 0. What is r?\nAnswer: -90, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -17. Suppose -4*o + 4 = 3*s, -s + 4*s - u*o = 18. Suppose -3*r + 2*r - 71 = -s*m, -3*r = 3*m - 57. What is the remainder when m is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -415?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c014 (base 14) to base 13.\nAnswer: bbb5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n + 57*n + 30 = 0. Solve 3*m = 9, n*m - 19 + 1 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*k = -u + 10, -4 = -k - u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 110814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 17. Let z be ((-48)\/m)\/(42\/(-8)). Which is the third smallest value? (a) 1\/3 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e6f0b (base 16) to base 5\nAnswer: -1234334313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14214711*g**2*z**2 - g*z**2 - z**2 + 703754*z wrt g?\nAnswer: 28429422*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -12 (c) 106084 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291955.\nAnswer: 5, 7, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*m + 8. Let r be 794\/9 + m\/(-36). Suppose -3*f + r = i + 3*i, f = 3*i - 79. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 + 3 + 3*r + r**2 + 4. Let p be o(-4). Suppose 3*m - p = k, -m - 14 = 2*m + 5*k. Calculate the least common multiple of 7 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -458825, -917643, -1376459, -1835273, -2294085, -2752895?\n\"Answer: w**2 - 458821*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -38*c + 50. List the prime factors of h(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + 54230513?\nAnswer: 54231000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-5)\/30*23. Which is the closest to -0.1? (a) 5 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 6*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 + 2*j**5 - 6*j**5 - 2*j**5 + 2*j**5 + j**5 - j**5 + 0*j**4 + 0*j**4 + (-3 - j**3 + 3)*(3*j**2 - 2*j**2 + j**2).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:36 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9731168.56 and -0.4.\nAnswer: 9731168.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-70)\/28*((-6)\/20)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56981\/2 + -28485. Let d = 2.7 + -3. What is the biggest value in d, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4\/4 - 5*f**3\/3 + f**2\/2 - 2*f + 1. Let b = -21 - -26. Let d be t(b). Solve -d*c - 3 = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 10*s**2. Let d(n) = -5*n**3 - 11*n**2. Determine 5*d(j) - 6*u(j).\nAnswer: -j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 1\/8*j**4 + 3\/40*j**5 - 3\/40*j**6 + 3\/8*j**2 - 3\/8*j**3 + 7*j + 1\/56*j**7 + 0. Factor c(l).\nAnswer: 3*(l - 1)**4*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 14*o**2 - 122*o - 2529. Calculate v(-16).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - -100.5. Let m = 107 - w. Let i = -0.2 - 0.8. Is i not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52812 - 1976*j**2 + 52812.\nAnswer: -1976*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-7 + 17) - (-1 - -3 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7462 divided by 91\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3609 and 11665090?\nAnswer: 104985810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30396750 divided by 375\nAnswer: 81058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9055, -9040, -9025, -9010?\nAnswer: -8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -61?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 327 = -21. Let a = s - -24. Let n = 18 - -2. What is the remainder when a is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - t = -4*t - 27, -2*v + 4*t + 14 = 0. What is the remainder when (v\/(-3))\/((-1)\/6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxryxxyyxxto. Give prob of picking 1 l and 1 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.539 to one decimal place.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1179 rounded to two dps?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/20 - c**4 + c**3 + 8*c**2 - 14*c. Let m be j(14). Suppose t - 1138 = -3*o, 4*o = -4*t + m + 1028. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/6)\/2*-6. Let y = 1 + w. Let k = y + 0. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n - 1. Let s be v(-5). Factor 70 - 70 + 15*m**3 + 5*m**s + 10*m**2.\nAnswer: 5*m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -245213, -490180, -735147, -980114, -1225081, -1470048?\n\"Answer: -244967*a - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 113*b + 20. Let t be n(3). Is t\/((30\/25)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t = -2*p - 8, 2*p + 5*t = 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4504919 or 4504915?\nAnswer: 4504919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 37730\/8 - ((-24)\/(-240))\/(6\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262638997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 644766*s**3*t**3 - 4*s**3*t + 2*s**3 + 2*s**2 + s*t - 3*t**3 + 2*t**2 - 7300 wrt t?\nAnswer: 3868596*s**3*t - 18*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/15 + 56*r**3\/15 + 18*r**2\/5.\nAnswer: 2*r**2*(r + 1)*(r + 27)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*((-2)\/(-6) + 0))\/7 - 82\/(-182).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*j**2*n**2 + 11141*j**2*n - 930998*n**2 wrt j.\nAnswer: 140*j*n**2 + 22282*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 22*g**3\/3 + 11. Let y(q) be the first derivative of 15 + 1\/2*q**2 + 0*q. Determine w(y(b)).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -391, -407, -419, -421, -407, -371, -307?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1206683 * 1\nAnswer: -1206683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1276*m - 314*m - 482*m - 479*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 1 - -4) + -3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 35 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26201 divided by 17.\nAnswer: 26201\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -45, -63, -79, -93?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 16*d = -9*d + 32*d. Solve 4*z + 5*g - 2 = -d, 0 = 3*g - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 5, -3*p - 4*m + 515 = 0. Suppose 3*b = 5*c + 155, -2*c + 99 = 4*b - 73. What is the smallest common multiple of b and p?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pffs when four letters picked without replacement from {l: 2, a: 1, s: 1, x: 3, f: 5, p: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -0.08. Let y = 0.06 + t. Let d = y + -3.05. Which is the second biggest value? (a) d (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 16 - 16)*(2*q**3 + 2*q**3 - q**3) + (-2*q - 1 + 1)*(-3*q**3 + 24*q**2 - 24*q**2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 332*r + 1059. List the prime factors of w(69).\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 16, w: 3}. What is prob of picking 1 w and 1 m?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/3 - 2225656*o**2\/3 + 89021440*o\/3 - 296732800.\nAnswer: 4*(o - 556374)*(o - 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 64 - 37 = 4*o - 7 + 32, 5*o + 70 = 5*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-35))\/d)\/d**(-2\/103))\/((d*d**(12\/13)\/d)\/d)**(-2\/5) assuming d is positive.\nAnswer: d**(234249\/6695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-18)\/(-9))\/(-12)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1026 - -2295. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)\/sqrt(6) - (sqrt(14) - (sqrt(14) + sqrt(1134) + sqrt(1134)*1 + sqrt(14))))\/(sqrt(490)\/sqrt(5) - (sqrt(98)*1 - sqrt(2))).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let j(n) = -2*n**2 + 44*n - 1229. Give j(x(w)).\nAnswer: -8*w**2 + 88*w - 1229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 47. Suppose -q*k - 2 = -9. Solve n + 0*n = k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36059894?\nAnswer: 2, 13, 409, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b + 6. Let t be k(6). Suppose -10*f = -t - 46. What is the smallest common multiple of 3 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-78)*(-32)\/(-4)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (0 + (0 - -6)). Let a = -10 - p. Let g be (-6)\/(-4)*a\/(-6). Is g < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 9*x**2 - 11*x + 6. Let k be o(9). Suppose v = -2*j - 3*j + k, -2*j - 2*v + 256 = 0. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Solve 0 = t - s*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*l - 2*l. Let p be 3 + 8\/l*45\/(-21). Let f(n) = n**3 + 5*n**2 + 3*n - 5. Let k be f(-4). Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*f - 117*f = 6 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62490a75 - -3?\nAnswer: -62490a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9 - 9\/((-36)\/(-40)) - -6288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 137 - 154 = -173. What is the highest common factor of 4966 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/2 + 7212*a**3 + 16272135*a**2\/2 - 1294957125*a + 12128737500 = 0?\nAnswer: -2475, 10, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2379 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.62864889 to two decimal places.\nAnswer: 18.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + 4*j + 1. Let b(s) = 12*s**3 - 22*s**2 - 32*s - 8. Give -b(x) - 8*l(x).\nAnswer: -4*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 - 46*a**3 + 39*a**2 - 72*a**2 - 302*a**3.\nAnswer: -348*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1834)\/14)\/((-201)\/(-102) - 2). Suppose 5*f + 45 - 1163 = -z, t = 4*z + 2*f. List the prime factors of z.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -80. List the prime factors of (44\/(-6) - t)*-45.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:19 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9808 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -3035440?\nAnswer: 3035460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = o + 3, -3*o + 0*o - 4*f - 53 = 0. Let k = o + 26. Suppose 2*h = -k*h + 20. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 627 - 419. Let m = -9.063 - -8.963. Is m > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 496, -298, 3, -2?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3342 + -8482. Let w = -5153.019 - y. Let p = -13 - w. Round p to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 694, 2379, 5674, 11119, 19254, 30619, 45754?\n\"Answer: 90*i**3 - 5*i**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -75. Suppose -153 = -5*h + d, h - 4*d = -w*h + 147. Let g = h + -22. What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 738, -6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76\/5 of a meter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 - 12*n - 9. Let x be g(13). Suppose 2*k = x*k - 32. Calculate the smallest common multiple of 18 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 3. Let k be u(-2). Suppose -4*y = -3*y - k. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/2)\/3 + 334 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:28 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 5*k. Let x be (-2)\/k + (-39)\/(-4). Let l be x\/4*-1010*-40. What is l rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h*x**4 + 2*h*x**3 + 2*h*x**2 - 2*x**3 - 115*x**2 wrt x.\nAnswer: 360*h*x + 12*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*i - 18, -4*b + 3*i + 2*i = 9. Suppose 3*j + v + 4 = 0, 3*j + b*v + 12 = v. Suppose -2*r = f - 1857, -f + 3*f - r - 3739 = j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -0*j. Suppose -3*d + 125 = -g, g + j = -2. Find the common denominator of 97\/6 and (180\/28 - 6)\/(d\/14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let j = -11 + 8. Let b be (0 - 1)*1\/(-2). What is the second smallest value in b, j, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*l - 34, 3*v = 18*l - 7 - 44 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbuduzbbuv. Give prob of picking 1 b and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -50?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -25, -72, -251, -646, -1341?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13716 or 13747?\nAnswer: 13747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 355*i = 359*i + 24, 2*i = 2*g - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 4. Let n be p(-5). Let a(m) = -3*m + 2*m + n + 4. Suppose 0 = -7*r + 4*r + 15. What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = l - 249, -4*l - 194 = -2*i - 1316. What is the least common multiple of 90 and l?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-4))\/(8\/6*(-231)\/1232).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1497015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9031786?\nAnswer: 2, 4515893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001605021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*j + 481. Suppose -165*y - 21632 = -373*y. Is y bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*z - 510, 0*s - 5*s + 25 = 0. Let h = -124 - z. List the prime factors of h\/4 - 26\/(-104).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2.1, -0.5 in increasing order.\nAnswer: -5, -4, -0.5, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 602\/(-10) + 13 + -14. Let c = i - -61. Let j = 8\/15 + c. What is the biggest value in j, 2, 0.3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41818\/21 + 16\/(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 11715*v**2 - 23439*v - 11721.\nAnswer: 3*(v - 3907)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-4 - -2) + 43. Is 43 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 1 + 1)*(2*x + 0*x - x) - x + 2*x**2 + x + 3 - 3 + 5*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -3416948, 2\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:59 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 4*x + 0*x + 4*x + x - 4*x + (4 - 2 - 4)*(3*x + x - 3*x) + (2*x - 2*x - 2*x)*(3 - 1 - 3) + 5*x - 4*x + 0*x - 58*x - 362 + 362.\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-3 - 1)*1\/3*-3. Solve 4*z + 41 = -3*f + 28, x*z + 23 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -12 + 35 - 7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14 + 1)*(-4)\/(-8) and 79\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 13*f + 38 = 0. Suppose 14 = -3*g + 101. Suppose -4*q + 0*a + 2*a = -104, -q + f*a = -g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(16\/(-6) - -2). Suppose 9*y + 2*z + 58 = 4*y, 38 = -u*y - 2*z. Let h be 8\/y + (-14)\/(-35). What is the third smallest value in h, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3651, 3667, 3695, 3741, 3811?\n\"Answer: k**3 + 9*k + 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5 + 103*k - 192*k + 91*k. Let v(s) = s - 1. Let g be 20\/6*(-9)\/6. What is g*v(b) - u(b)?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -368 + 397. Let z(u) = -72 - 180*u + 252*u - 333*u**3 - 43*u**2 - v*u**2. Let a(s) = -23*s**3 - 5*s**2 + 5*s - 5. Calculate 72*a(n) - 5*z(n).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 481\nAnswer: -9\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 7:24 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 3682 = -3357 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 914a (base 13) in base 12?\nAnswer: b6b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*(-18)\/(-240)*-4*-7\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 38007827.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/2450 and 53\/196?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55864210 is divided by 18621400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/526 in 13, 5\/2, 6\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/(-12 + 13)*1. Calculate the least common multiple of 72 and (2\/4)\/w*-64.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3 and 53\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 - 7*m. What is the remainder when 35 is divided by r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1625? (a) 2\/205 (b) -0.08 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-14) + -1)*2160\/(-2100). Let k = 4021\/392 + u. Calculate the common denominator of -99\/20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 54*p - 108. What is v(56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50681.1g to kilograms.\nAnswer: 50.6811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880 = -80068*u + 80112*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + 3. Suppose -k*r - 8 + 38 = 0. Solve 2*z + r = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5 - (-33 - (-57 + 22))) + 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - r - 236 = -0*i, 4*r - 256 = -5*i. Let f(w) = w**2 - 16*w - 669. Let m be f(36). Are i and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 equal to 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1*(46\/4 - 3). Let u = -2 - 13. Let d = u + l. Solve 0 = -d*y - 2 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 120 + 58 - 2162779*i.\nAnswer: -2162779*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 62 - 49 + 64)*(-1 + 1 + 2*v) + 1 - 4*v - 1 as t + d*v and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1117756 * 0.01.\nAnswer: 11177.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - r - 24. Let t be i(0). Suppose -5*g - 116 = -536. Let m = g + t. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + 3*y**2 - y + 1. Let m be z(2). Suppose 23 = 3*n - m. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 15. Suppose -2*x + 6 = 4*g - 2*g, -15 = 2*g - 5*x. Suppose 5*d = g, -d = -0*m + 3*m + 3. Put -2, r, m in ascending order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8707182 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -1.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 2*q**2 + 4*q + 1. What is v(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34292039.\nAnswer: 59, 359, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68174, 272695, 613564, 1090781, 1704346, 2454259?\nAnswer: 3340520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:29 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -155554050 at least -155554051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/224 and 26\/77.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11*i - 43362 = 0, 5*w + 2*i - 72270 = -3*i. What are the prime factors of w?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/72)\/(40\/32)*-2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 i when three letters picked without replacement from rrrrrirrrrrir.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3047 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30908?\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*h**5 - 9270*h**3 + 31171183*h wrt h?\nAnswer: -240*h**3 - 55620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, -115, -91, -37, 59, 209, 425?\n\"Answer: 2*t**3 - 3*t**2 + t - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 39*u**2 - 1160*u + 3364\/3.\nAnswer: -(u - 58)**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/13, 3, -2, 0.53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 2*w**2 + 2*w + 7808549. Let i be n(0). Suppose -5*k = 2*h + i + 1011436, 5*k = -5*h - 22049985. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*-1*-2)\/(sqrt(576) - sqrt(576)*-1 - sqrt(4)))\/((sqrt(80)*-3*-1)\/((-2*sqrt(10) + sqrt(10))*-6)).\nAnswer: 4*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 84. Let z(u) = u**3 + 12*u**2 + 22*u - 10. Let w = -1330 + 1322. Let q be z(w). What is the greatest common factor of d and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -18249.\nAnswer: -1\/6083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 86585.9652 microseconds?\nAnswer: 0.000000143164625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1898 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:07 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 0*b**2 + 4*b**2 + 3*b**2 - 14 in the form q*b + u + v*b**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 - 7*a + 25. Let d be w(5). Let c = d - -168. Let n(x) = 29*x - 1. Let h be n(1). Solve h - c = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82956 - 36383. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let n(p) = 4*p + 23. Suppose -21*g - 5 = 79. Let y(r) = -2*r - 10. Let j(x) = g*n(x) - 7*y(x). Calculate j(v(t)).\nAnswer: 4*t**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193514 is divided by 1590.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 26*g + 118. List the prime factors of f(38).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001168 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 18 - 18)*(13*b + 10*b - 18*b) to m*b**2 + v + w*b and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**3 - 2*w**2 + 1. Let k be i(1). Let g = 113 - 110. Solve g = 5*o + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 + 2*a**5 - a**5 + (-2*a**2 + 0*a**2 + a**2 + (-2 + 2*a + 2)*(-a - 4 + 4))*(-23 + a**3 - 3*a**2 + 23).\nAnswer: -8*a**5 + 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let i(x) = 2*x**3 - 2*x**2 + 6*x. Let l be i(p). Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*p = 2*j - 22191, -11113 = -2*j - p. List the prime factors of j.\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 30.4?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 34. Suppose -s - 181 = -4*y, y - 48 + 8 = -z*s. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i**3 + i - i)*(3 + 1 - 1) + 708*i**3 + 1031*i**3 - 1281*i**3)*(6 - i**2 - 5 - 3).\nAnswer: -455*i**5 - 910*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 25*c = 90 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 14 + (-5 - 4) + 26.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9972, 78026, 262242, 620700, 1211480, 2092662, 3322326?\n\"Answer: 9680*f**3 + f**2 + 291*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000122144696 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3068 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - b + 15, -3*t = -t + 2*b - 14. What is the third derivative of -14*p**5 + 13*p**t + 14*p**5 + 30*p**5 - 48*p**2 wrt p?\nAnswer: 1800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -136*t**3. Let l(s) = -106*s**3 - s**2 + 201*s**3 - 112*s**3 + s**2. What is 34*l(w) - 4*m(w)?\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o + 459*o = -4236 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -158*s + 162*s. Suppose s = -o + 135. What are the prime factors of o?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*q + 1567 - 131*q - 333*q + 390 - 128*q wrt q.\nAnswer: -673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(3888)*3 + sqrt(3888) + 5 + (sqrt(3888) - (sqrt(3888) + 2*sqrt(3888))))**2.\nAnswer: -432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*p + 2*p = -12, o + 5*p = 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-36)\/(-6))\/3)*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 25 = 1467. What are the prime factors of a?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 1 c when three letters picked without replacement from iiiihiiimiieceeieil.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1138*t**4 - t - 1354 wrt t?\nAnswer: 13656*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 975743 times -50\nAnswer: -48787150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-8*(-10)\/126560) a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 + 6*i - 12. Let p(g) = 6*g**2 + 7*g - 14. Let c(j) = -7*k(j) + 6*p(j). Let z(b) = 85*b**2 - 2*b. Give z(c(l)).\nAnswer: 85*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.361 - -0.024\nAnswer: -2.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfcv when four letters picked without replacement from vlifcclllclvivil.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 8:45 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -46. Suppose -4*t = -218 + j. What is the remainder when 6\/(t\/(-27) + 2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -332112, 2, -15, 5, -1 in descending order.\nAnswer: 5, 2, -1, -2, -15, -332112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (19584\/(-960))\/(12\/(-30))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14146787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 117 - 36. Let t(p) = -3*p - 8 + 5*p - p + w. Determine t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.77 rounded to 0 dps?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1853 (base 11) in base 4?\nAnswer: -210311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18 + 14 - 30 + 3*y**2 + 5*y. Let i be n(-3). Suppose -4*w + i = -106. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfseefufsueesee. What is prob of sequence mf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118825 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(16 - 10*r**2 - 16).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 3*m**2 + 4*m**2)*(9*m - m**2 - 9*m) - 2*m**4 + 3*m**4 - 2*m**4 + (-3 + 3 + 8*m**4)*(1 - 1 + 1).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*j = 601*j - 460. Solve 4*n + r + 44 - 23 = 0, j = -4*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -40. Suppose p - q = -p. Suppose 15 = -3*j + p*j. What is the least common multiple of 5 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 14, y: 1}. What is prob of picking 1 o and 1 d?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/4 - 13*k\/4 - 3 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 4. What is the remainder when 1 - (-1 + (-24 - 3)) is divided by (10\/i)\/(1\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46430*u**2 - 6910 wrt u.\nAnswer: -92860*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 34 = -5*h - 6*c, 5*h = 2*c + 22. Suppose 3*o - h = -0*o. Solve 1 = o*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -34. Let g be k\/20 - 574\/(-8). Let b be -12*(15\/(-2))\/5. Calculate the greatest common divisor of b and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24715.18 and -0.08?\nAnswer: -1977.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/2 + 2*a**2 + 2*a. Let g(h) = -1. Let j(b) = -3*g(b) - v(b). Differentiate j(s) with respect to s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6 - 0. Suppose s + 17 = 3*w + 2*s, -2*w = -4*s + 12. Suppose -2*c = -w*c + 4. Solve t - 2 = c*j, 4*t - 4*j - 1 = -a*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*j*l*r - 2518*j*l - 3*j*r**4 + 3*j*r**2 - 54*j*r - 193012*l*r**2 wrt r.\nAnswer: -36*j*r**2 + 6*j - 386024*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etee when four letters picked without replacement from eteettee?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 358*p + 340*p - 698*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - 0.05. Let k = 6 - 3. Which is the nearest to u? (a) 3\/2 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 11 = -3*m, j + m + 3 = -0*j. Let s(a) = 5*a + 1. Let p(b) = -b. Let d(v) = -2*p(v) - s(v). Give d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*b - 3*b - 65, 5*s = -3*b + 209. Let j = -38 + s. Solve j*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 309122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576*b - 576*b + 15*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2566526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6\/25 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -14 - 10) + 7. Solve 2*o = -3*g - 12, 4*o + k*g + 16 = -2*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (-2 + 4) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/18*63\/(-14) + -175. Let g = 175 + n. Solve g*m + 3*w = 3*m - 17, 40 = 4*m - 5*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584684*a + 584570*a = 4446 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 72\/5 of a micrometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 121, 10, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31*f + 67*f**2 - 26*f**2 + f**3 + 16 - 34*f**2. Let m be z(-10). What is the greatest common divisor of 234 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -39. Suppose -y + 3*w = 7*w - 5, -5*w = -c*y - 16. Let o(v) = 3*v**2 + 4*v + 4. Give o(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 2*g**3 - 2*g**3 + (2 + 2*g - 2)*(0*g**2 + 2*g**2 - g**2) - 6*g**3 + g**3 - g**3 + g**3 + 9*g**3 + 0*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -2, 13666, 1 in decreasing order.\nAnswer: 13666, 11, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149898 and 73787?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 320021321 (base 4) to base 11\nAnswer: 14789a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 190 = 7*y. Let v = y + 43. What is the greatest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*z + 11954 - 11954 - 3*z + 3*z + 2*z + (5 - 4 + 1)*(4*z - 2*z + 0*z) - z + 4*z - 4*z + 2*z + 2*z - 2*z.\nAnswer: -97*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417 - -420 - (0 + -54) - 16.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73\/3 + 24. Let i(p) = p + 11. Let x be i(-6). Which is the second biggest value? (a) -2 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Suppose 5*i - 16 = -4*o, -t*o + 11 = -i - 5. Suppose i = -2*k - 4, 0 = 4*h - 2*k + 8. Which is the third smallest value? (a) 2\/15 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066.757 minutes in seconds?\nAnswer: 364005.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387470080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48368 - 24952. List the prime factors of m.\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*k**4 - 4)*(-k + 11 - 11 - 3 + 3*k + 3 + (3 + 3 - 4)*(k - k + k) - 4*k + 4*k + 2*k).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3636709705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 565907*h**2 - 12006233.\nAnswer: 1131814*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-24505)*435)\/(6\/(-78))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19413628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**7\/1260 + j**5\/360 + 7*j**2\/2 - 1. Let t(o) be the second derivative of q(o). Find i, given that t(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487147512?\nAnswer: 2, 3, 17, 1193989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -62*r**2 - 11*r - 520. Let l(p) = 34*p**2 + 6*p + 261. Determine -11*l(o) - 6*s(o).\nAnswer: -2*o**2 + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7643 + -2005. Suppose 1993 = -9*w + x. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6507*p - 11615*p = 7946*p - 1292346 for p.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -9*c**2\/2 + 16. Let m(z) = 24*z - 4*z - 23*z**2 - 20*z + 5*z**2. Calculate n(m(b)).\nAnswer: 162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63*152\/(-5586))\/(2*(-2)\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 11*l. Let r be s(-5). Suppose r = -5*b + 9*b. Suppose -8*f = -4*f - 32. What is the remainder when f is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3\/4 (c) -5 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + j**3 - j**3 + (-4*j + 2*j + 0*j)*(-2*j**2 + j**2 + 3*j**2) - j - 2*j**3 + j + 7*j**2 - 7*j**2 + 7*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2873, -2886, -2917, -2972, -3057, -3178?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 18. Let z be (-20)\/8*t*1. Let x = z + 28. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 + 2*q - 6. Let g be t(-3). Let v be 54\/(-4)*-4*g\/36. Solve -15 = 4*p - v*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-170)\/10 + (-900)\/(-54). Which is the closest to -2? (a) o (b) -1\/5 (c) -189 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2815901 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 2*q = -12, -3*m = q - 11. Suppose -2*y = -m*l + 105, 4*l + l + 3*y = 80. Suppose -4*z + l + 21 = 0. Solve b - z = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9102019 divided by -397.\nAnswer: 22927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**3 + 13*a**2 + 3*a + 14. Is r(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {i: 3, w: 4, u: 1, j: 1, c: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 336 + 463*b**3.\nAnswer: 463*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 - 7*f**4\/12 + 5*f**3\/3 - 3*f**2 + 2*f - 2. What is w(-8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 + 13.19. Let m = n - 8. What is the smallest value in -4, m, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-613720)\/(-440) + 4\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 0 - 5)*(-3)\/2. Let u be -2*(-10 + n) + (1 - -1). Let j = -24 + u. Solve 0 = l - 1, 2*l = 4*m + 4 + j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845147863 a multiple of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122681395*x**2 - 3936488*x - 1 wrt x.\nAnswer: 245362790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 11*s + 28. Let v(n) = -2*n**2 + 7*n + 19. Let d(c) = -7*i(c) + 10*v(c). Let g(u) = -u**2 + u - 1. Calculate d(q) - 4*g(q).\nAnswer: -2*q**2 - 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1365)\/1274 + 8\/14\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o. Let p(q) = 82*q - 12. Let c(u) be the second derivative of -11*u**3\/2 + 5*u**2\/2 + 2*u + 32. Let w(f) = 12*c(f) + 5*p(f). Calculate m(w(d)).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495292 is divided by 483?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.111 and 0.24?\nAnswer: 0.02664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 2 - 1 + 2 + 2 + 0 - 5 + 4 + (0 + 0 - 1)*(2 - 1 - 3))*(7*y + 2*y - 5*y).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.42 + 1.32. What is the smallest value in -1, 1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 47, -3\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 43*13712\nAnswer: 589616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(30\/27))\/((-36)\/720*-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.55 + 2.55. Sort a, -2\/7, -2\/165, -5 in descending order.\nAnswer: a, -2\/165, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 25*q + 33. List the prime factors of o(-28).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -9, -2.64, -4, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6305, -12612, -18917, -25220, -31521?\n\"Answer: t**2 - 6310*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11 - 7 + 10*u)*((0 + 3 - 5)*(-5 + 2 + 2) + 0 - 2 - 2).\nAnswer: -20*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1110 and -127\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 14) to base 3\nAnswer: -101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 162426*n + 169431*n - 323595*n as d + r*n and give r.\nAnswer: 8262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10065045 is divided by 234.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 - 14*x**2 + 4*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Let g be (3\/(-2) - -3)*2. Suppose 0 = -5*x + g*n + 9, 13 + 10 = 5*x + 4*n. Let w(p) = -x*p - p + p. Determine y(w(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/(-3 - -15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**5\/660 + f**3\/66 - 29*f**2\/2 + 13. Let r(g) be the second derivative of i(g). Determine c so that r(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50999 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5858\/2 + (-16)\/(-4). Let t = -1676 + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*-3 - -5. Let i = 38 + -76. Let w = 35 + i. Which is the fourth biggest value? (a) -3\/4 (b) -2\/11 (c) w (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Suppose -o*c - 2*n - 10 = c, 7 = -4*c - 3*n. Let f be (c\/6)\/((-1)\/156). What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8871?\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442021020 - -14?\nAnswer: -442021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 353, 2\/7, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 + 23*k**5\/30 + 11*k**4\/3 + 5263*k**2. Suppose y(n) = 0. What is n?\nAnswer: -44, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*d - 4*k - 27, -3*k + 79 = 4*d. Let q = -19 + d. Solve -5*g + 4 = 2*f - q*g, -4*f + 3*g = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 9*k**2 - 13*k - 3. Let x be w(7). Solve x*p + 17 = q, 0*q = 2*p + 3*q + 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4575*n - 24703 - 312106 = 116116 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 15) to base 12\nAnswer: -25540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14315525 by 2863105.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 553723*g*q - 2180861*g with respect to q.\nAnswer: 553723*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6550 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4217?\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let y = 0.599 + -0.069. Let i = y - 0.33. Which is the closest to -2\/7? (a) -1\/2 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476927*m**2*r**3 - 1298*m**2*r - 3*m**2 + m*r**3 - 5*r**3 - 133*r wrt r.\nAnswer: 2861562*m**2*r + 6*m*r - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/7 - 8874*v**2 + 126815232*v\/7 + 18125336 = 0. Calculate v.\nAnswer: -1, 2198, 28862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26365325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9351\/625 or 15?\nAnswer: 9351\/625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.1 (b) 2.2 (c) 4 (d) -124 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 97 = -3*w - 0*a, 2*a + 8 = 0. Suppose -w = -3*t + 45. Calculate the greatest common divisor of 48 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008825 rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6111, -9358, -12607, -15858, -19111, -22366, -25623?\n\"Answer: -r**2 - 3244*r - 2866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/227, -4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 + 7*k + 12. Let j be a(7). Let l be 3*(15\/18)\/(15\/j). Solve -l*r + 4*t = 3*t + 4, 0 = r + 3*t - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4 - -2)*-45. Let x = a - -16. What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289021 divided by 25.\nAnswer: 289021\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.154612 centuries to decades.\nAnswer: 31.54612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 - -2*1). Suppose -4*l = -6 - y. Suppose 2*r - l*u - 11 = u, 5*u = -3*r + 7. Solve -4 = -4*g, -r*g - 2 = -0*m + 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*w - 4*k**3 - 121*k**2*w - 694*k**2 + 2*k*w + 2 with respect to w.\nAnswer: 2*k**3 - 121*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39510.\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f**2 - f + (4 + 0 - 2)*(f - f - 2*f**2))*(1 - 4 - 2)*(26 + 5*f + 4*f - 6*f).\nAnswer: 30*f**3 + 275*f**2 + 130*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6727, -6838, -6949?\nAnswer: -7060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 7)*(-2*u**5 + 2*u**5 + u**5).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by 74\nAnswer: -149\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/18242973 and -131\/7812.\nAnswer: 72971892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550 + -548. Find the third derivative of -3093*i**4 + 1 + 3219*i**4 - 1 - 111*i**c wrt i.\nAnswer: 3024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -137 (b) 2\/3 (c) -41 (d) -2\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let h(a) = -10*a. Let k(q) be the first derivative of 13 + 0*q + 3\/2*q**2. Let r(i) = -4*h(i) - 14*k(i). Give f(r(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10727.724 months to years.\nAnswer: 893.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.2 + -43.166. Round b to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 156 = 352. What are the prime factors of r?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 - 54782*a**3\/3 - 1244998*a**2\/3 + 579706*a - 146448 = 0.\nAnswer: -24, 1\/3, 1, 9153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 5*j + 3*y, -4*y = -2*j. Suppose -5*g - 2 = 2*u, 4*g + 20 = j*u + u. Sort 3\/2, g, -1, 54 in descending order.\nAnswer: 54, 3\/2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g + 3. Suppose -b - 5*a + 1 = 2*b, -b - 2*a = g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136970454 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 13*y = -4. Let i be y*-3*(-28)\/(-21). Let a be -6*(2 + i\/3). Solve -a*p + 4 + 0 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvyp when four letters picked without replacement from ccyccyqcucqpcvpccccc?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/10 + (-517983)\/(-345)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1*2*(-8)\/8. Let s be (45\/10)\/(-1*t)*-2. Solve -2*g - 2*w = 5 + 9, s*g - 5*w = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**14\/(k**(-6)*k**(2\/3)))**(-5\/2) assuming k is positive.\nAnswer: k**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337079, -674156, -1011233, -1348310, -1685387, -2022464?\nAnswer: -2359541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 16) + 5 - 14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 102872642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -4 - (-3 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*c + 2*w = -486*c - 799, -2357 = -3*c - 4*w. Calculate the highest common divisor of c and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1. Suppose -4*b - 9 = 5*p, 94*b = 97*b - p + 2. Let o(d) = -3*d + 4. Determine b*o(l) - 4*f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5542 divided by -1?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 45*u**2 + u - 190. Give k(-45).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7534352 = 5*c + 9319362, -2*v + 5*c + 8426852 = 0. Let m be 2\/(-4) - v\/26190. Let g = 807\/5 + m. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u**3 + 19*u**2 + 8*u - 20. Let k(d) = -d**3 - 2*d**2 + d + 1. Let n(o) = -c(o) + 2*k(o). What is the second derivative of n(w) wrt w?\nAnswer: 72*w - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 8, 1332 = -5*o - 2*v - 1052. Let b be 15 + -9 + 1*729. Let w = b + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3727 + 3727.3. Which is the fourth smallest value? (a) -0.4 (b) 21 (c) 0 (d) q (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 29*i - 6 = 30*i, -6*s - 29 = -i. Sort 0, 2, 4, 3, s.\nAnswer: s, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245\/81 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8652*r*w - 2391*w wrt r.\nAnswer: 8652*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let f(y) = 5860*y**2. Give o(f(w)).\nAnswer: 5860*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -6 + -1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/1378?\nAnswer: -3\/1378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:58 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -4*p**3\/3 - 16*p**2 + 4969*p. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 100*l**3 + 1540*l**2 + 11760*l.\nAnswer: -5*l*(l - 14)*(l + 6)*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1337\/2 - -670. Is j < 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29062 + -11363. Is v a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 7*n**5\/30 - 5*n**4\/12 + 2*n**3\/3 - 51*n**2. Let c be w(2). What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(72)\/(-2*sqrt(9))) - 2*3*(sqrt(7) + 1).\nAnswer: -8*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 - 133143*n - 43*n**4 + 2*n**3 + 11*n**5 + 133147*n + 12*n**4 - 224*n**2 wrt n.\nAnswer: 720*n**2 - 744*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13512 + 13548. What is the greatest common factor of u and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101001 + 100100111?\nAnswer: 1111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*q + 692*q - 79*u + 391 = 346*q, -q - 6 = -2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 + 64510*z**2 + 387052*z\/3 = 0. Calculate z.\nAnswer: -96763, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4*-1)\/((-18)\/(-216)). Solve -j + c*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + sqrt(1300) + 0 + sqrt(1300) + 2 + 4)*-3)**2 + -1.\nAnswer: 360*sqrt(13) + 46808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -42. Let g = c - -25. Let q = 7 - 5. What is the nearest to g in q, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62914?\nAnswer: 2, 83, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (18\/(-45) - (-18)\/(-5)). Solve o = -5*i + 20 - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -6 (c) -1\/9 (d) -0.6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33282 - 33276. Solve w = -k*w + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3701316 or 3701335?\nAnswer: 3701335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q - 75*q = -6*f + 234, -q + 198 = 5*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0015 + 1. What is o rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22027 (base 9) in base 11?\nAnswer: aa78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 2*p**2 + 2*p**2 + (-p - 3*p + 2*p)*(0 + 1 - 283*p + 286*p) as x*p**2 + v + g*p and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(720) - sqrt(20) - sqrt(20) - -1*sqrt(1620)))\/(6*sqrt(16) - ((sqrt(16) - sqrt(4)) + sqrt(4))*2).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**2 - 7*c**2 - 15*c**3 + 9*c**2 wrt c?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.16037 - -0.16037. Put 3, 2\/35, -2\/5, 0.4, c in descending order.\nAnswer: 3, 0.4, 2\/35, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4930 is divided by 130.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*o - 48, -88 = -6*u + u - 2*o. Suppose -5*d - x = -u, -4*d + 4*x - x = -9. What is the smallest common multiple of d and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4514802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17816 and 24565.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-1))\/(1\/1). Suppose 8*g - 436 = 6*g. Suppose -2*z + 4 = -i, 0 = z + 3*i + 209 - g. Solve -z*b - 15 = -k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2084 divided by 4?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -223 - 2*k + 3*k + 218. Let t be w(5). Suppose 3*d + 5*p - 461 = t, 2*d + 3*d = -4*p + 751. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/7 - 232\/105. Which is the third smallest value? (a) 0 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 - 4*p - 3. Determine h(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**3 - 61*p**3 + p + 21*p**3 + 20*p**3 + 5 + 89*p**2.\nAnswer: -5*p**3 + 89*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -6, 2, -7, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315813, -2526421, -8526627, -20211231, -39475033, -68212833, -108319431?\nAnswer: -161689627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0.02440069.\nAnswer: 5.02440069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/g**(-1))\/(g*g*g**(-9)*g))\/((g\/(g**12\/g))\/g*g\/(g**(-6\/5)*g*g*g)*g))**(-28) assuming g is positive.\nAnswer: g**(-2912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -28653267 and -28653267 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/2 + 5*x\/2 - 15.\nAnswer: 5*(x - 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*z**2 + 159*z**2 - 54*z**2 + 3*z - 54 + 2*z**4 as o*z**2 + n + x*z**4 + a*z + t*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 < 32633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131358?\nAnswer: 2, 3, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (2 + -31 + 24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j = 110*j + 468 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:38 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/2232*-9*(-8)\/(-14).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117.199 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*q + o, -4*q - 5*o = -46 - 26. Let b = 9 - q. Put -3\/5, b, -0.3 in decreasing order.\nAnswer: -0.3, -3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = -28*j + 32*j - 108, 34 = 2*j + 4*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110211211 (base 4) in base 15?\nAnswer: 19eba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 - 340*u**3 + 7276*u**2 - 42780*u - 50400 = 0. What is u?\nAnswer: -1, 15, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38*0.046\nAnswer: 1.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10\/(170\/(-153))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4455)\/(-1330) + (8\/7)\/(-125 - -127) - 4?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -754. What is the common denominator of (3\/(-4))\/(135\/m) and -71\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4\/11, -111, -5 in increasing order.\nAnswer: -111, -8, -5, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 (base 7) in base 6?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763736.\nAnswer: 2, 29, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -32.10869?\nAnswer: 32.10869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p + 15. Determine b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5 - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gsgs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149281570 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18065, -5\/3, 2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -n - 35. Solve n*h - 5*h = -6, -5*j - 2*h = 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*w - 37*w + 30. Calculate the greatest common divisor of 20 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 3*w)*(-3*w + 2 - 2)*(1 - 4 + 2) + (0 + 0 - w)*(4*w - 5*w + 3*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h. Let q(t) = -32*t**3 - 6*t. Give -6*g(f) - q(f).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 5*j - 23. Let z be 558\/27*15*2. Suppose 5*v + 3*d - 628 = -0*d, -z = -5*v - 5*d. Calculate the highest common divisor of v and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**8\/840 + n**5\/120 + 2*n**3\/3 - 2*n**2. Let h(g) be the first derivative of s(g). Find the second derivative of h(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1566402750 to the nearest 100000.\nAnswer: -1566400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489315637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 468 + -452. Suppose -2*p + 360 = z*p. Which is greater: p or 141\/7?\nAnswer: 141\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 - 60*a - 71. What is d(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3648 and 37088.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b - 7. Let a(v) = -2*v**2 + 2*v + 14. Let m(g) = -4*a(g) - 7*x(g). What are the prime factors of m(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 41.1. Which is the closest to n? (a) -0.3 (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -25.36?\nAnswer: 1.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -807073.924 and -23320?\nAnswer: 783753.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t + 20 = -2*a, 0 = -2*t - 8. Let l = -2 - a. Calculate the lowest common multiple of (-23)\/(-3) + 2\/(-3) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**5\/2 - 7*z**4\/2 - 5*z**3\/2 - z**2\/2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10565 and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(0\/(-1) + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18.4. Let j = 2012\/5 - 404. What is the closest to j in -0.2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let t = r - -2. Let k = -39 + 43. What is the highest common divisor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 63020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(23 + 1032\/(-45) + 34\/(-210)). What is the greatest common factor of 37716 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(789*o - 401*o - 526*o) as x*o + r and give x.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5*q - 4*c**4*q + 6*c**4 + c**2*q - 244*q wrt c.\nAnswer: 60*c**2*q - 96*c*q + 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 0*o + o**4 + o**4 + 3 - o - 3*o in the form g*o**3 + c*o + j*o**2 + f*o**4 + k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27127069.\nAnswer: 27127069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199825037.59999986 - 199825035. Let s = u - 2.6. Round s to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2) + (-42)\/7. Let j = v - -10. Let y be (-292)\/60 + (-18)\/135. Sort -2, 25, j, y in descending order.\nAnswer: 25, j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1953533, 1953579, 1953625, 1953671?\n\"Answer: 46*q + 1953487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 - 6*m - 3. Let q(x) = -11*x**2 + 11*x + 5. Let a = -53 - -49. Give a*q(t) - 7*o(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/12 - x**3 - x**2. Let u be n(5). Suppose -82 = -u*l + 3*o, -3*o + 32 = l + l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/6, 0.02, 46 in increasing order.\nAnswer: -5, 0.02, 1\/6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + i)*(-3*i**2 + 6*i**2 - 4*i**2)*(-i + 4*i - 5*i)*(12 - 4 + 4) to the form d + y*i**3 + a*i + t*i**4 + q*i**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 6\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*n + 29 - 1786, 0 = -2*l + 5*n + 1153. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 43, 64, 85, 106, 127?\n\"Answer: 21*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.71305 + 13.689. Does -0.1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**4 + 6*a**3 - 27456*a + 23949896?\nAnswer: 12*a**3 + 18*a**2 - 27456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 15)*(-3*n**5 - n**5 - 2*n**5).\nAnswer: 72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j + 57. Let n be (((-6052)\/16)\/(-17))\/(2\/16). Suppose -n*o + 176*o = 12. Let u be r(o). Are -3 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxoxxox. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1313378704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737 = -9*b + 791 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeriirpeixieeei. What is prob of picking 1 i and 2 r?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.552827 centuries?\nAnswer: 355.2827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 j when three letters picked without replacement from bcbbuucjbcbbuucbju.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 99*t**2. Let l(j) = 1563429*j. What is l(p(d))?\nAnswer: 154779471*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 2*q + 1. Let f be t(-1). Let j(h) = -1021*h + 269543. Let o be j(264). What is the nearest to 1 in 2, f, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -35?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 (base 6) in base 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -76. What is the second derivative of x*p - 3 - 15*p**2 + 12*p - 37*p wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.855 and -4.\nAnswer: 7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 26212*z - 26209*z - 24, -2*z = -3*q - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 18*p - 37. Let x be h(-15). Let t(z) = -z + 14. Let i be t(x). Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*m**3 + 87*m**3 + 266*m**3 + (-1 + 1 + 2*m)*(3*m**2 - 5*m**2 + 0*m**2))*(-3 + 3*m + 3).\nAnswer: 891*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 18*u\/5 - 56.\nAnswer: (u - 28)*(u + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 598791 and 15045.\nAnswer: 2993955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016293 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -257?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose q = -i, -4*t - 4*i + 65 + 79 = 0. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7501*d**2 + d - 2. Let x(m) = 13*m. Determine x(b(a)).\nAnswer: 97513*a**2 + 13*a - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 9*m = 48. Differentiate -1132*o**m + 1168*o**3 + 0 - 22 wrt o.\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 12. Let o(j) = 4*j + 6. Let p(s) = 5*o(s) + 3*x(s). Calculate p(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -394? (a) 4\/7 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486176696?\nAnswer: 2, 439, 138433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g. Let m(x) = -x**3 + x**2 - x + 13. What are the prime factors of m(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81335, -7, -2\/11, -4 in decreasing order.\nAnswer: 81335, -2\/11, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 9*u + 10 = 0. Let d(q) = 1331 - 1331 - u*q. Let p(b) be the third derivative of -b**5\/30 - b**2. What is d(p(j))?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120408 (base 9) in base 8?\nAnswer: 20375277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 7. Let c(z) = -5*z - 7 + z - 5*z + 4*z. Let i be (5\/15 - 1)*9*1. Let v(l) = i*c(l) + 7*w(l). What is v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + s - 8*s**3 - 7*s**3 + 2*s.\nAnswer: -15*s**3 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 13*f**2 - 99*f - 1054. What is r(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -190, -470, -864, -1372, -1994?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:02 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -11*p**2 + 0*p - 1\/90*p**6 - 1\/2*p**3 + 1\/3*p**4 - 1\/30*p**5 + 0. Let h(a) be the first derivative of f(a). Factor h(s).\nAnswer: -4*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 15. Let d be 25\/50 + (-258)\/o. What are the prime factors of (-6 - -2 - 0) + d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 1\/8, -4, 4, 9.35?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.4 + -78.2. What is the closest to -1.8 in -4, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2775.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u - 1. Suppose -24*y - 46 = -y. What is t(y)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.4721 rounded to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6)*(-4 - 2). Suppose h*o - o = 0. Let m be o + 5\/((-15)\/(-6)). Solve m*a = -2*j - 3*a + 15, -6 = -j - 2*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*d + 11, -30*f + 23 = -5*d - 34*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(((sqrt(832) - (sqrt(832) - sqrt(832)*1)) + sqrt(832))*4)**2 + (2*sqrt(208) - sqrt(208))**2 + sqrt(13) + sqrt(52)\/sqrt(36) + -1).\nAnswer: -532894 - 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*p - 2*p**2 - 12 + 76*p - 229*p + 68*p with respect to p.\nAnswer: -4*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + 138 - 138 + (-1 - 1 + 5)*(-a**2 + a - a) as k*a + l + u*a**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*q + 1914 = -249*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let o(g) = 5*g**2 - 4*g + 3. Let x be o(d). Let q be (-1398)\/(-78) - (-8)\/104. Calculate the highest common divisor of q and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29970.0088 - -29939.0088006. Let p = o - -31. What is p rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(3*v - v + 3*v) + (-1 - 4 + 3)*(79 - 29 + 38)*(-v + v + 2*v).\nAnswer: -327*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9186253 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5147.579 micrometers?\nAnswer: 5147579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * 200324.\nAnswer: -32252164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**4*v**2 + 107694*l**4 + 2977*l**2*v - 10*v**2 wrt l.\nAnswer: 216*l*v**2 + 2584656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -5*x**3\/6 - x**2\/2 + 6*x. Let w be q(-3). Suppose -w*m = -10*m - 48. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**7\/840 - r**5\/30 + 4*r**3\/3 + 2. Let x(o) be the third derivative of t(o). What is the second derivative of x(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750*v - 1747*v = -513. Is ((-798)\/v)\/((-154)\/156 - -1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 8 = 7*g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -557, -835, -1113, -1391?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/40 and -20\/9571.\nAnswer: 382840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-10)\/1 - (30\/20 + 222\/(-12))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 728468*d**3*m**2*x**3 + 11*d**3*m**2 - 430*d**3*x**2 + 2*m*x**2 + 2425*x**3 wrt m?\nAnswer: 1456936*d**3*x**3 + 22*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-4))\/((-2)\/(-560)). Let v = -1443\/2 - m. Calculate the common denominator of v and 214\/(-14)*(-7)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {x: 2, o: 4, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**4\/4 + i**3\/3 + i**2 + i + 16. Let a be t(-1). Let b(k) = k + 2. What is b(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqjq when four letters picked without replacement from jqmmq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1582 + -972. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22168252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-1*(34 - 5). Let b = -464 - -184. Let n be b\/15*6\/4. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33\/7, -15, -5.\nAnswer: -15, -5, 33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - ((-24)\/7)\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 12*m**2 - 4*m + 7. Calculate f(-8).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**2\/2 - 6*o + 4. Let z be w(-6). Solve 0*y = -4*y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -262 - 3?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Let r = x + -4. Which is the nearest to r? (a) -0.1 (b) -2\/19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -3, -45, -125, -255, -447, -713, -1065?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10098 and 89\/5049.\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 80, 0.04, 0.5.\nAnswer: -2, 0.04, 0.5, 1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2328*w**5 - 496*w**2 - 4 wrt w?\nAnswer: -139680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -214, -194, -170, -142?\n\"Answer: 2*h**2 + 14*h - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + sqrt(2016) + (sqrt(2016)*1 - sqrt(2016)))\/(-1*1*sqrt(2)) + -2.\nAnswer: -24*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*r + r, r = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 49. Let j(o) = o**2 + 84*o + 565. Calculate the remainder when j(-6) is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-9) - 2\/(-9). Let o be 145\/15 - 2\/(-6). Let h be (15\/9 + -2)*o. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412045 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24645.89km in meters?\nAnswer: 24645890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -15*l + 30. Let j be (-8)\/(1 - l) - 8\/2. What are the prime factors of (1188\/(-48))\/(j*(-3)\/(-16))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441 divided by 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17062 - 17133.51. Let y = -0.51 - c. Let t = -70.934 + y. Round t to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54272 and 11695192?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 665507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 5 (c) 4 (d) -5 (e) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkkb when four letters picked without replacement from {x: 2, j: 3, y: 3, m: 3, b: 1, k: 4}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4.94. Let p = 2.94 + a. Let x = p + -3. Which is bigger: x or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 157*v**2 + 1318*v - 2093. Determine f(-148).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l - 2. Let j(y) = -7*y**2 + 80*y - 10. Let r(s) = j(s) - 5*u(s). Find the second derivative of r(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005862934 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -443 * 243792\nAnswer: -107999856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-33)\/(-264)). Is 97 + (-2 - h) - (5 + -2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118088 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y**3 + 2 - 5 + 5*y + 2*y**2 + 0*y**2 + 2 - 1 as b*y + o + s*y**3 + p*y**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3153 = -50*v + 53*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p + 12*p**3 + 2 - 2*p**2 - 4*p**2 - 8*p**3. Let v(z) = 13 - 51 + 2*z + 6*z + 19 + 5*z**2 + 17 - 3*z**3. Determine -5*u(m) - 6*v(m).\nAnswer: -2*m**3 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184451019 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 1, z: 1, m: 2, u: 2, e: 3}. Give prob of sequence cu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 2 in decreasing order.\nAnswer: 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c*c*c\/(c*c**(-12\/7)*c)*c)\/c*c)\/c**(-5))**(-2\/31) assuming c is positive.\nAnswer: c**(-164\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 5. Let h(o) = o**3 + 4*o**2 - 5*o + 2. Let a be h(-5). Suppose u = -a*u - 15. Let w be v(u). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179a - -147?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*1)\/sqrt(6) + (sqrt(5) - sqrt(450)\/sqrt(10)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1\/6, -3, -51, -1.16, -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (696 - 704)\/(1*(-1)\/216) and 64?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648701 and 7424.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k + 3*k**2 - 2*k**2 - k + 654 - 918. Determine r(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 407711*q - 407714*q = -51, -4*v = 2*q - 28 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:12 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17681999.\nAnswer: 691, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207 + 245. What is the least common multiple of 6 and d?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0168 times 2693150?\nAnswer: 45244.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1214, -1212, -1210, -1208?\n\"Answer: 2*m - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/1 + (-4 - -6). Suppose 0 = -o*d + d + 5. Suppose 0 = -3*l - 6 - 9. Put l, d, 3 in descending order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1746*y**2 - y - 1675?\nAnswer: 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 407\/8 + -51. Let u = -0.05 - -0.55. Put u, 4, z in descending order.\nAnswer: 4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d - 36. Calculate the smallest common multiple of 27 and w(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 217\/(-35) - 4\/5. Suppose -4*g + 2 = -10. Suppose 0 = -5*o + 5. Sort o, -1, m, g.\nAnswer: m, -1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**2 + 36*x - 8.\nAnswer: 4*(x + 2)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 - 7*k**3\/3 + 5*k**2\/2 + 5*k - 2. Let i be y(6). Sort -5, -4, i in decreasing order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 961919441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11238259 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1642000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 71 - 265 = 0. Let o be 1 - 1 - 0\/(-6 + -3). Suppose o = 2*n - 3*n + 21. Calculate the greatest common factor of u and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*d - 10, f + 5*d = 5*f - 20. Let i = -2 + f. Let o = -194 - -194. Solve o*s + i*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.1. Let u = 222 + -227. Let w = 3 - -2. What is the second smallest value in w, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -763 - 10650?\nAnswer: -11633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/49 (c) -3 (d) 2\/87 (e) 2\/5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (538 + -626)*3\/(-36)*-3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 764845170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:12 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -180. Let w = y - 49. Let i(k) = 13*k + 11*k - 32*k + w*k. Let m(h) = -70*h. Give i(m(r)).\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49856.94 tonnes to grams.\nAnswer: 49856940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 124.\nAnswer: 4712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4)\/(i*i\/(i*i**1\/i)))**(-1\/22))**47 assuming i is positive.\nAnswer: i**(47\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37010*k**3 + 20 + 35859*k**3 - 20.\nAnswer: 72869*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(2*s + 0 + 0) + s + 3*s - 2*s - s + 0*s - s + (-2 + 5 - 2)*(-8*s - 2*s - s)*(0 - 4 + 2) as g + c*s and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 6:06 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20664.999974312 + -20665. Round a to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 884 and 2184?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*k + 254*k - 7352 + 7352.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/13, 1, 1\/6, -0.8 in decreasing order.\nAnswer: 38\/13, 1, 1\/6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 52 = 436. Solve -2*v - 14 + f = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 - 5*c**2 + 14*c + 56. Let h(l) = -l**3 - l**2 + 2*l + 9. Give 13*h(x) - 2*n(x).\nAnswer: -x**3 - 3*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2152, 6, 5, 3, 0, 1, -0.0201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 6*m + 1. Is 6 a factor of q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733, 3466, 5197, 6926, 8653, 10378?\nAnswer: 12101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from sradaarhaadjdaaaasah.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2093 - 2113. Let j = 55 - 91. Let b = 15 + j. Which is greater: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -107 + 109 + 3*i**2 - 2*i**2. Let d(q) = -2*q**2 - q - 3. Calculate -3*d(o) - 5*j(o).\nAnswer: o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/258875 and 93\/46550.\nAnswer: 25369750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x*x)\/(x\/(x*x**14*x)))\/(x**(1\/3)*x)**(1\/31) assuming x is positive.\nAnswer: x**(1298\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -147*m + 66. Is 18 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*d = 348*d + 520. Let f(h) be the second derivative of 0 + 0*h**2 + 1\/30*h**3 + d*h + 1\/20*h**4. Factor f(y).\nAnswer: y*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12468*b + 74803. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/171, -2\/9, -0.4, 2\/11, 2?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 320*h**2 - 637*h - 318.\nAnswer: -(h + 1)**2*(h + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 832 - 820. Let o(j) = z*j + 8 + 15*j - 25*j. Calculate o(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*j + 3 = 0, 0*d - 2*j = d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*g**2 - 2*g - 1648.\nAnswer: -102*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**2 + 29*k - 78. Let w(i) = i**2 - 8*i + 1. Determine -c(y) - 4*w(y).\nAnswer: 2*y**2 + 3*y + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/(1\/14*926\/(-3241))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-18))))\/k)\/(k*k**(-2\/7))*((k*k**(-5\/7)*k)\/k)**(1\/67) assuming k is positive.\nAnswer: k**(-8775\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11102142.\nAnswer: 2, 3, 1850357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 894556 and 11.\nAnswer: 894567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 11 - 11 - 3*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16 + 2 + 3 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -11 - -3) + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2871, 1628, 13845, 37638, 76865, 135384, 217053, 325730?\n\"Answer: 643*q**3 + q**2 - 5*q - 3510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*f = -5, 0*z + 3*z = 5*f - 15. Let x be (z\/(-4))\/((-12)\/(-24)). Let s = x - -78. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1133\/540 - -737\/54. Let t = f + -83\/60. Find the common denominator of -59\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a**3 + a**2 - 21*a - 23. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (-2 - (-2 - -2)). Suppose -4*t - 3*u + 8 = 3, 2*u + 12 = 5*t. Suppose -5*d + 40 = 4*r, -4*d - r = t*r - 31. Sort n, 0, d in ascending order.\nAnswer: n, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.43 - 87. Let w = -45 - n. Let g = -0.407 - w. Round g to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -632\/3 > -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10835645 divided by 7985?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.55 less than -12.536197396?\nAnswer: -82.086197396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -72, -60, -34, 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6642 from -0.3.\nAnswer: -6642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Solve -2*i - 10 = 2*u, 3*u + 0*i - 20 = y*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151957010 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)*2 + 3. Let b be (20\/6)\/(-6*3\/27). Let c be 12\/(-32) + b\/8. Put c, w, 3 in decreasing order.\nAnswer: w, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*o + 21. Suppose 2*q - o*y + 5 = 0, 3*y - 5 = -2*y. Let a(s) = s**3 + 2*s**2 + s. What is a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 4*u + 2. Let m be r(-4). Suppose 120 = 3*i + 2*l, i + 4*i - m*l = 216. What is the highest common factor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = -2*n, -4*n = 4*z + 8. Let s(b) = -1 + 3*b - 4*b**z + 7*b**3 + 5 - 4. Is 14 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308900 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - 76*m**2 - 7*m + 125. Give i(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -100100011011101?\nAnswer: -100100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -2*x, 4*x - 3*v = -5*v + 10. Suppose 2*o = x*o + 6700. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 9*q**2 - 14*q - 33. Let n be r(-8). Suppose -3*w = 2*w - n, w = 4*a - 3881. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 383970197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092425 is divided by 279?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011614229966 to 6 dps.\nAnswer: 0.011614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -81. Suppose 0 = -22*k + 27*k - z. Factor -9\/7*p**2 + 6\/7*p + 3\/7*p**k + 0*p**3 + 0.\nAnswer: 3*p*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24048*g + 35255?\nAnswer: -24048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:28 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/(-45) + (-2)\/(-10) - -1. Solve -z*d - 10 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.5999 and -5.\nAnswer: 287.9995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(1 - (4 - 0)). Suppose p = 5*y, -18 = -3*p - z*y - 0*y. Find the third derivative of -l**3 - l**3 + p*l**2 - 3*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*u + 2389745, 4*q - 4*u + 477971 = 3*q. Let h = 327951 + q. Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354130543 - -5?\nAnswer: -354130534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 46.3. Suppose m + 13 = -4*t, -2*t + 4*m = -0*t + 2. What is the third biggest value in t, -0.5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/3? (a) -5 (b) 5 (c) 2\/7 (d) -1 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59*(-16)\/(-944) + 48\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {u: 3, k: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -1\/6*q**3 + 0*q + 2\/5*q**5 + 113 + 0*q**2 + 3\/8*q**4. Factor l(j).\nAnswer: j**2*(j + 1)*(4*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o = -884*o + 256*o + 2220 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 345*u**3 - 1070*u**2 + 720*u = 0?\nAnswer: -72, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 1081899.9\nAnswer: 75732.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 60. Let g be l(20). Let o(i) be the first derivative of -1\/10*i**4 + 4 + 0*i**2 + g*i + 2\/15*i**3. Factor o(f).\nAnswer: -2*f**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Solve -708*f + 719*f - 66 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343.00000309 - 343. Round q to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)*(3 + -7). Suppose -t*v = -3915 - 6521. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyc when three letters picked without replacement from {w: 1, t: 1, z: 10, y: 2, c: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:53 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 2*u + 114. What is the remainder when 74 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose -u + 1 = -b*u. Let f be 10\/12*(-10)\/25. Is u > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*x - 2092, 2*x + 5*r - 8*r - 1402 = 0. What are the prime factors of x?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 6. Calculate the remainder when (4\/1)\/((-4)\/(-107)*9\/18) is divided by z(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 + o + 1. Is w(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 3. Let p be j(-6). Suppose 5 + p = 4*z. Suppose 4*w = 5*q + 78, 0 = -3*q + 4*w - 17 - 33. Sort 1, q, z in descending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*l + 2*x + 15, 4*x = 3*l - 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408913 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 21. Suppose 5*a + 2*o = j, -34 = -5*a - 5*o + 7*o. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1485 + -80.7485. What is y rounded to the nearest integer?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 86 - 14. Let b(z) be the second derivative of z**3\/3 + 5*z**2 + z. List the prime factors of b(l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 29. Let o be c(12). Suppose o*l + 4*b = 267 + 1391, 4*l - b - 1339 = 0. Is l a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69084 divided by -810.\nAnswer: 3838\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 = -5*b + 23, -5*b + 2*h = -78. Let l(w) = 24*w - 4*w - 10*w - b*w. Let t(c) = -14*c**2. Calculate t(l(a)).\nAnswer: -504*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**7\/5040 + 5*j**4\/6 + 33*j. Let y(v) be the third derivative of d(v). Suppose y(c) = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800120 = -50*z + 286130. What are the prime factors of z?\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 3*m. Let g be y(2). Let j = 3 - 8. Put g, j, -4 in descending order.\nAnswer: g, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1076 and 8.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 385984717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -44.038. Let m = p + 0.035. Round m to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 8*u + 5. Let c be d(8). Suppose -c*a = -a - 28. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + 5*r - 7. Let k(c) = 5*c**3 - 6*c + 7. Calculate 5*k(s) + 6*o(s).\nAnswer: s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:52 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074932 divided by 2?\nAnswer: -537466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/7 - 2*r**4 + 24*r**3\/7.\nAnswer: r**3*(r - 12)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8\/31 (b) -2 (c) 0.09 (d) 1.07 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let m be a(1). Suppose 3*d = 2*n - d - 136, 4*n - d = 265. Suppose g + m*g = n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 71 - 6 = 4*n, 3*n + 2*o = 43. Solve n = -3*a - 5*d, -2*a + 4*d - 1 = 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3980 divide 2852808280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*q**3 + (-4*q**2 + 3*q**2 + 3*q**2)*(-q - 3 + 3) - 3 - q**3 + 3 + 0*q + q**3 + 0*q - q**3 + 0*q**3 - 6*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-214)\/6 + (13 - (-129)\/(-9)). Which is smaller: -1\/10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -84, -197, -354?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2852 and 16845338?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*s**5 - 104560*s**4 - 3270456*s**3 - 3123332*s**2 + 175814*s + 134100 = 0 for s.\nAnswer: -25, -1, -1\/5, 18\/85, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 1 (c) 0.4 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779*-5.7537.\nAnswer: -4482.1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 3. Let k be q(-1). Let m(f) = -2*f**3 - 3*f**2. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2533*u**2 - 12893*u**2 - 1 + u**3 - 3*u**3 + 1.\nAnswer: -2*u**3 - 10360*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:42 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = -2. Let a(k) = k**3 - 7*k**2 - k + 10. Let u be a(v). Let x(y) = 3 - u + y**2. Let d(h) = -3*h**2. Give x(d(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24)*(-17)\/((-408)\/(-64)))\/(-45).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586 + 620 - (11 - -56).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140\/11 at most as big as 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 808*h**3 - 3*h**2 + 19*h - 33. Is b(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 3. Let u be j(-6). Let p(f) = -6*f**2 + 2*f + 5. Let s(g) = g**2 - g - 1. Let y = -8 - -9. Let k(m) = y*p(m) + 4*s(m). Determine k(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*x - 7*x + 3*x + 2*a - 213 + 203, 0 = 5*x - 4*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-6)*2)\/(20\/100))\/(7240\/121632)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 29764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 17, r: 2}. Give prob of picking 2 r and 1 x.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -2*v**5\/5 - v**4\/6 - v. Find the third derivative of w(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*m - 3717 = 1460 + 5257 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 360.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14269102363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8516.955 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 - 6*t**2 - 10*t - 2. Let w(i) = -5*i**3 + 3*i**2 + 6*i + 1. Let d(k) = -4*u(k) - 7*w(k). What is d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2676.115 millilitres?\nAnswer: 2.676115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68224619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.147 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*q + 68 + 73 = -3*q + 5*v, -3*q + 113 = 5*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(1*(-2)\/(-4)) + 69.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-1) + 1\/(-1). Let a(d) = 5*d - 13. Let t(i) = 14*i - 38. Let p(r) = 11*a(r) - 4*t(r). Let g be p(8). Sort -2, y, g in increasing order.\nAnswer: -2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29830 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*r + 414*r = 2196. Solve 6*v + 440 = r*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/3, 51, -1, 21, 0.036?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 241822695, 241822694, 241822693, 241822692, 241822691, 241822690?\n\"Answer: -j + 241822696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/3)\/m))**15\/(m*m**4*m\/(m**(-11)*m)*m*m))**19 assuming m is positive.\nAnswer: m**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 + 20025*x + 239868 = 0. Calculate x.\nAnswer: -6663, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 44*x + 72.\nAnswer: 4*(x - 9)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mmbbbbbbmmkk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 2)*(-4 + 2 + 4)*(2 + l**2 - 88*l + 88*l) in the form y*l**2 + b + d*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-23)\/(-10))\/(-23) + (-62)\/(-20). Suppose 5*r = -j*z + 375, 4*z = r - 34 - 41. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 236 + 93 - 724 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1 (b) 2\/5 (c) 1361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3847103.\nAnswer: 13, 139, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18195065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s. Let v(t) = -17*t. What is m(v(k))?\nAnswer: -119*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2\/633 (b) 2\/3 (c) -2 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -57. Suppose l*v + 2984 = 16*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 18*n**2 + 22*n + 87. Let v be j(-17). Sort -128, -1, v.\nAnswer: -128, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 179, 3, 0, -13.\nAnswer: -13, -2, -1, 0, 3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/((-15)\/(-90))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a factor of 327656532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010010111 (base 2) in base 15?\nAnswer: -9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736400387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2986794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17143 and 29309.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5704 is divided by 458?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltltteetleellt. Give prob of sequence tt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -23*l**3 - 2*l**2 + 9*l + 8. Determine p(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/5 - 2) + -4. Let c be (4 - 2) + q + 2 + 1. Let p be (-138)\/(-24) + 1\/c. Solve -1 = s, 2*s + 0 = -4*r - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 199\/153317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0150180569 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 175.12 and 743233629.\nAnswer: 743233804.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 812 and 1160?\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-5))\/((-2)\/20). Let g = p + 8. Sort g, -1, 0 in descending order.\nAnswer: 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -924*u**5\/5 - 567*u - 537. What is the first derivative of s(n) wrt n?\nAnswer: -3696*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156216 and 1698.\nAnswer: 156216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1460\/(-44) - -38)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22779 - 1571803\/69. Let b = v - -2\/23. Is 2 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nflvnl. Give prob of picking 1 n, 1 v, 1 f, and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(312\/(-12))\/(-13). Solve 2 + 6 = -4*x + t, n*t - 7 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 2:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from qqvvivivqiviv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1188 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -282, -274, -252, -210, -142, -42, 96, 278?\n\"Answer: a**3 + a**2 - 2*a - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/36*11\/(-165)*-6*4\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628.045098 + -628.875. Let c = 0.83 + h. Round c to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 125*q**2 - 1 - 246*q**2 + 102*q**2 - 20*q**2 + (-4 - q**2 + 4)*(-q**2 + 0*q + 0*q).\nAnswer: 4*q**4 - 289*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73916010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 9*g + 3. Let r be o(-9). Suppose -b - 3 = 0, -b - 138 = -r*c + 3*b. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635.\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 2. Let r be z(-4). Let g(h) = -3 + 4*h**3 + 0*h - 3*h**3 - 3*h + 3*h**2 - 5*h**r. Give g(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127400 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.30332ml to litres.\nAnswer: 0.08930332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404506582.\nAnswer: 2, 673, 1043467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/20 - 24\/(-10) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 0*c - 50. Suppose 0 = 2*o - 5*b + 11, -5*o - c = -5*b - 0. Solve o*l - 5*x - 10 = 0, -3*l - 19 = -0*x + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/8 + 1\/24. Let v = 70 - 76. Let l = 8 + v. What is the nearest to -1\/4 in k, 0.2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078 - 609*g**2 - 2805 + 1727.\nAnswer: -609*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.058 + 0.058. What is the biggest value in -2\/7, 2\/7, n, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 5804*j + 103495. What is t(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21*u + 83. What is r(9)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - (-1 + -6)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4506, -9086, -13644, -18168, -22646, -27066, -31416, -35684?\n\"Answer: 2*v**3 - v**2 - 4591*v + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163957733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36581101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(sqrt(325) + 1) - sqrt(325))**2.\nAnswer: 120*sqrt(13) + 5205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 17725 + 5413*y - 8859 - 8866 in the form f*y + v and give f.\nAnswer: 5413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w. Let q(y) = -122*y. Give v(q(h)).\nAnswer: 732*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179644?\nAnswer: 2, 97, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19710*d = 19918*d + 3952 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*-100*(-24 - 162648). What is a rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w + 2. Let z = 0 - 0. Let c be q(z). Suppose 0*m + c = m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 - 3*h**2 - 3*h - 1. Calculate t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5dd (base 14) to base 16.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -42304 at most 1\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4667*k**6 + 1740*k**2 wrt k.\nAnswer: -560040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 20*r + 99. Let t be z(24). Solve 8*o - t*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 7 = 1, -9 = k + 4*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 2)*(-4 + 6 - 1)*(4 - 2 + 2)*(6 + 2*u - 6).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 + 4. Let d be s(-3). Suppose 23 = 3*t - d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 54*z - 323. Determine p(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 4*x + 0*x)*((2 + 2 - 1)*(-3 + 3 + x**2) - 8*x - x**2 + 8*x + 19487 + 19486 - x**2 - 38981) to m*x + j + q*x**3 + t*x**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 3*j**2 - j - 31*j**2 - 4*j**2.\nAnswer: -40*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2293024458?\nAnswer: 2, 3, 37, 10328939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598290, 598282, 598274?\nAnswer: 598266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2193?\nAnswer: 1\/2193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 114*i - 130 + 66 to the form z + s*i and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3405*-2.47\nAnswer: -8410.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Let l be (-6)\/k*4\/(-6). Does 15 divide l*3\/(6\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r**2. Let k(l) = -83*l. Determine k(f(w)).\nAnswer: -1411*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666 = -4*u + 662 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 43 = h + n, -5*n - 37 = -3*h. Suppose -48 = h*a - 93. Solve 0 = 4*u + a*y + 35, u + 3*y + 24 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let m(i) = -2*i - 1. Let x(s) = m(s) + 5*w(s). Let u(f) = -2 - 2*f + 6*f - 3*f. Let t = -14 + -3. Calculate t*u(d) + 6*x(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + 0.14. What is the second smallest value in 2\/7, t, 3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7292)\/(-587006))\/(2\/(-14)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 + 182*f - 136. Determine a(-23).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 0 + -5 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)*(2 + -9). Suppose 3*r + y - 3 = 0, 5*r - 2*y - 4 - 1 = 0. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0452 and -0.8.\nAnswer: 0.03616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -103?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 9 - (-2 + 1)*-2. Let t be ((-3)\/(u\/(-2)))\/((-156)\/(-36)). Which is the closest to t? (a) -4\/3 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 - 2*q**3 + q**2\/5 + 2*q.\nAnswer: -q*(q - 1)*(q + 1)*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*k**3 - 399*a**2*k**2 - a**2*k - a*k**3 - 2*a*k**2 + 98*k**3 wrt k.\nAnswer: -12*a**2 - 6*a + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459532193 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 486, 487, 484, 477, 466?\n\"Answer: -2*f**2 + 7*f + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 + 4*d - 1. List the prime factors of j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**9\/378 - b**8\/420 + b**7\/210 + b**3\/2 + 20*b. Let z(u) be the second derivative of g(u). Let z(x) = 0. What is x?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5, -2*t - 609 = -5*c - t. Let b(k) = -2 - c*k + 133*k + 1. Calculate b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q + 96. Let j be f(18). Let l = j + 186. Let h(i) = -i**3 - 7*i**2 - 5*i. Determine h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 9) to base 7.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284836 to the power of 1\/2, to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2185 - 2185.4382. Let y = c + -0.0618. Let d = -3.04 - -3. What is the nearest to d in 2, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n - 15396. Let l(x) = x**2. Calculate k(l(y)).\nAnswer: -9*y**2 - 15396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-2)\/172). Suppose 2*m - 3*x - q = 0, 3*m = -x - 2*x + 72. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -118, -290, -542, -880, -1310, -1838?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = 4*z - 1383. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7172, -14344, -21516, -28688, -35860, -43032?\nAnswer: -50204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/((-26)\/78)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-10)*6055\/10899?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1406b (base 12) to base 3.\nAnswer: -1102001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = 5. What is the remainder when v + 0 + 4 + 40 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-15)\/27*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/51*(-255)\/(-9)*220\/(-4400)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*3\/18*66. Let l = g + 31. Put l, -3, -1 in decreasing order.\nAnswer: -1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (6*2\/4 + -41). Calculate the highest common factor of 35 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 2. Give f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-6 + 3)) + 1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 73*b + 2396. Give s(-33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 2*n**2 - n + 30. Let f be s(-4). Let g = 256 - f. Let y = 3 + -6. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 15. Let z be j(-3). Suppose -z*i - 5*n = -2781025, -1640953 = -5*i + 4*n + 2994027. What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 7.1. Suppose 81 = -9*s + 297. Suppose s = 4*u + 3*z, 0*u - 30 = -5*u + 3*z. Sort u, 2\/7, t in decreasing order.\nAnswer: t, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 48134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/130 and 97\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6, -4*n - 5 + 1487 = 3*c. Suppose -3*f + 255 + c = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2. Let j(x) = 2137*x**2. What is j(u(o))?\nAnswer: 173097*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let h(m) = -4*m**2 + q*m**2 - 4*m**2. Let w(i) = i - 2*i + 0*i. What is w(h(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1059 divide 50988682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/1*3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - v - 9, 1 = -5*p - 2*v - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/11130 and -22\/5.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/225*(-2460)\/(-19926).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4004 divided by 4535?\nAnswer: -4004\/4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 - -315. Let t be (-84)\/(-99) + 2\/(-3). Which is the smallest value? (a) f (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-26)*x*x\/x**(4\/9) assuming x is positive.\nAnswer: x**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 530\/(-3) + -6*7\/126. Let i = f + 179. Solve i*z - 4 = -2*d, 0 = -d - 0*d - 4*z + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 + t + 7. Let g be y(-5). Let d be g - -46*(-2)\/(-4). Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2109398523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -a - 942, -5*g - a - 2492 - 2198 = 0. Which is smaller: -938 or g?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) -0.2 (b) 55 (c) -75\/8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25040115187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100101101011000101 (base 2) in base 10?\nAnswer: -5135045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1291 + 1244. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/40 + 1\/8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let r(a) = -2*a + 1. Let p be 32\/(-12)*(-12)\/8. Let u = p + -10. Determine u*g(n) + 2*r(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 + j**2 - 76*j**3 + j**2 + 75*j**3 - 2 - 35*j**4 to the form a + l*j**2 + h*j + o*j**3 + v*j**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyyyppvvpvyvyphpyv. Give prob of picking 3 v and 1 p.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10660 divided by 2665.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -102430 rounded to the nearest one thousand?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 + 114 = 3*r, 5*r + f = 145. Suppose o + 4*o - r = 0. Suppose 0*u - 5*u - 3*z + o = 0, -3*u + z = -12. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*r**2*v**2 - 21*r**2*v + 2*r**2 + 44405*r + 25*v**2 wrt r?\nAnswer: 112*v**2 - 42*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 5 - 6)*108225\/(-50).\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 2. Suppose 0*y = 3*y - 15. Let s = y - 3. What is the lowest common multiple of 1 and c(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a + 307. Determine w(16).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 + (-115)\/(-15))\/(-5 - (-113046)\/22608)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*s - 54 = -s, 0 = -3*y - s + 24. Let l(n) = -20*n**2 + y*n**2 + 7*n**2. Let x(b) = -54*b. Determine x(l(m)).\nAnswer: 216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6, -1, -28, -3\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28957 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.96 - -0.06. Let v = g - -4.9. Let q = 3.00000003 - v. What is q rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-7))\/((-9)\/63). Let k be (i\/4)\/((-12)\/20)*2. Solve -5*p + 5*l = -10*p + 30, -k*p = -3*l - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -157. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140619957 to the nearest integer?\nAnswer: 11858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**0\/s)*s)**(-3\/2)\/(s**(3\/14)\/(s**(-7)\/s)) assuming s is positive.\nAnswer: s**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -50?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 327, 4 in decreasing order.\nAnswer: 327, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29151.910274 - 29151.6. Let q = -0.31 + f. What is q rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gikv when four letters picked without replacement from {g: 1, u: 5, v: 3, i: 2, k: 1, j: 8}?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -744, -838, -970, -1140, -1348, -1594?\nAnswer: -1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866357\/80 less than 23329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2234658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -563*o**6\/10 + 566*o**2 + 1063*o. Differentiate j(k) wrt k.\nAnswer: -6756*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304792 is divided by 149.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7792.786 millennia to years.\nAnswer: 7792786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -338, -352, -386, -446, -538, -668, -842?\n\"Answer: -k**3 - 4*k**2 + 5*k - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 7*f**6\/8 - 25*f**4\/24 + 2*f**2 - 284. Find the second derivative of h(o) wrt o.\nAnswer: 630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8268 + -4509. What are the prime factors of n?\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 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: Simplify (3*(-4*(sqrt(363) + 1*sqrt(363)) + sqrt(363)))**2.\nAnswer: 160083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 407 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 - 5*m**3\/6 - 4*m**2. Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -56*p**5\/3 - 127*p**4\/8 - 193*p**2 - 2. Find the second derivative of v(s) wrt s.\nAnswer: -2240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {x: 1, r: 4, p: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 3*t + 1. Let w(q) = -2*q - 9. Let i be w(-6). What is the remainder when 3 is divided by u(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89932.1503 from -63877.\nAnswer: -153809.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.851016 times -0.2?\nAnswer: 4.1702032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1516 or 43.73?\nAnswer: -1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*m**2 + 86*m**2 - 53*m**2 + 91*m**2 + 98*m**2.\nAnswer: 383*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j + j**4 + (4*j**2 + 4*j**2 - 5*j**2)*(0*j**2 + 3*j**2 - 6*j**2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let j = n - -4. Let i = -3 + j. Sort 2, 0.4, i in descending order.\nAnswer: 2, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47047.\nAnswer: 7, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34c3 (base 15) to base 9\nAnswer: -16333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 - 135 - -145 - -14.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 15*t**2 - 2*t - 37. Give i(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioe when three letters picked without replacement from oieoeeieeeoeeeeeei?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.980526 rounded to two decimal places?\nAnswer: 10.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 - 7*b - 4. Let y be p(-6). Suppose 3*z - 7 - y = 0. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -401695*b**4 + 618*b - 138 wrt b.\nAnswer: -4820340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 1\/5 (c) 0.0397 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 times 1828.1?\nAnswer: 263246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1799*b + 19421.\nAnswer: 1799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29359, 117427, 264211, 469717, 733951, 1056919, 1438627, 1879081?\n\"Answer: u**3 + 29352*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 96*g + 1483 - 5971 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**3 - 5*z**3 - 4*z**3)*((0*z + z - 2*z)*(-1 + 1 + 1) - 4*z + z + 16*z) in the form j*z**2 + u + i*z**4 + s*z**3 + r*z and give i.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Suppose 0 = l - 0*t + 3*t + i, 4*l + 3*t = 19. Let q be (18 - (-21 + 41)) + 8\/1. Does l = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813021 divided by -347.\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-24)\/4))\/(16\/(-72))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11233222 (base 5) to base 7\nAnswer: 604200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uusb when four letters picked without replacement from usexxsbxsxsueu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 4) in base 16?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*z + 24, 3*l + 2*z + 3*z - 29 = 0. Let q(y) be the third derivative of 1\/30*y**5 - 2*y**2 + 0 + 0*y + 0*y**l + 0*y**4. Factor q(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 5)*(-4)\/(-1). Let b = -8 - -7.9. What is the nearest to m in 2\/5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.854398 kilometers?\nAnswer: 3854398000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**3 - 2*c**2 + 1. Let t be d(-1). Suppose t*u - 4*u - 40 = 0. Solve 0*r - u = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -125*(-8)\/(-10 - -18). Let x = -123 + h. Let o(y) = 5*y + 3. Let l be o(-3). What is the closest to x in 0.3, -2, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {p: 1, d: 3, w: 4, r: 3, i: 3, t: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {d: 2, r: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -43. Let r be j\/5*(-5)\/2. Let h(f) = -2*f + 3. Let o be h(r). Solve 3*v = 22 - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1949?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Suppose q*m + 0*m = 16. Let k(p) = 29*p - 9. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/2 + 2*b**3\/3 - 2*b**2 + 4*b. Let o(q) = 5*q**2 + 3*q - 3. What is -3*f(z) + 4*o(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0, -3\/569, -5?\nAnswer: -3\/569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = -7. What is the remainder when (i + 20)*(-5)\/(-5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Let m = -50 - -95. Let x be (m\/15)\/((-2)\/2). Which is the second smallest value? (a) j (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/122 and ((-141)\/(-12))\/(1\/(-5)*-5).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103504310 - 0?\nAnswer: 103504310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let v be (36\/5)\/(105\/350). Suppose 0 = -5*q + 10, 28*p - 3*q - 2 = v*p. Which is the nearest to -2\/3? (a) 2\/15 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -5)*(2 - 3). Suppose 484 = 3*p - u, 2*u - 5*u = m*p - 480. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-3540222)\/(-441) - (-5)\/(-7) - 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddscghs. What is prob of picking 1 g, 2 s, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, 6, 55, 124, 213, 322?\n\"Answer: 10*n**2 - n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - t - 689 = 0, a + t - 138 = 1. Find the third derivative of -82*b**3 + a - 2*b**4 + 111*b**6 + 100 - b**2 + 82*b**3 wrt b.\nAnswer: 13320*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 57.84.\nAnswer: -11.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + -1 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n + 18. Let l be o(-3). Let c = 330 + l. What is the highest common divisor of c and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*i - 6355 = 2*i, -4*k + 6325 = 5*i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.1, 2, -0.09, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -157*v**3 - v**2 - 3*v + 1. Let w = 33 - 35. Is f(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -723 + 38?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 10*f - 8. Let z be y(6). Let c = -46 - z. Let x be 3 - 2\/(2 - 0). Solve -4*r + x*r + c = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*v + 9414, 6*v - 5*v + i - 1882 = 0. Let u be (-3*4)\/((-69)\/v). Suppose -10*r - 9 + 419 = 0. What is the highest common factor of r and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8122 or 2459?\nAnswer: 8122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(153))**2 + sqrt(153))*-3 + 4.\nAnswer: -530 - 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f**(-2\/9))**(-1\/20) assuming f is positive.\nAnswer: f**(11\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 10, 108 in decreasing order.\nAnswer: 108, 10, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -168*z. Let m(v) = 11*v**2 + 2*v + 32. Give d(m(x)).\nAnswer: -1848*x**2 - 336*x - 5376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213077 is divided by 334.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j)**(-6)\/((j*j**(-3\/4)*j)\/(j*j\/(j\/j**(-2\/9)*j)*j)))**(2\/45))**(-17) assuming j is positive.\nAnswer: j**(3961\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5242 (base 7) in base 11?\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f**2 - 2\/27*f**3 + 0*f + 0*f**4 + 2\/45*f**5 + 39. Factor o(l).\nAnswer: 2*l**2*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 0.04, -0.3, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k)**(-2\/5)*k*k**6*k**6*(k\/(k**0\/k))**14*((((k*k**0)\/k)\/k)\/k)**(-40) assuming k is positive.\nAnswer: k**(606\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -15 (c) 0.095 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from yffgffgfmcyffg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021788507 rounded to 6 dps?\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*q - 52, -2*q - 2*r + 7 = -q. Which is bigger: 68\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 71. Suppose 4 = 5*y - a. Factor 12*l**2 + 2 - 7*l + 6*l - 5*l**3 - y*l.\nAnswer: -(l - 1)**2*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose -1188 = -5*c - u, 0 = -c - 5*u + 103 + 125. Suppose x = -3*r + r + c. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/4 + 87536539*u**2\/2 = 0. What is u?\nAnswer: -175073078, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:49 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/8 + 15*o**3\/4 - 39*o**2\/2 + 71*o. Let k(f) = 0. Calculate f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 3\/5*(4 + -9) - -24?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 1 + 5. Suppose 5*c = 3*z - 27 - 57, 5*c + y*z + 66 = 0. Does 3 divide 6\/c + (-64)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 3. Let w be o(-5). Let j(m) = 93*m + 1020. Let p be j(-11). Which is the smallest value? (a) 5 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-2\/9)*d)\/d)\/d*d)\/d*d**(-4\/3)*d)**2 assuming d is positive.\nAnswer: d**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -566*z + 438*z - 256 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {m: 1, q: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 11. Let g(l) = 5*l + 10. Let m(i) = 5*g(i) + 4*z(i). Let n(p) = -p. Let q(s) = m(s) + 3*n(s). What is the derivative of q(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39413324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 21*u = 20*u + 61 - 115, -r + u = 6 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74)\/(-444)*2*197283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*v + 11807 = 1558 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/13 + 74565836*b\/13 + 695007987297362\/13 = 0.\nAnswer: -18641459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 176 = -4*h - 4*p, 2*p - 188 = -4*h. Suppose 3*f - 6*b = -b + h, 0 = f - 4*b - 28. Suppose -f*m + 9 - 41 = 0. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-336)\/700)\/(3\/(-20)). Let j(r) be the first derivative of -6\/5*r**3 + 8\/5*r + 4 - q*r**2. Let j(l) = 0. Calculate l.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3302*f = 701*f + 26212 + 41892 + 20330 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 - 2459\/9. Which is the closest to -2? (a) 0.2 (b) 17\/4 (c) g (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 14 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10124.2502 to the nearest 10.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -91*i**2 - 4*i + 4. Give a(2).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27826282453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -890, -884, -878?\n\"Answer: 6*c - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32108454 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6483?\nAnswer: 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 179358 = 40*c + 62175. What is the smallest common multiple of c and 15?\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 3. Let i(x) = 16*x - 6. Let z(q) = 11*q - 4. Let c(u) = k*z(u) - 5*i(u). What is the derivative of c(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12*-1 + (-352)\/(-128). Let j(d) be the second derivative of 0 + 1\/2*d**2 - 1\/6*d**x + 3*d. Give j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + z + 33 = 0, 2*w - 2*z - 10 = 0. Solve -g - 8 = 4*k + 2*g, -k - 3*g = -w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.3, -5, -360.\nAnswer: -360, -8.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5763 + 5771. Solve b*d = 24*d - 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = y + 17, o + 1 = -238*y + 240*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -364528 and -37.\nAnswer: 13487536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l - 21. Let g = -50 - -45. Is 21 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 26*p**2 - 1765*p - 20. Let o(y) = -14*y**2 + 883*y + 11. Determine 11*o(s) + 6*q(s).\nAnswer: 2*s**2 - 877*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/5)*w\/(w**(-2\/5)*w)*((w\/(w*w\/(w\/(w*w**(-2\/7)))))\/w)**25)**7 assuming w is positive.\nAnswer: w**(-1479\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 + 37*c**2\/8 - 52*c + 160.\nAnswer: -(c - 16)**2*(c - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.28 and -1.96092.\nAnswer: -2.24092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121\/3 - 40. Which is the third biggest value? (a) -3 (b) q (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2372*u - 2384*u - 106 + 4755*u + 106.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122 and -169.\nAnswer: 20618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 84.1781\nAnswer: -420.8905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w - 145. Let o be g(24). Calculate the lowest common multiple of 42 and (6 - 30)\/(o - 1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + -6 - -4 - 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.6 + 9.6. What is the nearest to -9 in -3\/10, j, 2\/13, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 10. Let b be l(-6). Suppose -b*k = -57 - 15. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2714, -5174, -9274, -15014, -22394?\n\"Answer: -820*f**2 - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 18. Let s(d) = d**3 + 3*d**2 + 4*d + 10. Let u be s(-3). Let o = m - u. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/26 + 15\/52. Let q(m) = 8*m + 34. Let i be q(-4). Suppose 0 = -i*t - 11 + 7. Which is the nearest to 2? (a) p (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 2. Let z be l(-2). Suppose -3*g + 5*j + 94 = 0, -2*g = 5*j - z*j - 31. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 6, 2\/3, 3.25, -0.6, 1\/6 in decreasing order.\nAnswer: 6, 3.25, 2.3, 2\/3, 1\/6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 5 - 19 + 14.\nAnswer: -j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337639 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (-5 + -3*sqrt(448) - sqrt(448))**2 + sqrt(448) + (sqrt(448) - (1*(sqrt(448) + -2) - sqrt(448))**2) + -2.\nAnswer: 336*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/215 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1227855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 4*b**2 + 4*b**2 + 3*b**2 - 6*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a tonne in kilograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18529021?\nAnswer: 7, 2647003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 - 1. Let n(d) = 12*d**3 - 4. Let l(y) = n(y) - 5*r(y). Let k(b) = -3*b**3 + 2*b**2. Give -5*k(t) - 2*l(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1340 divided by -156\nAnswer: 335\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 6. Let c be l(3). Solve 0 = 3*a, 8*x - 4*x + c*a = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 6012624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 14 + 3)*(-1 + 1 + 2)*(2 - 1 - 2)*(-3*o + o + 0*o) to the form z*o + a and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -29*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 123 and 37?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 527742019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 213.7 (c) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -2.3 (c) 830 (d) 3\/7 (e) -0.3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1012226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 275 + 182. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p + 15 = -94*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2655 or 2653?\nAnswer: 2655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 + 3*g**2\/2 - 4*g - 1. Let i be v(3). What is the remainder when 30 is divided by (i - 3) + -3*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**6\/1260 + o**4\/21 + 46*o**3 - 142. Let p(i) be the third derivative of s(i). Factor p(k).\nAnswer: -2*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 3, d: 2}. What is prob of picking 2 f and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from bbwbbjjbi.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)\/(24\/(-12)). Suppose 0 = -g - y*g + 9. Let o be 3*(1 - 6\/g). Solve 2*q - 1 = o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3613255?\nAnswer: 5, 29, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2*f + 2. Let v be t(-2). Suppose -109 = -g - v*y, -6 - 4 = 5*y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 49. Let o be r(15). Suppose 0 = -o*c - 3*y + 5*y + 2, -3*c + 14 = y. Solve 3*a + a + 2*q + 26 = 0, 2*a + c*q + 19 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83928 + 413292 = 5228*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32 + 0)*-2476*166\/(-4). Let r = h + -1948128. What is r rounded to the nearest ten thousand?\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 168. Calculate the smallest common multiple of y(20) and 64.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 2*s - 2*s + (2 + 1 - 5)*(4*s - 2*s - 3*s) + s - 5*s + 2*s + (-2*s + 0 + 0)*(-2 + 1 - 1) + 0 - s + 0 to the form x + z*s and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32872581*i**4 + 4203610*i - 7?\nAnswer: -394470972*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2536470?\nAnswer: -2536467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17368254 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -74. Let f(w) = -w**2 - 11 - 1 + 2*w + x + 3*w. What is f(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.469 - 0.039. Let p = g - 0.03. Let t(o) = o**3 + 8*o**2 - o - 4. Let r be t(-8). Put p, r, -1 in increasing order.\nAnswer: -1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(432) + -6*(sqrt(432) - (0 + sqrt(432) - sqrt(432) - sqrt(432))) + sqrt(432) - (sqrt(432) - (-5 + 2*sqrt(432)))) + -1 + 3))**2.\nAnswer: 10368*sqrt(3) + 560016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1430\/4 - 8\/(-16). Suppose 8*h = 1414 - l. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1043 + -0.0957. Let q(m) = -m**3 + 14*m**2 - 12*m + 6. Let g be q(13). Suppose 0 = k + g + 11. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 260*m**3 - 5*m**2 - 5*m + 12. Let b(z) = -130*z**3 + 3*z**2 + 3*z - 7. Calculate 5*b(p) + 3*t(p).\nAnswer: 130*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 49848748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06377 + -282.23623. Let g = w - -281. Put 2, -0.4, -2, g in descending order.\nAnswer: 2, -0.4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((3 + 1*sqrt(1300) + sqrt(1300))**2 - sqrt(1300))*-5 + 6*(-1*sqrt(1300) + 0))*-6 + 0.\nAnswer: 3660*sqrt(13) + 156258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 887 - 1363 = 0. Calculate the remainder when 309 is divided by w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49)\/(8 + -15)*1\/((-1)\/1682). Round m to the nearest 100.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 + 13*d - 110)*(1 - 3 + 4) - 15*d + 39*d - 10*d - 10*d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76)\/sqrt(4) - (-3*sqrt(76))\/sqrt(4).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -1. Let m be 1*(-3)\/(n\/2). Let z(t) = -t**2 - m*t**2 + 4*t**2 + t - 6*t**2 - t**3 - 3. Give z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56078 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 1. Let m be g(1). Let d be (-60)\/(-80) - 10\/(-8). Solve -m*y - 3*k + 12 = d*k, 4*k = 4*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in -0.3, 1\/6, 146\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3)*(-222*q + 64*q + 26*q - 494*q).\nAnswer: 1878*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*t - 4*o, -4*t + 0*o + 58 = 3*o. Let x be (-8)\/t + (-10)\/(-4). Suppose x*v - 46 = -0*v. Solve -2*h = -5*j - 10, 0*j - 3*h = 2*j + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2 - -10. Let y = f - 3.8057. What is y rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/281, 2, -2 in decreasing order.\nAnswer: 2, 6\/281, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*-2*3 - sqrt(65)*-1*2)*-4)\/(-5*(1*sqrt(45) + sqrt(5))*-1))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*k + 107 + 31, -4*k = -4*j - 136. Let v be (-38)\/9 - (-8)\/k. Let z(y) = 6*y**2 + 6*y. Let x(c) = c**2 + c. Give v*x(a) + z(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -32*c**2 + 25*c + 53. Determine x(-2).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-27)\/(a**(-2\/5)*a**(4\/7)) assuming a is positive.\nAnswer: a**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 1704992.\nAnswer: 209714016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -52. Suppose 6*v - 2*v - b = 0. Suppose v*c - 5*c = 13. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.4, -0.7, -0.16, -3, 14?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61, -128, -199, -274, -353?\n\"Answer: -2*v**2 - 61*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 7*w**2 - 6*w. Let f be m(6). Let c(p) = -2*p + p**2 - p + 0*p**2 - 3 + f. Is 4 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-6)\/(-30)*(3 - 0). Is 1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 259501 (b) -3\/4 (c) 1 (d) -206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3 + 81338*h + 65477?\nAnswer: 6*h**2 + 81338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(3\/2)*(f\/f**(-4\/5))\/f**(-3))\/((f*f**(-1))**(-1\/3)\/(f\/(f\/(f*f**(-1\/5)))*f*f**(4\/5))) assuming f is positive.\nAnswer: f**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 15917981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n + 160 = -28*n. What is the smallest common multiple of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/20 - 4*l**4\/3 - 14*l**3\/3 - 48*l**2 + 19*l - 2. Let h be r(-16). What is the highest common divisor of h and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 1285?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/340 and -87\/343280.\nAnswer: 5835760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajc when three letters picked without replacement from ahcjah?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2543, 5083, 7623, 10163, 12703?\nAnswer: 15243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -3*z - 114. Solve z + 10*t - 10 - 4 - 4*t**2 + 2*t**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 382, -14, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3704 divided by 35429?\nAnswer: -3704\/35429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - 39. Let z = -259 - 45. Let u = z + 328. Calculate the remainder when i is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(65) + sqrt(65) + (sqrt(65) + sqrt(65)*-2 - sqrt(65))*-2 - sqrt(65))\/((sqrt(270)\/sqrt(9))\/sqrt(6)) + 5.\nAnswer: 1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/14)\/((-672)\/(-98) + -6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 28 = 4*o, -166*o + 170*o - 24 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92624, -92622, -92620, -92618, -92616, -92614?\n\"Answer: 2*w - 92626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3 + 1)*(-11*z**2 + 11*z**2 + 6*z**2).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) + sqrt(675) + 2*sqrt(675) + sqrt(675) - sqrt(675))\/sqrt(3))\/((sqrt(216)*1)\/sqrt(8)).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 20, 2*y - 5*y + 3*w + 231 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*y + 153*y + 57 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 16*x**2 + 3. Let q be c(16). Suppose 0 = q*j - 2*v - 174, 2*v + 0*v = -5*j + 306. Calculate the remainder when j is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4115738+-161\nAnswer: 4115577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4155 + 9795 = -6862*r - 8490 + 406 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 134719*y. Let s(u) = -2007*u**2. Give s(n(k)).\nAnswer: -36425462384727*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 271 + 2*l + 6*l + 35*l. Let t be y(-6). Solve 5*f + 31 = 3*h, 6*h = f + 2*h + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.212*16.94.\nAnswer: -3.59128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 122 + 30. Let u = -21 - i. What is the remainder when 44 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10035, 20327, 30785, 41415, 52223, 63215, 74397, 85775?\nAnswer: 97355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + l = 108, -3*y + 2*l - 3*l = -64. Suppose 6*c - 20 = y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.611813 centuries in years?\nAnswer: 561.1813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255321?\nAnswer: 1255321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/4 + 29655*l**2\/2 + 2195803*l\/4 + 534123 = 0. What is l?\nAnswer: -36, -1, 59347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1277 divide 32003640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 10*c - 7*c - c**3 to q + i*c**2 + b*c + m*c**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -5*s**4\/24 + 3*s**3\/2 - 3*s**2. Let i(z) = 3 - 4*z + 24*z - 22*z. Suppose -4*k + 32 + 12 = 0. What is k*i(g) - 4*w(g)?\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:53 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j - 44. Let f = -3144 + 3144. What is n(f)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 0.4, 0.21?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w + 8*w - 5*w - 37*w to the form u*w + g and give u.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189691 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = -3*v + 2684, -2*q + 2680 = 3*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10166, 20333, 30500, 40667?\n\"Answer: 10167*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-30)\/5)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 13. Let n(m) = 3*m + 6. Let x(b) = -5*n(b) - 2*t(b). Let o be ((-6)\/(-2))\/1 + 0\/(-5). Let c be x(o). What is c rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -2411.\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1204.62955757.\nAnswer: -1205.02955757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 + 6*y + 62. Let n(u) = -3*u**2 - 8*u - 53. Let h(b) = -4*l(b) - 5*n(b). Factor h(g).\nAnswer: -(g - 17)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r\/(r\/(r*r**0)))**(-31)*r**(-1\/3)*r**6*r**(-6\/7)\/r**(-1\/4) assuming r is positive.\nAnswer: r**(8237\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*f + 38 = 0, 0 = -4*o + 2*f - 25 + 73. Suppose 8 = 3*y - o. Let l = y + -6. Solve 3*s + 4*i + 12 = 0, 3*s + l*i + 2*i = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*4080\/180 - -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-2)*(504\/(-98) + 5). Factor 0 + z*s**2 - 1\/2*s.\nAnswer: s*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j**3 + j**2 - 19*j**4 + 1 - 3*j**3 + 21*j**4 in the form w*j + m*j**2 + z*j**4 + s + l*j**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = 1. Let l be 7*(44\/28)\/(-11)*-1. Calculate the highest common divisor of t and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*o - 29*a + 32*a, -2*a - 31 = 3*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aba37 + -985?\nAnswer: ab072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 99, 1, -6, -1507 in increasing order.\nAnswer: -1507, -6, 1, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 - 3*c - 5. Let o be r(5). Sort 2, -3, o in descending order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571564 is divided by 63507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 23. Suppose x = u + 4*u. Suppose 2*m - 4*i = 1 + u, 2*m - 24 = -i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1494463 equal to -1494464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19501, -77695, -174579, -310153, -484417?\n\"Answer: -19345*u**2 - 159*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by -2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31488*t - 4 - 1 + 5116*t + 3.\nAnswer: -26372*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -651 + 324. Let a = q - -354. What is the greatest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63ca9 (base 16) to base 8\nAnswer: 1436251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -254?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1029 + 13920. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 681924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44c3e (base 15) to base 3\nAnswer: 102010002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, 0.2, 1\/4, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.52 + -2.98. Let f = -5.50925 - z. What is f rounded to four decimal places?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 222, -20956, -2\/7?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*r - 37 = -23, 3*j - 5*r = -31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-21) - ((-2)\/7)\/1. Let n be (2 - -1) + -2 + 18. Solve -n = -3*o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 9*c + 168. What is the highest common divisor of 126 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 278117 and -0.07378.\nAnswer: 278116.92622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3\/4, -0.04, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/13, 29, -2\/5, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/32 and 13\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 492, 5, 5950, 0, 3.\nAnswer: -1, 0, 3, 5, 11, 492, 5950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 11}. Give prob of sequence ggtg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 + 8*j - 2. Let n be l(6). Suppose 0 = -3*x, 2*b + 0*b - n = 5*x. Solve -b*c = -c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*5\/(-12)*(-9)\/105*-6.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1616 and 105592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 7 + (12 - (-476)\/(-266)) - 17\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {l: 1, q: 1, f: 1, x: 1, j: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Let w(o) = 30*o - 9. What is w(l(b))?\nAnswer: 90*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 + 6*m + 9. Let a be (-4)\/(-28) + (-82)\/(-14). What is the units digit of s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-3)\/2)\/((-29)\/87)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 3*q - 45, 7843*n = 7914*n + 4*q - 446 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/16*(-8)\/(-3). Let z be (-1)\/c + (-1)\/6. Let y be 18\/4*(-2)\/(-3). Put z, -2\/5, y in decreasing order.\nAnswer: y, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(6\/11)*j*j*j))\/j**(2\/9))**(1\/95))**34 assuming j is positive.\nAnswer: j**(-9316\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35*-0.8081671\nAnswer: -28.2858485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from peyeppbpbpepppe?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2 + (-4)\/(-2). Let g(o) = -13*o**3 + o**2 - 1. Let w be g(1). Let y(i) = 15*i**2 + 17*i + 13. Let c(z) = 7*z**2 + 8*z + 6. Give w*c(n) + x*y(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(15)\/sqrt(20))**2 + 5 + 1.\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/(-128)*16\/((-104)\/13)*2?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(b**2 - 6*b**2 + 6*b**2 - 2) to z*b**2 + m + k*b and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 - 1 = 0. Suppose -y - 18 = l - 4*l, 3*l - u*y - 24 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -1, 26, 85, 188?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**5 + 64*s**2 - 5*s**5 - 47*s**2 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 2*d**2 + 0*d + 0 + 1\/6*d**3 + 1\/24*d**4. What is t(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/5 + 14*v**3\/15 - 7*v**2\/5 - 24*v\/5 + 225. Solve h(o) = 0.\nAnswer: -4, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 z when four letters picked without replacement from llzlzl?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 31061 - 30785 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2970979765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 2, c: 3}. Give prob of sequence gz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -209\/4. What is the nearest to -1 in 9, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m**2 - m**2 + 9*m**4 - 24*m**4 wrt m.\nAnswer: -360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6352391\/457240 - 3\/65320. Let f = a + -78\/7. What is u in -25\/4 - f*u**2 - 35\/4*u - 1\/4*u**3 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 15 = 3*k. Let i(x) = x**2 + 43*x + 308. Let a be i(-34). Suppose -5 = n + b, -4*n - a*b = n + 10. Solve n*w = 3*q + k*w - 28, -3*w = q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192 + 1.7?\nAnswer: 1.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h**5 + 8180*h**4 + 205710*h**3 - 320785*h**2 + 162425*h - 27240 = 0.\nAnswer: -24, 1\/2, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -6*p + 1027. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 50*x**4 + 145*x**3 + 160*x**2 + 60*x.\nAnswer: 5*x*(x + 1)**2*(x + 2)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -3)*6\/(-9). Let t be u*(-3)\/(-12)*-8. Suppose 2*y = 4*r - 2*r + 54, 93 = t*y + r. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - m + 2. Calculate q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1437*q + 2039. What is the ten thousands digit of r(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -5. Let p be ((-10)\/k)\/((-4)\/(-6)). Put 1, p, -1 in decreasing order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(2*f**4 - f**4 - 2*f**4) + 5*f**4 + 3*f**4 - 35*f**4 as j*f + g*f**2 + v*f**3 + s*f**4 + c and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c. Suppose c = 3*i - 7*i - 20. Let f(m) = -7*m - 4. Let o be f(i). Solve 2*p - 7*p + o = 4*x, -4*x + 2*p = -10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205951 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30213032032 (base 4) in base 7?\nAnswer: 40050412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21c + -7?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 7*l + 19110 = 15*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/5))\/u**5)\/(u\/u**(-2)*u\/u**(-6)))**8 assuming u is positive.\nAnswer: u**(-552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 + 205. Let u = o + -61.16. Let f = 1.8309 - u. What is f rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38 + (1 - 3 - -1) - 0. Suppose x*y = 40*y - 9. Solve -3*m = 3*q - 12, -1 + 18 = 4*m + y*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 12*f + 3. Let y = 21 - 15. Let n be (-22)\/(-33)*y*-3. Let v be t(n). What is the highest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131420.77 * 0.24\nAnswer: -31540.9848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348019 and 38927?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194463.3 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -55)*(7\/(-2))\/1. Let r = -258 + m. Which is smaller: r or -54?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 64*s - 20. Let o(m) = -13*m + 4. Let d = 1215 - 1213. Let j = 29 + -18. Let t(r) = d*f(r) + j*o(r). Differentiate t(q) wrt q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 76, 9\/4, -2\/3, -0.5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 393*b. Let q(x) = 2*x - 241. What is q(h(u))?\nAnswer: 786*u - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**4 + 6*b**2 - 97 wrt b.\nAnswer: 12*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l - 55. Give u(-18).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -a - a, 0 = -2*a + 3*m + 8. Suppose 15 = 12*u - 9*u, 5*u - 17 = 2*p. Suppose a*n = -2*j + 498, 0 = 5*n + p*j - 81 - 549. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 45. Suppose s + 5 = k. What are the prime factors of (-1)\/(18\/s - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 280*f**2 - 1764*f = 0. Calculate f.\nAnswer: -63, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*y**2 + 3*y + 5*y**3 - 3*y**3 + 130*y**2 - 257*y**2 in the form k + j*y**2 + l*y + c*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 2\/11 (c) 4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 34 + 2)*(-2*p + 0*p - 2*p) + (-1 + 3*p + 1)*(4 - 4 - 1))*(-2 + 1 - 2*p**3 + 2).\nAnswer: -266*p**4 + 133*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 18. Let h be m(-14). Solve 0 = 3*j - h*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4016, 8122, 12288, 16514?\nAnswer: 20800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70387854 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k + 180*k - 92*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let z = m + 2. Let o(q) = 3*q**3 - 4*q**2. Let g(u) = 5*u**3 - 7*u**2. Determine z*g(w) - 7*o(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 950, 954, 958, 962?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1921428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-47388)\/3168 + (5\/((-480)\/(-188)) - 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.17 (b) 2\/13 (c) -1\/3 (d) -0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 451*r**2 + 3*r + 24. Let i(v) = -306*v**2 - 2*v - 17. What is -5*h(p) - 7*i(p)?\nAnswer: -113*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 174. Suppose j*p = 30 - 32, 0 = -3*n + 4*p + 16. Solve -6*g + n = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -15. Let b be (-2 - (-1 + -3))\/(-2). Sort g, 4, b.\nAnswer: g, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 32681 = 3*m, 3*m + 11046 = c - 5302. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/78 + 163\/546. Let j(p) = -p**2 - 2*p + 2. Let a be j(-2). Let u be a + 3\/4 - 3. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389968, -779964, -1169958, -1559950, -1949940?\nAnswer: -2339928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.81 * -1.8875\nAnswer: 1.528875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -64*y - 32. What is the lowest common multiple of 200 and x(-1)?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + -0.23. What is the smallest value in g, 0.4, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1419*a - 363*a = 83754 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -127*u**2 + 5123*u - 11272. Determine q(38).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*j - 18 = -7*j, -5*j = -3*u - 26. Let o = -18 + 18. Sort u, -3, o in ascending order.\nAnswer: -3, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 559 + 176. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 107*d + 15503. Calculate q(118).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(75) + 2 + -4*(sqrt(75) + 2)**2.\nAnswer: -316 - 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = 5*w. Find the third derivative of -16*k**2 + w*k**6 - 2*k**6 - 2*k**6 + 2*k**2 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*h - 35*h - 12. Let i be 0\/(-2 - -2 - -1). Suppose 4*o = -i*o - 2*n + 6, -5*n = -5*o - 15. Sort o, 2, h.\nAnswer: o, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.004*3\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 534385483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36*(-20)\/2700)\/((-1958)\/165).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 9*g + 4. Let k(o) = o**2 + 13*o + 31. Let h be k(-9). Let s be y(h). Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 divided by -1?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1288547 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1763 divide 21328774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 50*a**2 - 517*a + 279. What is s(36)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -87320000 rounded to the nearest one million?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17632 - -41765. List the prime factors of n.\nAnswer: 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffh when four letters picked without replacement from {k: 3, d: 3, j: 1, u: 2, h: 2, f: 9}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7764543 divided by 3.\nAnswer: -2588181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-45)*14976\/23296\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2542 divided by 1\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -405 - -608. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7998b1 (base 14) in base 13?\nAnswer: -b1acb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2120 by 802.\nAnswer: -1060\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -2) + 12 + 1. What is the common denominator of (-2)\/(-4)*(-165)\/z and 45\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 0, 2*k - 81 = k - r. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-14))\/(20\/(-35)). Put -0.5, g, 0.5, 0.01 in decreasing order.\nAnswer: 0.5, g, 0.01, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t + 14 + 4 - 65*t.\nAnswer: -12*t + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -2 + -4)**2 + -1)*-1 + ((-6*sqrt(270))\/sqrt(6)*-4)**2.\nAnswer: 12*sqrt(5) + 25880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l*(l**(-25)*l)\/l*l**(-1\/20)\/(l\/l**(-5\/2)) assuming l is positive.\nAnswer: l**(-571\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -12. Let y be (0 + s)*(-5)\/((-120)\/(-126)). Is -0.2 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:21 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(108)*-3 + (sqrt(3) - (-1 + sqrt(3) + sqrt(3) + 1))).\nAnswer: -114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 3}. What is prob of sequence qzzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzzzf. What is prob of picking 3 z and 1 f?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 10*q - 35. Let f be y(7). Let x be (27\/(-15) - f)*40. Is x bigger than 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:51 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 10*l**2 - 28*l - 1. Calculate n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 0)*(-6*y + y + 4*y) - 1 + 1 + y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*g + 195, g + 2*l = 7*l + 65. Suppose 2*n - 3*z + 24 = 55, 5*n - g = 5*z. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -907466 - -2722426\/3. Determine j so that 56\/3 + 2\/3*j**4 - w*j**3 + 80\/3*j - 2*j**2 = 0.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38156347 is divided by 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86358 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - -0.2. Let w = -0.2 - -0.3. Let r = 15 + -16. Which is the nearest to r? (a) w (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144.905 * 650\nAnswer: -94188.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -q - q. Let v = -44 - -20. What is the common denominator of -33\/32 and (90\/q)\/((-18)\/v)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1111\/43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 41. Let y = d - -5. Find the first derivative of 5 + 21*h + 11*h**4 - y*h wrt h.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180362.\nAnswer: 2, 151, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.3 (c) -2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280839143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 1\/6*w**3 - 1\/15*w**6 + 0*w**5 + 15*w**2 + 0*w**4 + 0 - 10*w. Differentiate u(d) with respect to d.\nAnswer: -8*d**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = v - 4*l + 110, -5*l - 1 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -301132 and -301128 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20*d**3 + 1781*d**2 + 91*d + 176. Determine w(-89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 197923?\nAnswer: 593769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89998, 179993, 269988, 359983, 449978?\n\"Answer: 89995*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5569610 and 10730.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izzd when four letters picked without replacement from {i: 5, d: 4, z: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36245 by 5.\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 7*f - 3 + 1. Let s = -64 - -98. Let x = s + -30. Let y(i) = 5*i - 1. Determine x*b(z) - 9*y(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4\/6 - a**3\/3 - a**2. Let l(j) = -j**3 - j**2 + 2. Let y be l(-2). What is the units digit of q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25*1 - (2 + 0). Suppose l - g = 4*h, -5*h - 32 = 2*l - 0*l. Let i = 17 + h. Calculate the highest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Let s(u) = 2*u**2 + 90*u. Give x(s(o)).\nAnswer: 4*o**4 + 360*o**3 + 8100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-2*1)\/(-1). Let f = 0.0644 - 1.0644. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855686?\nAnswer: 2, 3, 7, 17, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 - 14768448*r + 27263382041088 = 0.\nAnswer: 3692112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*f - 3664 = -3672, -2*f - 4 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:06 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4778 - 4778. Solve -5*b + g*w = -4*w - 17, 4*b = -4*w + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.54 + 0.345. Let h = m - -0.18. Let c = h + 0.0149891. What is c rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 16*a**2 + a + 17. Let n be d(-16). Find m such that -5*m + 2 - n + 5*m**2 + 3 - 4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.5 + -109.5. What is the second biggest value in -0.02, p, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-42))\/((-1560)\/468*(3 - 2))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 6 - ((49 - (-28 - -14)) + 0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.47 - -0.07. Let j = 0.8 + l. Which is the third biggest value? (a) -4\/7 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 + 1069. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 + 49 = 5*u. Let l = 93 - u. Suppose 0 = k + 2, -4*m + 2*k + l = -0*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0981033 + 0.098. What is r rounded to six decimal places?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-242)\/5 - (-12)\/30). Suppose 0 = -2*q + u - 4. What is the remainder when q is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713420840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1118982089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -41, -57, -65, -59, -33?\n\"Answer: s**3 - 5*s**2 - 10*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7)*-1 + -5)*2 - sqrt(49)\/((1*sqrt(77))\/sqrt(11))).\nAnswer: 12*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16435 is divided by 75.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-44.3.\nAnswer: -177.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*q - 118 = 0, 0*a - 5*q + 56 = 3*a. Let c = a - 14. Which is smaller: 14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*d + 1490, -53*d + 52*d + 2235 = 3*c. Suppose -749*f = -c*f - 4868. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdkdqqq. Give prob of sequence qqd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (-46)\/(-8). Let v be k\/(-33) - 5552\/(-44). Suppose -5*y + 42 = -28. Calculate the highest common factor of v and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + 3 + -23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15957353, -15957357, -15957375, -15957413, -15957477?\n\"Answer: -m**3 - m**2 + 6*m - 15957357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2109)\/(-152))\/37)\/(2\/(-24))*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*i. Suppose -4*j - 5*k - i = 0, -k = 3*j - 2*j. Which is smaller: j or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*h**3 + 6*h**2 + 0 - 9\/2*h.\nAnswer: -3*h*(h - 3)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*j**2*o**2 - 61*j**2 + 28*j*o**2 - 23*o**2 - 1238*o wrt j?\nAnswer: -30*j*o**2 - 122*j + 28*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635*i**2 + 1242*i**2 - 32*i**5 - 603*i**2 - 78 + 60*i**4 - 9*i**4 wrt i.\nAnswer: -1920*i**2 + 1224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2514 and 7417976.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a. Let r(z) = -z. Let u(g) = g. Let y(s) = r(s) + 3*u(s). Calculate t(y(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 320*g + 3659. What is v(-8)?\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.323259 weeks?\nAnswer: 195507043200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446878279 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 + 1 - (83 + -81)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386087 is divided by 42897?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/5 + 12*k**4\/5 + 12*k**3\/5 = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (-3 + sqrt(1539) - sqrt(19)) - (sqrt(76)\/(sqrt(4)*-3) - sqrt(19)).\nAnswer: -3 + 31*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (918*b**2 + 916*b**2 + 239*b**2 + 1943*b**2 - 2279*b**2)*(-2 + 2 - 4*b).\nAnswer: -6948*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17494 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -742864\/17 + 43698. Which is the biggest value? (a) 4\/9 (b) -1\/18 (c) 1\/15 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-18)\/216)\/((-1)\/2*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2430 + -1?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-136)\/14 + (-2)\/7. Let p = q - -15. What is the tens digit of 112\/p - (-14)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*q - 27 = 0, -379 = f - 3*q - 356. Which is the nearest to 0? (a) f (b) 2\/9 (c) 48 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 38*d**2 - 18*d + 251. Is s(35) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226027848 divided by 6\nAnswer: 37671308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.99965 + -71. What is h rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33620 - 175798981\/5229. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 3*r - 1. Let q be s(-2). Suppose -a + 0*a = -q. What is the greatest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -136. Let f = 68.9 + z. Let u = 6.61 - f. Do u and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*1242\/1863.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243555 (base 7) in base 16?\nAnswer: -27985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f**4 - f**4 + f**5 + 3*f**5 - 5*f**5 + (-f**2 - 4*f**2 + 3*f**2)*(-7*f**3 + 2*f**3 + f**3) - 4*f**5 - 3*f**5 + 5*f**5 + 5*f**5 + 7*f**5 - f**5.\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2 - 4 - -2). Let b be (16 - 13)\/(1\/m). Solve 0 = -b*f + 12 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131\/4 + -32. Let i(v) = -v + 6. Let f = 20 - 13. Let d be i(f). Which is the closest to d? (a) -1 (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48351 - 5575?\nAnswer: 42665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.447163199 to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.470685 milliseconds in seconds?\nAnswer: 0.001470685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:10 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28489 + -6068. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1909 + 1963. Calculate the greatest common factor of 3294 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111001011110001000010 (base 2) to base 15.\nAnswer: 800b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 153, 110, -3, -210, -535, -1002?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750*l**3 + 226 wrt l.\nAnswer: -2250*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17063.3 + -17063. Which is the fifth smallest value? (a) 2 (b) -4 (c) 4 (d) -0.5 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 = 17. Calculate the remainder when 157 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-6 + -1 - (-10)\/2). Put k, 6, 2, 1 in descending order.\nAnswer: 6, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*6.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627341589.\nAnswer: 3, 7, 1621, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -64*y + 1280. Let z be d(13). What is the greatest common divisor of 1288 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61484 + 61484 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:01 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 31*d - 35*d - 2*b, 0 = -5*b - 5. Is 12603*(2\/d)\/((-16)\/80) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 2 (b) -0.4 (c) 12 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-3 - 3) + 1 - -14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/10)\/(2\/(-15)). Is (332\/6)\/((-8)\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8407 is divided by 910?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32 (b) 0.4 (c) -0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2207 + 1503. Let b = a - -3373. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39433.\nAnswer: 47, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 u when four letters picked without replacement from uuwuuwwwuu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 5:09 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let v(i) be the third derivative of -i**4\/24 - i**3 + 4*i**2. Suppose 6 = 2*n, -6 = g - 0*g - 4*n. Give g*r(t) - v(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 + 1 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 + 2*d - 1. Let n be h(5). Let u be 3\/n*1*-9. Which is the biggest value? (a) 2 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903483106 rounded to the nearest one million?\nAnswer: -903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3326*z**3 - 185*z**2 - 3*z + 4978385 wrt z?\nAnswer: -9978*z**2 - 370*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = -o + 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4656 to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 3*p**2 + 2*p + 5. Let d be u(4). Suppose -12*l - 750 = -6*l. Let b = l + 146. What is the highest common divisor of b and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/20 + 3*a**4\/4 - 7*a**3\/6 - 7*a**2\/2 + a. Let g be s(7). Suppose -4*z = -z - g. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*h + 136 = 346*h - 25 - 112 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) - 22\/4. What is the closest to 2 in 10, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 7*n + 11. Let u be k(8). Suppose -60 = -u*y + 255. Calculate the highest common factor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172 + 2*r - 164 - 4*r in the form a + b*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386935669 - 392.81.\nAnswer: 386935276.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 233979356 and 0.3.\nAnswer: 70193806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 15}. Give prob of picking 3 r.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.1 - -17. Let b = p - -0.1. Is b at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4176922850 to the nearest one million.\nAnswer: -4177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in -1\/4, 0.38, -2\/3, 4, 0.2, 1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/2 (c) -0.35 (d) -11 (e) -3\/122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 646073621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let j be d(2). Suppose 6404*u - 6403*u + 3 = 0. Sort -6, j, u in descending order.\nAnswer: u, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**6\/3 - 2*u**5 - 7*u**4\/2 + 2*u**3\/3 + 8*u**2 + 8*u + 33. Solve s(h) = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 49*g = 6. Let h be (4\/2 - 4) + 5. Let w(r) = -h*r + 5 + 13 + 4 - 20. Give w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/2) - 8\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -8. Let u = -0.09 + 5.09. Let z = -6418.9 + 6419. Put u, 3, z, s in decreasing order.\nAnswer: u, 3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*o + 41 - 69, 0 = 2*z - o - 43 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/547 in -15.42, -0.028, 4, 2\/15?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -91*i**3 + 2*i + 31. Let q(y) = 5*y**3 - 2*y - 2. Give m(d) + q(d).\nAnswer: -86*d**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxy when three letters picked without replacement from {m: 2, y: 1, o: 2, k: 1, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423731 divided by 2?\nAnswer: 423731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -3, 16, 17412 in increasing order.\nAnswer: -170, -3, 16, 17412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - 6*p)*(-3 - 3 + 5) + (2*p + 4*p - 5*p)*(-3 - 1 + 9).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 797595 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkdidiik. What is prob of picking 1 i, 1 d, and 2 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2 - 4*g - 4. Let f(v) be the first derivative of v**3\/3 + v + 17. What is -4*f(t) - y(t)?\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -59\/4, 0.05, -18, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -13\/638, -7 in ascending order.\nAnswer: -7, -5\/8, -13\/638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.2 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -24)\/(24\/(-108) - 13\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = i + 3, 8 = 2*t + 2*i. Let y be 7*((-132)\/(-28))\/11. Suppose 0 = -5*h, -2*q - 2*h + 4 = h. Put t, y, q in decreasing order.\nAnswer: t, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -2*a, 5*u = 16 + 9. Let g(c) = 8*c**2 - c - 1. What is the units digit of g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 36.2. Let w = -0.2 - h. Let v = 11 + w. Which is the third smallest value? (a) 1 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/(-36))\/(10\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4*1*sqrt(102) - sqrt(102))*4)\/(sqrt(54)\/(-2*sqrt(225))))**2.\nAnswer: 2720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/16243 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*h = a + 183992, -a + 5*h - 183980 = 0. Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppww when four letters picked without replacement from {j: 4, w: 2, q: 3, p: 3, m: 1, z: 4}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/1233, 3\/7 in descending order.\nAnswer: 3\/7, 2\/1233, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (1 + 0 + -1). Let d(h) = -h. Let z be d(-5). Solve -z*r + 0*i - 21 = 3*i, -10 = 2*r + n*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 2*u**2 + u + 1. Let j be r(-2). Let a be -4 - j - -5 - 0. Solve 0 = -2*x - 4 + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124654 divided by 24.\nAnswer: 62327\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 18*m**2 + 35*m**2 + 24*m**2 + 4.\nAnswer: 41*m**2 + 5*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3222 = 4*x, -4*x = -3*v + 2024 - 5242. List the prime factors of x.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 4422.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -9*d + 1160. Suppose 8*l - 80 = 4*l. Calculate the remainder when d is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*o**3 + 4*o**3 + 2*o**3)*(o + 2*o - 5*o) + 37*o - 7*o**4 - 37*o)*(4 + 3 - 3).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 + 0.01. Let y = -382.84 + 382. Let s = y + j. What is the nearest to s in 1\/5, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.31423 millilitres to litres.\nAnswer: 0.08231423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5048 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217152659?\nAnswer: 857, 253387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 150*g**2. Let b(t) = t**2 - 36*t - 4. Let i(x) = x**2 - 45*x - 5. Let v(y) = 5*b(y) - 4*i(y). Calculate w(v(u)).\nAnswer: 150*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487991 millennia in years?\nAnswer: 487.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2737, 21536, 61991, 118628, 191447?\n\"Answer: 8091*d**2 - 10828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 15*m**3 - 4075*m**2 - 47030*m + 110240 = 0.\nAnswer: -13, 2, 848\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:57 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 89. Let c be (w\/(-6) - (-20)\/(-24))*-2. Factor 0*m + 1\/3*m**c + 1\/3*m**2 + 0.\nAnswer: m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53593, -53620, -53647, -53674, -53701, -53728?\n\"Answer: -27*h - 53566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -126. Suppose 5*v = 5*t - 735, v + 728 = 5*t + i*v. Suppose t*l = 142*l. Solve 5*d - 4*j - 3 = 8, d + 4*j + 17 = l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/240 and -97\/2324640.\nAnswer: 2324640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39756896, 39756899, 39756902?\n\"Answer: 3*s + 39756893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.03, 12, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42633 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27 - 187) + -6*1. Let k = i + 211. Is k at least as big as 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -5 + -3*2*(-1 + sqrt(1300) + -2))**2.\nAnswer: -9000*sqrt(13) + 235125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q, -p + 5*q = q - 2. Let m be (-2)\/(-4) + (-7)\/p. Which is bigger: 3\/10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1\/3))\/((p*p\/p**8)\/p))\/(p\/(((p**(-2\/5)*p)\/p)\/p*p))**(-40))\/((p**2)**(-21)\/(p**1)**(-26\/7)) assuming p is positive.\nAnswer: p**(2155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**3\/6 - 2*x**2 - x. Suppose -14*w + 19*w + 915 = 0. Let o = w - -177. Calculate s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 0, 0 = 2*l - 3*l + 4*q - 17. Let t be 0\/2 + 6\/1. Let w be 2 - 1 - t\/l. Let o(n) = 12*n**2 - 2*n - 1. What is o(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8782095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w + 5635 + 42*w - 79*w.\nAnswer: 5*w + 5635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39235 or -3788?\nAnswer: 39235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -18536.03 to the nearest 100.\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -303.\nAnswer: -303, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**3 + 2*i**2 - 10*i + 10*i.\nAnswer: 30*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269533 - 187448. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 891, 3323, 7297, 12807, 19847, 28411?\n\"Answer: -g**3 + 777*g**2 + 108*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.2 (c) -4\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2. Let j(v) = -2*v**2 + 5. Let b(p) be the third derivative of -p**5\/30 + 2*p**3\/3 + 2*p**2. Let a(w) = -5*b(w) + 4*j(w). Determine o(a(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-4 + (9 - -6))) + (-3 - 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -27?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 53 + 89 + 0*f**2 + 12 + 15*f. Let l be r(17). Solve -l*s + 12*s = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmrjw. What is prob of picking 1 j, 1 r, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*v + 1026 + 105 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2 + (5 + 3 - 4)*(-2 - 3 + 3) - 1 + 1 + 1)*(-3 + 3 + n**2).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqd when three letters picked without replacement from xedxpqe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 2, x: 1, m: 8, q: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 14989?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 12*z**2 - 11*z - 12. What is n(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 0*y + 0 - 5. Suppose 0 = 4*s - 8, -3 = 2*g + s - 13. Calculate the remainder when a(-6) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let i be 365\/20 - 1\/k. Suppose -5*q + 2 = -i. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 245, 969, 2175, 3863, 6033, 8685?\n\"Answer: 241*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12455 + -12454.8. Suppose 3*b - 2*b = 12. Let k be 6\/9*(-2)\/b. What is the nearest to 1\/3 in k, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 39 - 3*y + 0*y + 61.\nAnswer: -3*y + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33372, 66734, 100100, 133470, 166844, 200222, 233604?\n\"Answer: 2*j**2 + 33356*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267295688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22297204 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -115, -150, -185, -220?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + 1 + -5. What is the units digit of 24*(-3 - 14\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 36*u - 182. Let f(j) = -70*j + 360. Let o(v) = -3*f(v) - 7*k(v). What is the thousands digit of o(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 58*y = 67*y - 122*y + 26, 0 = -5*a + 9*y + 38 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:55 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4\/4 - 15087*k**3\/2 + 75721455*k**2\/4 + 189990711*k + 171052803 = 0. What is k?\nAnswer: -9, -1, 5034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4618 (base 9) to base 4.\nAnswer: 311123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -141?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000247955778 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31204 divided by -29.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/145 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 - 233.9971. Let p = h + 0.0471. Round p to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*r. Suppose r*w - 7 + 1 = 0. Suppose -w*d = 3*q - 21, 0*q - q = -3*d + 37. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35400 (base 6) to base 12.\nAnswer: -2b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2 + 2)*((-3 + 0 + 1)*(-g**2 + g**2 + g**2) - 2*g**2 + g**2 + 4*g**2).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111613376, -111613375, -111613374, -111613373?\n\"Answer: g - 111613377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let w = -12 - -16. Suppose w = n*h - h, l + 2*h - 11 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose -2*k + 6 = i, -6*k - 5*i + 18 = -g*k. Suppose -5*z = -k*z + 3. Sort z, 0, -3 in increasing order.\nAnswer: -3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612620 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 21, 14, -1\/3, -0.2 in descending order.\nAnswer: 21, 14, -0.1, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4\/(-9)*(-153)\/(-1870)*-5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 330 + 33364?\nAnswer: 34024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -19\/2, -17, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 503 - 254. Suppose -228 = -7*t - u. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.093 - 0.007. Let y = -3 - k. What is y rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 12 - 0. Sort 2\/9, -4, 4, j.\nAnswer: -4, 2\/9, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215041 (base 7) to base 16.\nAnswer: -937f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, 23, 3, -5, -4 in ascending order.\nAnswer: -26, -5, -4, -2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h)*(0*h**3 - h**3 + 0*h**3 - 7*h**2).\nAnswer: -2*h**4 - 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 112, -2\/3, -8, -309?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 23*k + 24. Let l be d(24). Suppose 5*s = -l*i + 3*i + 5479, 0 = s - 2. Let z = 3142 + i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/10)\/(-2)*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**3 + 22*s**3 - 39*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-34)*13)\/((72\/16)\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose -i - 5 = k*x - 14, 9 = 4*x - i. Suppose -c + 5 = x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/255)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:25 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/1257 and -82\/33.\nAnswer: 13827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*(-20)\/30 + (-1116)\/(-214). Is h at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:34 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -67, -84, -81, -52, 9, 108, 251?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37618137 divided by -4179793?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Suppose -2*u - 4 = -10. Let z be u*5\/(-4 + 9). Calculate the highest common factor of s and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38528067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 16. Let u = 9 - r. Is 14 a factor of (-5 - u)\/(4\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4123379 and 37093.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 205\/14?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/10 + q**4\/12 - 26*q. What is the third derivative of y(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1057643 and 4.\nAnswer: 4230572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38107962 by 4234218.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(1 + 12 - 9)*(c - 3 + 3).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29727 and 6723?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*2\/(-3))\/((-7)\/(-14)). Let u be -1 + (-4 - (-4 + 2) - q). What is the closest to -32 in -0.1, 2, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -6, -4, -0.4 in increasing order.\nAnswer: -170, -6, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 + 0 = 0. Put 14, k, 4 in ascending order.\nAnswer: k, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6 = 3*h. Suppose -8*v + 15*v = 35. Put 2, -19, h, v in decreasing order.\nAnswer: v, 2, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {f: 3, b: 2, t: 7, m: 5}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (48 + -15 + 65 - 15)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2115*n + 3053*n - 47838 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172535, 345069, 517603, 690137, 862671, 1035205?\nAnswer: 1207739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0, 221 in descending order.\nAnswer: 221, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 164000000 to the nearest 1000000.\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkkkknnk. Give prob of picking 3 n and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f - 23*f**2 + 35*f - 58*f + 26*f**2 - 32*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 1\/28*t**4 + 1\/21*t**3 - 2\/7*t**2 - 4\/7*t + 6. Let c(d) = 0. What is d?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-18)\/(-1080)). Let i be o\/75 + (-2)\/(-5). Let q(h) = i*h - 2*h - 12 + 2*h + h. Calculate q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:47 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*b**3 + 749*b**3 - 1478*b**3.\nAnswer: 69*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 13*l = -52 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9556712, -9556727, -9556750, -9556781, -9556820, -9556867, -9556922?\nAnswer: -9556985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + 24\/14. Suppose 5*o + 20 = 5*l - 30, u*l + 4*o = 50. Let m = 74 - l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127b57 + -5?\nAnswer: 127b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y**3 - 20*y**3 + 8*y**3 + 3*y**2 - 21*y**3.\nAnswer: 21*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4 + 3105*b**3 - 507570*b**2 + 7879180*b - 19152840 = 0?\nAnswer: 3, 14, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**4 - 35*g**4 + 0*g**4 + (-4 + 1 + 2)*(-2*g**4 + 2 - 2))*(2 - 3 + 0)*(-1 + 3 + 5).\nAnswer: 140*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18439, -2, -0.2.\nAnswer: -18439, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879147413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**6 + 13101*n**4 - 1787*n**3 - 11*n**2 - 50203*n + 103?\nAnswer: -480*n**3 + 314424*n - 10722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10116 + -10212. Which is greater: l or -101?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5833 and 1843.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7810\/9 - 530783\/612. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*f + 60 = 0, 0 = 4*w + 36*f - 39*f - 75. Solve -5*d + w - 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34735 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183778727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = 3*p. Let o(n) = 370*n**2 + 4*n - 3. Let y be o(1). What is the least common multiple of p and 40\/22 + 5 + y\/(-77)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:09 AM?\nAnswer: 380","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -469, -470, -471?\n\"Answer: -z - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let f = -13.2 - -12. Let t = 0.8 - f. Which is the biggest value? (a) -0.5 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/12)\/b)\/b*b)**35*((b**(-1\/36)*b)\/b)**(7\/4) assuming b is positive.\nAnswer: b**(-7147\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1199 - 35)*28\/6. Let k = -2827 + d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from knkjnnjjjnjjnnnnnj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**4 + 11*y**3 - 5*y**2 - 8*y + 5. Let c(j) = -j**4 + 5*j**3 - 2*j**2 - 4*j + 2. Let t(p) = -5*c(p) + 2*w(p). Solve t(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/3647 and 35\/233626299.\nAnswer: 1635384093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6601 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*r + 1015*r - 761*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 18?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -1 + -3 - (-4 + 0). Let f(s) = 29*s - 10. Let l(k) = -29*k + 10. Let a(y) = 3*f(y) + 2*l(y). What is the tens digit of a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3153, 146, -5 in decreasing order.\nAnswer: 146, -5, -3153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r - r. Let w(q) = -q + 3. Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-2))\/(-2))\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + r + 1\/2*r**2 + 1\/6*r**3 + 1\/12*r**4. Let c be p(0). Solve -3*b - 11 = 2*f, -3*b = f + c + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34640 - 15795. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126558650 rounded to the nearest one hundred thousand?\nAnswer: -1126600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/9 (b) 1 (c) 1\/7 (d) 1599 (e) -4 (f) 15 (g) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 8:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-209875)\/(-292))\/115*(-1)\/(((-5)\/12)\/5)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151614 rounded to five dps?\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/15 + 1)*3. Let w be (60\/(-35) + (-6)\/21)\/x. Suppose -f - 4*f - 35 = 0. Sort f, -1, 0, w in descending order.\nAnswer: 0, -1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -29465 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 + 6\/8. Let n be 1\/3 + (-80)\/(-12). Solve -n - u = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753250?\nAnswer: 2, 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*z**3 + 222*z**3 - 446*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 18. Suppose 5*w = -3*x + 30, -3*x + 0*w + 4*w + 30 = 0. What is the remainder when m is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 190. Calculate the highest common factor of d and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89922023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146.7 + 1.7. Let k = a + 142. What is the third biggest value in k, 5, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g - 20*g + 109 = -262 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 3748595*x**2 - 702592600775*x + 2107811539815 = 0. What is x?\nAnswer: -374861, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*i + 1038 = 22*i - 1566 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127699 is divided by 42371?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14366598 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-7) + 2\/7. Let t be i\/(-9)*3\/(-5). Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*y + 12, 5*y = j - 4*j + 7. Let z(m) = -4*m**3 + 1. Does 5 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08999979 + -0.09. What is r rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + x**2 - 2*x**3 + x + x**2 - 1. Suppose 0 = -11*f + 20 + 68. What is the smallest common multiple of r(2) and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*i - 0*s - 5*s - 30, s - 26686 + 26711 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30.666664645 and -0.063.\nAnswer: 30.603664645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 238433587 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*u + v - 11, 5*u + 2*v - 26 = 0. Solve 0 + u = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 4, h: 3, b: 2}. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/21 + (-2)\/(-6). Suppose -713 = -m*p - 3*p + d, 580 = 4*p - 4*d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**8*x*x\/((x*x**7)\/x*x)*x*x)\/((x*(x\/x**2)\/x)\/(x*x**9*x*x*x))*(x**(-2\/11))**(5\/14)*x**6\/(x**7*x) assuming x is positive.\nAnswer: x**(1381\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1702*a - 1690*a - 192. Solve 14 = 2*t - a*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 892415*o**3 + 12*o**2 - 47369878 wrt o?\nAnswer: 2677245*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 9. Suppose 0 = n - g - 18, -g = -4*n + p + 72. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 115*h + 4316. Let g be b(-36). What is the highest common divisor of g and 3056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + -8 + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djx when three letters picked without replacement from hxddj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 - 5*m - 1. Let a be -3 + 1\/1 + -2. Is x(a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 17*o = -751. Suppose a + 0*d + 3*d = 241, 3*a - o = 5*d. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/3)*b)**21)**(-3))**(-22) assuming b is positive.\nAnswer: b**2310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22)\/r)**(-44) assuming r is positive.\nAnswer: r**1012","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 2\/15, 3\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m. Let c(w) be the third derivative of -w**5\/20 + 21*w**2. Determine c(z(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s + 19*s**2 + 25*s - 12*s + 0*s**2 + s**2.\nAnswer: 20*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362 + 367. Calculate the remainder when m is divided by (-1)\/6 - 14\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*q + 3*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:56 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30977099 is divided by 596.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w + 2. Let j be i(2). Solve 4*q - 4*c = 8, 0 = 3*q - c - 0*c - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -0.03 (c) -0.5 (d) 20194 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -38\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-4)\/(-30))*62\/93. Let j(g) = -4*g**3 + 4*g**2 + 7*g - 6. Let l(o) = -3*o**3 + 3*o**2 + 5*o - 4. Give s*j(k) + 7*l(k).\nAnswer: -k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (13 + -22 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 1 (c) 7 (d) -228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 + 2*l. Suppose -9*k + 6 = -10*k. Let c be h(k). Suppose -2*u + c = u. Solve 5*r = -2*d - u, -2*d = -2*r + r - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 3)*(0 + 2*n + 0)*(-4*n**2 + 5*n**2 - 2*n**2) to the form d*n**2 + v*n + j + s*n**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1194*k + 0*k**3 + 9*k**2 - k**3 - 9 + 1184*k. Let f be l(6). Calculate the greatest common factor of 273 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 2, c: 1, j: 3, w: 1, y: 1}. Give prob of sequence ib.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 407275402 to the power of 1\/3, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200))**2 + 4 - sqrt(200)) + -5 + sqrt(192)\/(sqrt(30)\/sqrt(245)).\nAnswer: 18*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*f - 54 - 23, -119 = -5*f - y. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 10*p**2 - 23*p**2 in the form r*p**2 + t*p + q and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 39900*h**3 - 79791*h**2 - 199496*h + 239388 = 0. Calculate h.\nAnswer: -2, 1, 3, 39898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(432\/56 - 8).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/7 + 598406*w**2 + 75399642*w\/7 + 339299118\/7 = 0.\nAnswer: -9, 2094439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 45 - 2*t + 45. Let l(j) = -3*j**2. What is u(l(b))?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13111 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -0.45, 0.01, 3, 0.8?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m + 6*m**5 - 4*m**3 - 9*m**5 + 4*m**3 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - 559*w + 1679. What is o(3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 17*t**2 + 8*t + 7. Let i be v(-8). Solve 4*k = u + i, -2*k = -4*u - 7*k - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/20*8\/(-18). Let l = 1.2 + 2.8. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 3:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 156*s**2 - 18*s + 17. Let u be n(1). What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26766 and 20818.\nAnswer: 187362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -20. Calculate the lowest common multiple of -2*30\/(2 + -7) and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*k**5 + 71860*k**3 - 7*k**2 + 187766*k - 12.\nAnswer: 380*k**3 + 431160*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -326, -351, -396, -467, -570?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/22*504\/28.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1438 - 1404. What is the remainder when 916 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 29.\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530*v - 465*v**2 + 46*v**3 - 400 + 21*v**3 - 32*v**3 = 0. Calculate v.\nAnswer: 2\/7, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31057?\nAnswer: 13, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:15 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -568 - 23?\nAnswer: -58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 723165, 723543, 724569, 726567, 729861, 734775, 741633?\n\"Answer: 54*a**3 + 723111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 4, -1\/6, -1, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 0.089?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h. Let w(g) = g. Let v(s) = 11*w(s) + 2*x(s). Suppose j - 4*b - 109 = -2*j, 3*b = -3. Let i(y) = -22 - 13 + j - 8*y. Calculate v(i(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314724, -629451, -944178?\nAnswer: -1258905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88c4abc - 5?\nAnswer: 88c4ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 5*o**2 + 10*o**4 + o**2 + (0 + 2*o**3 + 0)*(-5*o + o + 3*o) - 9*o**3 + 9*o**3 + 6*o**4 to r*o + h + p*o**2 + x*o**3 + d*o**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 6. Is 5 a factor of d\/1*20\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-18))\/(24\/(-18)). What is the nearest to -11 in -4, 5, p, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q - 18. Let k(u) = -8*u + 19. What is -6*i(x) - 5*k(x)?\nAnswer: -2*x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3843937 to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 11 = j, j + 6 - 8 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2452 + -2463. Let z = -1 - -0.9. What is the biggest value in 1, 4\/7, f, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and -5693060995.\nAnswer: -5693061039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qkjkjjjqqkjsjkkj?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - z - 2 = 4, -3*n - z + 8 = 0. What is the lowest common multiple of 3 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -3 (c) 0.9 (d) -1\/3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27266409?\nAnswer: 3, 29, 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**26*l*l)**(-37)\/(l**22\/l**(-40)) assuming l is positive.\nAnswer: l**(-1172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -13 + 171\/19. What is the nearest to 25 in -1, 0.4, -1\/2, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16366 + -16372.993. Let i = 7 + s. What is i rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q. Suppose -117 = 183*n - 186*n. Calculate the remainder when n is divided by a(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -19. Solve 5*r = -s - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 319*b - 3 + 269*b - 7 + 481*b in the form a*b + p and give a.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 282*p + 4*p**2 + 283*p)*(0*p + 3*p - 5*p).\nAnswer: -18*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69813 - -158845. What are the prime factors of o?\nAnswer: 2, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 6*i**4 + 2*i**4)*(-11*i - i - 3*i + (-3 + 2 + 0)*(-4 + i + 4)).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {b: 2, z: 5, y: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 + 7*f - 132. Calculate p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, -1 in ascending order.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k**5 - 185120*k**4 + 170454842*k**3 + 1654208276*k**2 - 682131968*k + 68894720 = 0. What is k?\nAnswer: -10, 1\/5, 1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*s - 447 - 686 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336026647 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67051 - 95761. What is u rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2881921 + -3156?\nAnswer: -2885077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33329537?\nAnswer: 17, 73, 107, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**2 - 162*q - 5. Let t(p) = -14*p**2 + 157*p + 3. Calculate -3*t(g) - 2*v(g).\nAnswer: 16*g**2 - 147*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2950 = 9*t - 11*t - 5*k, -2*t + 3*k + 2902 = 0. Calculate the greatest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-3))\/((-3)\/6). Let x = 0 - p. Is 4 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -739 + 785. Solve -5*n = s - 51 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 603 + -600. Let y(k) be the second derivative of -5*k + 0 + 0*k**2 + 1\/6*k**m. Let j(o) = -2*o**2. Determine j(y(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*a**2 + 24*a - 205*a**2 - 3*a**3 - 209*a**2 - 216*a**2.\nAnswer: -3*a**3 + 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 197293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-5))\/(-11 + (-31331)\/(-2850)). Solve -14*h = h + p for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*(-2)\/(-21)*-2. Suppose 0 = -5*c + m - 7 - 2, 7 = 5*c + 3*m. What is the nearest to c in 3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*z = 10, 2*z = -0*z - 10. Solve 5*d - 5 + 25 = y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooomm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212279773.\nAnswer: 367, 578419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((29302\/343)\/(-46))\/((-8)\/14))\/((-2)\/(-8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78774 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -23 - -24) + -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Let r(s) = 0*s - 1 + h - 2 + s**3 - 2*s + 3*s**2. Give r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvy when three letters picked without replacement from vvtmvmy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2431*l**2 - 774*l**2 + 57*l**3 - 822*l**2 - 800*l**2.\nAnswer: 57*l**3 + 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/3)\/((-546)\/(-468)). Solve -3*r = j*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*f - 3 = -555*f - w, -2*w + 7 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 149 - 9628?\nAnswer: -948a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**4 - w**3 - 32*w**2. Let l(d) = -d**4 + d**3 + d**2. Let u(s) = -5*l(s) - n(s). What is the third derivative of u(b) wrt b?\nAnswer: 48*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 163?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3287386349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) 3401609 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -217, -1472, 2.\nAnswer: -1472, -217, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, -1, -0.8, -11, 115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meefeeeeeeeefefemm. Give prob of picking 2 m and 1 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 334344985 divided by -66868997?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f. Suppose 5*n + 10 = 0, 4*n = 4*t - 17 + 5. Let z be (3 - 5) + (-4)\/t. Let m(g) = 5*g. What is z*o(h) - 7*m(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + (-9 - -61 - 26) + 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = 336. Suppose z + 2*z - j = 0. Let w = 0 - -15. Calculate the remainder when z is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 - 2*l**2)*(8 - 20 + 8 - l)*(0*l - 12 - 2*l + 14).\nAnswer: -2*l**4 - 6*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3\/2 (c) 63 (d) 0.5 (e) 0.0472 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -18. Suppose q = 2*b - 5. What are the prime factors of (b\/10)\/(6\/15) - -104?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 - 5*y. Let s be 6\/(-2) + (-9)\/(-1). Calculate the remainder when z(s) is divided by 12 - (-4 + 1)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -2, 34, 110, 238, 430?\n\"Answer: 2*y**3 + 2*y**2 - 12*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 325724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7955 and 1591?\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c317 - 4a?\nAnswer: -4c364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 69455 = 34*c - 935569. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*y - 2*m + 3*m, 2*y + 5*m - 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:36 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = -2*j, 0*b - 3*b + 26 = 4*j. Suppose -j*m = -25, 2*y + y - m + 20 = 0. Let k = y - -14. Solve k*l - 4*l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20150000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17 - y**2 + 4*y + 3*y + 5*y + 0*y**2. Let d be t(7). Suppose -3*w + h = -d, -6*w + 4*h + 30 = -w. Solve -o = -w*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 4\/27, -131, 0, 2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177.280605 rounded to one decimal place?\nAnswer: 2177.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206655 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -8\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (4 - -13)) + 32 + -2 + -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:18 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 10:56 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 7*d - 240 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*i + 1834 - 1595 + 65*i + 36*i wrt i?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 229 = -96. What is the greatest common factor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 42961261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - (6 - ((26 + -45 - -22) + -5 + -1)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 - -160. Suppose -z + 3*b + 488 - 110 = 0, 1452 = 4*z + x*b. What are the prime factors of z?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by (11\/5 - 2) + 4416\/120?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48251, 48249, 48247?\n\"Answer: -2*r + 48253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - 2a3?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 7. Let t = 2 - k. What are the prime factors of t\/12 + 20\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 347602.\nAnswer: 1390408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -383 - -640. Suppose 2*b + s - 1255 = 0. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 48*y - 428. Calculate d(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38396\/7245 - -1\/2898. Let n = -152 - -381\/2. What is the common denominator of n and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2736.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 3, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-25)*k)\/(k*k**15*k)*k**25\/(k**25*k) assuming k is positive.\nAnswer: k**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t - 1. Let u(m) = 7*m. Let n(x) = 5*p(x) + 4*u(x). Let b(j) = -j**3 - 10*j**2 + 10*j - 16. Let g be b(-11). Is n(g) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/3808*-34*(-20)\/(-7)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305337.\nAnswer: 3, 17, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2193 + -2190. Let s be 2\/(-5) - (-9)\/(-15). Sort 0, j, s in descending order.\nAnswer: j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c = 35. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6399 * 1\nAnswer: -6399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**2 - l. Let d(u) = -7438*u**3 - 112*u**2 + 7*u + 1. Determine -d(g) - 7*i(g).\nAnswer: 7438*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*u**4 - 15*u**3*y - 37*u**2*y - 6418867*y wrt u.\nAnswer: 76*u**3 - 45*u**2*y - 74*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 + 129 = 42*t. Which is bigger: t or -15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/3*54\/12. Let v = m + 652. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6869 + -41. List the prime factors of l.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2150*w + 2115*w + 4*w**2 - 2*w**2)*(1 + 0*w + 2*w + 1).\nAnswer: 4*w**3 - 66*w**2 - 70*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6898594 days in nanoseconds?\nAnswer: 59603852160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*u**3 + 2*u**2 - 18*u.\nAnswer: 480*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654927.\nAnswer: 3, 7, 13, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-137840)\/(-64) - (4\/(-16))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34204.\nAnswer: 2, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 4. Let c be a(-2). Suppose 353 = 3*w + 5*o, o - 625 = -c*w - 5*w. Calculate the remainder when w is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*k + 4. Let b be 0\/((k - 0)\/(-3)). Let j(q) = 3*q + 3*q - q + b*q. Let y(i) = i. Give j(y(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -161. Find the third derivative of -y**i + y**4 + 36*y**5 - y**2 + 16*y - 15*y wrt y.\nAnswer: 2160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -0.1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = u - 35677004, -38432171 = -u + 4*h - 2755175. Round u to the nearest one hundred thousand.\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8)*10\/(-15). Let r(v) = -3*v**2 + 80*v + 37. Let o be r(27). Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44529 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*f + 2*t, -f + 3*t = -t - 11. Let d(x) = -10*x**2 - x. Let w be d(-1). Let k = -7 - w. Sort f, k, 0 in descending order.\nAnswer: f, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:08 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/6, -11, 6, 0.0526?\nAnswer: 0.0526","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from pblpxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -674, -974, -1222, -1400, -1490?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/12 + 2*c. Let q(s) be the second derivative of 0 + 4*s + 0*s**3 + 0*s**2 - 1\/2*s**4. Calculate f(q(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36239, 72594, 109047, 145604, 182271?\n\"Answer: b**3 + 43*b**2 + 36219*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 62, 91, 120, 149?\n\"Answer: 29*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 222920456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 333 and 331 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0*m**2 + 2*m**3 + m**2 + 2*m + 1 - m**3 - m. Let z(a) = 2 + 2*a + 1 - 6*a. Let v be z(2). Let b(k) = 4*k**3 + 5*k**2 + 4*k + 5. Give v*r(d) + b(d).\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5 - 15. Let s be (6\/(-5))\/(3\/(-10)). Let y be (-14)\/7*-2*s. What is the highest common factor of y and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjqqbjgjjqqybqqj. What is prob of sequence bg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -m + 76494, 50 - 20 = 5*n. What are the prime factors of m?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxnv when four letters picked without replacement from {n: 2, i: 3, x: 3, v: 1, d: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 29202012?\nAnswer: 58404024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65160601264 + 4?\nAnswer: 65160601301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*h - 2*h - 408 = 0, -2*h + 236 = 3*l. Suppose 78*o - l*o = -52. What is the least common multiple of 32 and o?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3)*c*(c*c*c**(-9))\/c)\/((c*c*((c\/((c\/(c\/(c*c**3)))\/c))\/c)\/c)\/(c*c\/c**(-5))) assuming c is positive.\nAnswer: c**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 45674*c**2 - 274098*c + 411174.\nAnswer: 2*(c - 3)**2*(c + 22843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25593523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.51 (b) -0.4 (c) -0.2 (d) 41 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:56 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*u**2 - 96*u**2 - 98*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12 and 67\/588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 15 - (0 - -2) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/3 + 2618*f**2\/3 - 393254*f\/3 + 5249418 = 0.\nAnswer: 83, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*o - 75*o - 50*o)*(o + o - o) to i*o**2 + m + b*o and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 j when four letters picked without replacement from {i: 2, b: 2, m: 3, j: 6, l: 1}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2*m**3\/3 - 2. Let s(d) be the third derivative of 0*d**4 + 1\/60*d**5 + 2*d**2 + 0 + 0*d**3 + 0*d. Calculate s(a(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/46))\/(z\/(z\/z**(1\/53))))**19 assuming z is positive.\nAnswer: z**(44441\/2438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/358935 - 497726\/502509. Let v = 971\/765 + -4\/85. What is the common denominator of v and p?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 2056 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 853895.4 meters?\nAnswer: 853.8954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*f - 86*f + 500. Let k = 151\/5 - 31. Put 0, 4\/5, f, k in descending order.\nAnswer: 4\/5, 0, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3065 (base 8) to base 13\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)*r*r\/(r\/(r\/r**(-1\/8)))*(r*r**(2\/21))\/(r\/(((r*((r**(-6\/5)\/r)\/r*r*r)\/r*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(437\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.5, -2.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u - 5*a + 150 = 0, 2*a = 5*u - 164. Suppose -36*j = -u*j. Solve j = -l - 5 - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7009561 divided by 6?\nAnswer: -7009561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261 - -154. Let o = m - -140. What is the remainder when 194 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6913, 6924, 6935, 6946?\n\"Answer: 11*x + 6902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 102*i**3 - 2737*i**2 + 7512*i - 4876 = 0 for i.\nAnswer: 1, 2, 46, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -110.2\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 6. Give w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 1309*s**3 - 1310*s**3 - 129 + 245.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1037, -2071, -3105, -4139, -5173?\n\"Answer: -1034*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 25*s - 204. Let x be t(8). What is the third smallest value in 0, 4, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/9792 and 43\/1360?\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -110*n - 496 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37754 - -63411. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -140, -1\/5, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 4*a + 14. Let y be n(-5). Let p be (y - -4) + (4 - -1). Solve -21 = -3*f - 0*w + 3*w, p*f - 4*w = 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1221 - -6?\nAnswer: -121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by -319.\nAnswer: -155\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 526 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7392 - -7402. Solve 100 = 10*n + r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10049\/5 - 2010. Let v = 18\/13 - 100\/91. What is the nearest to v in -4\/5, n, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6559 divided by 184\nAnswer: -6559\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h + 19. Let v be p(2). Solve 1 + v = 5*c + d, 0 = 4*d - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/392 and -71\/3528.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.3, 1\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254874043 to the power of 1\/3, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/8)\/(2\/(-4)). Let d(q) = 130*q + 1. Let u be d(j). Is 4 a factor of ((-4)\/(-6))\/((-2)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10173097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1673*x**5 - 36*x - 11*x + 46*x + (x + 1 - 1)*(-3*x + 3*x - 2*x**4).\nAnswer: -1675*x**5 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5766 - -0.2766. Let m be -2*2\/4*1. Let l = 1 + m. What is the nearest to 1 in 1\/2, l, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Suppose p + p = -18. Let v = p - -5. Which is the biggest value? (a) -2\/11 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4394000\/3 + 260*o**2 - 33800*o - 2\/3*o**3 = 0.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1032*p. Let r(m) = 2768*m**2 + 2*m. Determine r(a(h)).\nAnswer: 2947986432*h**2 + 2064*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 21 = -5*u, -5*u + 3*s + 41 = 28. Suppose u = j, j - 395 = -4*x + 3046. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l**2 - 33*l**2 + 52*l**2)*(-3*l**2 - l**3 + 3*l**2) + (-2*l**2 - 3*l**2 + 3*l**2)*(1 - 3 + 1)*(-4*l**3 + 2*l**3 + 4*l**3).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 2, z: 2, b: 2}. Give prob of sequence zw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/540)\/((-8)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {z: 5, r: 1, g: 7}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0, -4, 6348, -197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8, 2*h - 306 = -4*g + 3*h. Suppose 9*z - 5*z = g. Which is greater: 23 or z?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -1.46223?\nAnswer: 0.877338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-5))\/(1\/(-35)) + (5 - 11). Suppose 2*i = -2*t + 32, 2*t - 20 = -i - 0. Solve -18*y = -z*y - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, 1 i, and 1 t when four letters picked without replacement from aiitammt.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 + 193967*h**2\/4 - 37623197089*h\/8.\nAnswer: -h*(h - 193967)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16629 - -16629. Solve v = -67*h + 77*h + 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2600 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -11. Sort 0, u, -4 in ascending order.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.17 (b) -503 (c) -50 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggtgfgfgdgg. What is prob of sequence gd?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 23736641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16610314170 - -16610355188.0600075. Let u = y - 41018. Let f = -0.06 + u. What is f rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 75*g + 35*g)*(3 + 6 - 11) - 3*g + 20 - 20.\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 1. Let d(n) be the second derivative of -1\/6*n**4 - 36*n + 0*n**3 - n**2 + 1. What is -3*d(r) + 4*t(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671 divided by 81.\nAnswer: -671\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4359215184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3 and 295\/245 + (-2)\/(-14)*-1.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s - 6. Let d be m(-5). Suppose -4 = 2*v - r + 2*r, 0 = 3*v + 2*r + 8. Suppose 9*i - 5*i = v. Is i bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -379792*m**2 - 354603*m wrt m?\nAnswer: -759584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 488756624683\/555314760 + -9612611\/10920. Let j = -50\/603 - w. Let g = j - 3\/22. Which is the second smallest value? (a) 0.1 (b) -5 (c) g (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1 + 3*n - 5*n + 1. Let s(o) = -7*o**2. Calculate s(y(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293571140?\nAnswer: 2, 5, 181, 81097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 0.2. Suppose 41*t - 44*t = -108. Let y be (12\/t)\/((-2)\/(-30)). What is the third smallest value in m, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6 - (2 + 5 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -336950\nAnswer: -3\/168475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 346 = -6*v - 120 - 171, -5*h + 2*h - 41 = -2*v for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*n**2 - 1\/2*n + 1.\nAnswer: -(n + 1)*(3*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28*(-16)\/(-616)*11. Solve 0 = -5*z - 2*a + b + 14, a - 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8637, -34277, -76997, -136803, -213701, -307697, -418797, -547007?\n\"Answer: -v**3 - 8534*v**2 - 31*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 + -16.15. Let f = k - -21. Let m = 3.97 + 0.03. Which is the third smallest value? (a) f (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24872.32 millennia?\nAnswer: 24872320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -24*w**2 + 4. Let n(x) = 1. Give 4*n(a) - v(a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -17940\nAnswer: -3\/2990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = -v + 3*k, 5*v + 1603 - 16 = -2*k. Let y = v + 322. Solve 0*i - i = -4*c + 17, -y*c + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115\/3 + 83\/6. Let s = 1327\/54 + w. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wumcicu. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 + 13*g**2\/2 - 11*g + 21. Let w be y(-12). Let s = 13 - w. Solve 11 - s = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) 0.01482899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100222 or 100221?\nAnswer: 100222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1333358 - -16.94037.\nAnswer: 17.0737058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 3 - 1 - (175 + -169)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1738574 + -22?\nAnswer: -1738606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3049, 3053, 3061, 3073?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpbpbpkpppzppppzppb. What is prob of sequence kz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -40*w**3 - 25*w**2 + 25*w + 25. Suppose -17*i + 7 = -95. Let h(z) = -10*z**3 - 6*z**2 + 6*z + 6. Give i*g(d) - 25*h(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 4*l + 17. Suppose -6 = -2*d, d = 34*b - 39*b + 13. Determine i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108439.\nAnswer: 4108439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3*u + 262. What is w(0)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 58.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -3*z**4\/4 + 2*z**3 + 12*z**2. Let n be q(6). Let w = n - -141. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 563.31 + -482.4. Let x = -1860 - -1935.9. Let p = x - l. What is p rounded to 1 dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3141*p**2 + 6289*p**2 - 3148*p**2 - 198*p**3 + 6 in the form h + j*p + o*p**2 + k*p**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -64*i + 2. Let v = 1 - 4. Let g be h(v). Suppose -2*q + 0*q = -g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -754666.\nAnswer: 1\/377333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -10 - (6 - 2) - 6 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17266.35 and -38.\nAnswer: -656121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:12 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.26, 2, -0.0287, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 12372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114 and -54131.5.\nAnswer: -6170991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - v**3 + v**3)*(-v + 3 - 3) + v**2 - v**2 + v**4.\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32*c**3 + 14*c**2 - 15*c - 8. Let d(h) = h**3 - h**2 + 2*h. Let a(k) = -3*d(k) - g(k). Let s = -8 + 3. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by -33389\nAnswer: -256\/33389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(f + 2*f - f) + 3*f + 0*f - f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7)**(-3\/13) assuming q is positive.\nAnswer: q**(-21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d7 (base 16) to base 6.\nAnswer: -14251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*z - z - 1, -3*z - 3*s - 15 = 0. Let h be 2 + (-2 - z) - -2. Suppose l - h = 4*l. Is -2\/11 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = 34. Let u(f) = -2*f - 21. Let k be u(q). Suppose 0 = -5*w + 43 + 122. What is the highest common factor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*21\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)\/sqrt(4))\/sqrt(6) + -5*(((sqrt(3) + sqrt(9)\/sqrt(3))**2 - sqrt(3) - sqrt(3)) + -3).\nAnswer: -45 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 802*q**4 - 3*q**2 - 6*q**3 - 799*q**4 - 4 + 5*q**3 + 4 + 1 as k*q**4 + t + o*q**2 + i*q + g*q**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {r: 1, t: 1, j: 2, o: 2, m: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 11*y = 7*y. Suppose 3*t - 3 = y, a = 3*a - 4*t + 12. Suppose -8 = 5*g + 17. Sort a, g, -2, 5 in decreasing order.\nAnswer: 5, -2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) -112 (d) 0 (e) -0.3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195898 = -130*t + 29522. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5. Let r(k) = -6. Let f(p) = 6*r(p) + 7*s(p). Suppose 0*o - 25 = 5*o. Let d(t) = t - 3. Give o*f(i) + d(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000608295558 rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 439, -1, 2 in decreasing order.\nAnswer: 439, 167, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9*s**5 + 6023436*s**4 - 1343771014320*s**3 + 99927889091326800*s**2 - 66617995497774000*s = 0.\nAnswer: 0, 2\/3, 223090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 6a?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201033 (base 6) to base 13.\nAnswer: -22566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*p**4 - 12*p**4 + 0 + 1 - 4*p**4 + 5*p**4 + 0*p**4 + (0 + 5 - 3)*(0*p**4 - 2*p**4 + 3*p**4).\nAnswer: -84*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 5*a - 10. Let h(l) = l**3 + 30*l**2 + 2*l + 65. Let i be h(-30). Let q be o(i). What is the highest common factor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1308)\/545)\/(8\/40)*1\/(-87)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -15. Solve 2*t = 4*r - t - 4, -2*r = t - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 141979?\nAnswer: -326551.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/5, 0.2, -16 in ascending order.\nAnswer: -16, -0.5, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 3*5\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-20)\/225)\/(-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 23*z**2 - 10659*z + 245162. Determine f(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 + 1088 = 33*m - 96. Suppose -p = p - 96. Suppose 0 = 47*k - p*k + m. What is the highest common factor of 188 and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/163 - -5973\/2119. Let y = z - 1609\/546. Let f = 45685\/154 - 2103\/7. What is the common denominator of y and f?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-15)\/7) + -3. Which is the nearest to 0? (a) 1\/4 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6172112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, -4*v - 15 = -4*i - 9*v. Suppose -3*j + i = -2. Is (-1 - 2)\/(j\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6219933?\nAnswer: 3, 31, 47, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 8) to base 11\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:34 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + w = 3*l - 4, -2*l + 3*w + 4 = 0. Solve -6*s - 16 = -l*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 12625 - 655. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 268*h\/7 + 8978\/7.\nAnswer: 2*(h + 67)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 7*t + 44 = 2*k, -4 = 2*t. Let c be (-12)\/28 - (-1122)\/k. Let z = c + -31. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-2*65\/52. Let m(t) = 2*t**3 + 5*t**2 + 8*t + 1. Let k(s) = 3*s**3 + 11*s**2 + 17*s + 1. Let w(c) = z*m(c) + 3*k(c). Does 16 divide w(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 4, 1, -14\/9, 1\/2?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -24. Solve d = 2*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-5) - 2\/5. Find the third derivative of -11*k**2 - 9*k**3 + 7*k**3 + 5*k**g + 11*k**3 wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 6. Let q be y(0). Suppose 329 - 959 = 3*p. Is ((-2)\/q)\/((-5)\/p) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 2*x**2 + 0*x**2)*(2 - 2 - 3*x)*(-3 - 6 + 3) in the form z*x**3 + k*x**2 + p*x + b and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**3 - 665*c**2 - 21775*c + 22445 = 0?\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 7 (c) -131 (d) 0.65 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*l, 398 = 3*v - 5*l - 441. Let r be 6\/10 + v\/20. Is r at least 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 22*o + 246. Give h(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-17 - (-6 - 3)) + (5 + 0 - 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*n + 2*n**3 + 351*n - 183*n + 2*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*z - 0*z - 10, 4*z = 2*q + 20. Put -10, -5, q in ascending order.\nAnswer: -10, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49\/((-7007)\/506) - -16) + -12\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 7*z - 1093 - z**2 + z**3 + 1093 as q*z**2 + g*z**4 + k*z + m*z**3 + u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/56*20\/(-35))\/((-3)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178 - 102. Let u(w) = 4*w**2 - 76*w + q*w. Let a(t) = -3*t**2. What is a(u(r))?\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - 10214502?\nAnswer: -10214434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, 1 f, and 1 e when four letters picked without replacement from eeefefeedfgfeeefe.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 6. Suppose -3*g - 2*x = -4*x, -x + 3 = 0. Let a(t) = 4*t - 5 - 10*t + 4 - 2*t**g - 7*t. Let d be a(-6). Calculate u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 621070902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4969.99 + -4970. Suppose m + 3 = -2. Which is the second smallest value? (a) v (b) -4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 51*v - 29. Let l be w(5). Let x = -167 + l. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qquqhqkqqvvknqqhqq. What is prob of picking 1 k and 1 h?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/2 + 4*a**3\/3 + a**2 - 4*a - 7. Find r such that z(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 + -210.1. Which is the second smallest value? (a) y (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3847 - 953 = -4*f, 0 = 5*u - f - 6006. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 131*h - 131*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*1 - 14\/(-7). Let l = -2 + c. Solve l*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*k - 4 = 0, 5*a - 11*k + 9*k = 31. What is the third smallest value in -0.7, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1290974 and 49\/3846.\nAnswer: 3872922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693812 is divided by 8303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 3*x**2 + 2*x + 2. Let g = -16 - -18. Let y(w) = -2*w**3 + 4*w**2 - 3*w - 3. What is g*y(p) + 3*j(p)?\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 656448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18338.\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 97. Is -8 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 97. Let p be 56\/20 + (-2 - 1). Let v = -3.568 + -0.432. Put v, p, q in descending order.\nAnswer: q, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131259.\nAnswer: 3, 43753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 6) + 1*-4. What are the prime factors of (70\/(-20))\/(n\/(-12))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210556 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) - 12\/(-20). Let w(v) be the first derivative of z*v**2 + 0*v + 4 - 4\/5*v**5 + 5\/3*v**3 + 0*v**4. Find the third derivative of w(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**3 + f**2 - 2. Let k(v) = -v**3 - v**2 + 1. Determine -d(h) - k(h).\nAnswer: 10*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.9. Let g = -313 + 313.18. Which is the fourth biggest value? (a) g (b) -2\/13 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(-4 - 1 + 2)*(3*n**2 + 0*n**2 - 4*n**2)*(1 - 9 - 5 + (2 + 2 - 1)*(1 + 1 - 1) + 6 + 0 + 14) as v*n + y*n**2 + r and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 3:33 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*i - 3 = 7, -2*i = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2685\/7 (c) -0.1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from vlllvvl.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 w when four letters picked without replacement from {x: 2, o: 1, t: 7, w: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 8*c + 8, -5*v - 78 + 58 = -4*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -222041 < -222041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 267, 405, 597, 843, 1143, 1497?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 40. Suppose 0 = -b*d - d + 1575. What is the highest common factor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 2)*(440\/25 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148799, -148800, -148801, -148802, -148803?\nAnswer: -148804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 12744.\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = 3*r - 7*k, -3*k + 30 = 4*r. Suppose -6*f - 2313 = -5*i - 5*f, -r = -3*f. Is 40 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 + 10*d**2 + 65*d**2.\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (73 + 1 - 16)) + -1 + 1 + -9.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*r + 3*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1169*p - 56110. Determine t(-48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:13 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c - 20. Let v be d(0). Let a be (0 - -7)*v\/(-28). Solve -4*o + 5*o = -a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 3. Suppose -6 = a*k - 5*k. Factor -k*z**3 - z**2 - 5*z**3 + 2*z**3 - 2*z**2 - 3*z**4.\nAnswer: -3*z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -999329 (base 10) to base 14.\nAnswer: -1c0289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-825 + 7*o + 416 + 408)*(2*o + 2*o - o) + 3*o**2 - 2*o**2 - 3*o**2 to b*o**2 + d + r*o and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*d + 15. Suppose -57 = -4*v + d. What is the least common multiple of v and ((-408)\/476)\/((-3)\/28)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.8 and -0.058538?\nAnswer: -0.7492864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*a**3*d**2*w**3 - 2*a**3*w - 2*a**2*w + 2*d**2*w**2 - 2*d*w**2 + 8*w**3 wrt d.\nAnswer: -132*a**3*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:44 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Calculate ((-1725)\/(-4140))\/((-368)\/(-18) - 11).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 172162?\nAnswer: 172164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 2*j + 28. Suppose 8*w + 7*w = j*w. Suppose 3*r - 24 = -3*z, w = 4*z - z - 15. What is the third biggest value in 2, 4, r, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -70. Let l = -30 - z. Solve -16 + 4 = l*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 3300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q - 9. Let s(d) = d - 1. Give -b(m) + 6*s(m).\nAnswer: -9*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (160\/(-70))\/((-4)\/14). Suppose c*r = 12*r. Suppose -2 = d - 0, r = v + 2*d + 1. Solve -g + 0 = -2*p - 1, -v*p = -g + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a + 4. Let w be (a\/(-16))\/(21\/42). Suppose -5*c = 4*b - 13, 0*c + 4*c + 5*b = 14. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19801750 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minutes after 10:14 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j. Let x(c) be the third derivative of -c**7\/1260 + c**4\/8 + 4*c**2. Let h(l) be the second derivative of x(l). Calculate h(r(s)).\nAnswer: -450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 * 0.0523665\nAnswer: 0.003560922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**3 - 57*x. Let z(l) = 10*l**3 - 85*l. Calculate -7*h(s) + 5*z(s).\nAnswer: s**3 - 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9.279022 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/673? (a) 0.25 (b) 2\/11 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61322660 (base 7) in base 4?\nAnswer: -103200310100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)\/p*p*(p*p**(8\/5)*p)\/p)\/((p\/p**(-9\/11))\/(p**(5\/19)*p)) assuming p is positive.\nAnswer: p**(1301\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.07187 millennia to decades.\nAnswer: 4307.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272564954*d - 90854983*d - 90854986*d - 90854985*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247200185?\nAnswer: 3, 5, 7, 11, 19, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let l(q) = s - 4*q - 3 + 2*q. Let v(n) = 10*n**2 + 20*n. Let k(d) = -d. Let z(i) = 20*k(i) + v(i). Determine l(z(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -54.8. Let l = 3.1 - -0.9. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 13. Suppose 0*x - 60 = -6*x. Determine v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 799814*k**2\/3 - 14396656*k\/9 + 8\/3.\nAnswer: 2*(k - 6)*(1199721*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/132*3*(-4)\/(-9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 2*a + 4, 0 = n + 2*a - 4. Let m(z) be the third derivative of 1\/60*z**5 + 0 - 5*z**2 + 0*z + n*z**3 + 1\/6*z**4. Give m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 909 and 303.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/29 + -65\/261. Let j = -1.86 - -2. Let t = j + -0.13. What is the smallest value in t, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.9, 5, 4, -9, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/5)*g*g)\/g)**(1\/23) assuming g is positive.\nAnswer: g**(11\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 6*c**2 - c - 5. Let i = 10 + -4. Suppose -2*s = i - 4. Let t be s\/4 - (-75)\/12. What is o(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {i: 2, m: 1, f: 1, w: 1, y: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2. Let v(k) = 0*k + 3*k - 6*k + k. What is v(i(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-2))\/(6\/(-15)). Factor 18*z + 25 - 28*z - 10*z**2 - n*z.\nAnswer: -5*(z + 5)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from olllleeleeollleeo?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145798 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*u - 3 = -0*u, 6 = 2*h - 4*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*12\/288*8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from pddddddddddp?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + -1 + sqrt(320)*-2 + sqrt(320))**2) + 1.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45761239019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 60 - (-1 - -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-21))\/1)\/((-640)\/(-1120)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -737 times -377\nAnswer: 277849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**2 - 103. What is the units digit of i(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 2*f + 84. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -249*h**2 + 40 + 248*h**2 + 8 + 9 - 2. Let r(u) = -12*u**2. Calculate p(r(v)).\nAnswer: -144*v**4 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**9\/252 + w**5\/4 - 16*w**2. What is the third derivative of q(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 0.085 (c) 1\/4 (d) 1 (e) -1\/14 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13455*0.2\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 2 (b) 1\/2 (c) -3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1407306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose -13 = f*j + 3. Let q(h) = 5*h**2 - h. Let v(g) = 6*g**2. Let b(o) = j*q(o) + 3*v(o). Factor b(a).\nAnswer: -2*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 4*v + v - v + v + (3 - 2 + 0)*(-5*v + 2*v + v))*(-22 + 58 + 132).\nAnswer: -504*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121548 and 21822?\nAnswer: 442070076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-3 + 2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 9552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25861939.\nAnswer: 29, 41, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -39. Suppose 0 = -4*h - h + 25. Suppose 13 + w = -h*f. What is the biggest value in -1\/2, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -65.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*m = -2*b + 290, b + 5*m - 115 = 0. Let u = -122 + b. Solve -19 + u = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -17*f + 63. Let a = 10 - f. Let y(g) = -2*g - 21. Let s be y(a). Solve z + s = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 - 3810*l**4\/7 + 11448*l**3\/7 = 0. Calculate l.\nAnswer: -1908, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {v: 1, o: 2, h: 6, i: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3150100 - -2?\nAnswer: 3150102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5845.176 rounded to the nearest 10?\nAnswer: -5850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 1844?\nAnswer: 18440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - n**2 + 0*n**2 + (5*n - 4*n + n)*(4*n - 6*n - 8*n) - n**2 + n**2 - 4*n**2 to o*n + a*n**2 + u and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(3)*-2 - (sqrt(16) + sqrt(128)\/sqrt(72)))\/(-2*(sqrt(128) + sqrt(128)*-2 - sqrt(128))*3).\nAnswer: -5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.748595 weeks in milliseconds?\nAnswer: 3476750256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, 36, 1 in descending order.\nAnswer: 36, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a - 4\/3*a**2 + 2\/3*a**3 + 4\/3.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, a: 2, d: 9}. Give prob of sequence ado.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.48 from 0.85346.\nAnswer: 1.33346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598137 greater than or equal to 1598179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 46. Let p(a) be the first derivative of 16*a**3 - a**2\/2 - a - 1. Let s be p(-1). What is the highest common divisor of r and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26313220 (base 7) to base 2\nAnswer: -1001001011101000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 178168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -191. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2788*q**2 + 623*q**3 + q**4 - 1833*q**2 + 96721*q + 96388*q**2 = 0.\nAnswer: -311, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 6*i**3 - i**3)*(-4*i - 4*i + 6*i)*(3*i - 15*i + 3*i) - 110*i**5 - 1013 + 1013.\nAnswer: -74*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1971, -2057, -2201, -2403, -2663, -2981?\n\"Answer: -29*t**2 + t - 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(5*j - 3*j - j)*(-1 + 0 + 3)*(-4 + 0 + 3) as n*j + a and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 16\/7 (b) 4 (c) 1\/34 (d) 2.7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/17)*i*(i\/(i*i**6*i))\/i*i*(i**(1\/3))**(-1\/68))\/((i\/(i*i\/((i\/((i*i\/(i**(-1\/3)\/i))\/i))\/i))*i)\/i**2)**49 assuming i is positive.\nAnswer: i**(42067\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 2*p - 679 - 2*p**2 + 694 + (6*p - 2*p + 0*p)*(0*p + p + 0*p).\nAnswer: 5*p**2 + 2*p + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhprppphprprrppt. Give prob of picking 1 r and 1 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29265?\nAnswer: 3, 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*33\/132)\/(-1*1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 140*x - 980.\nAnswer: -5*(x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*a + 43*a. Solve -9*w + 12 - 3 = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 38*b + 102*b + 142. Sort -115, b, -15.\nAnswer: -115, -15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(((-21)\/120)\/(-7)). Let h = 12 + w. What is the third smallest value in 2\/11, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/9)*w)**(2\/75)\/((((w\/(w*w*w*(w\/(w\/(w**(-12)*w*w)))\/w))\/w*w)\/w)\/(w*w**(6\/23)*w*w)))**(2\/19) assuming w is positive.\nAnswer: w**(-147058\/294975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -30, 0, -2 in descending order.\nAnswer: 12, 0, -2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004923202 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and -4*(3 - 15\/4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 38 = 5*s. Let t be -6*((-55)\/(-25) - 2)\/((-6)\/(-90)). Which is greater: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6962674 kilometers to meters.\nAnswer: 696.2674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4797076033 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - (-1 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + 2 - (-2 - -34 - (142 - 96))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12281772.0000004 + -12281777. Let q = 5 + u. What is q rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 + 3*c**3 - 2*c**3)*(2297 + 376*c - 2297) as s*c**2 + z*c + n + d*c**4 + j*c**3 and give d.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3120 + 704. Let v = -3777.02 + l. Let y = -46 + v. What is y rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 7. Let w be x(9). Let z(m) = m**3 - 4*m + 3. Let h be z(2). Suppose w = v + h. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3198*b**2 + 962*b**2 - 9758*b**2 + 2747*b**2.\nAnswer: -2851*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 + -320.2. Let p be 5*(18\/27)\/((-10)\/36). What is the closest to c in 2\/7, p, 0.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358549271?\nAnswer: 509, 704419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -160. Let l be 102\/68*(a\/(-9))\/(-2). Solve 5 = -l*s + 5*j + 34, j = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137853715 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293.501887365 - -325.5018874. Let j = h + -32. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/5*-125*(0 + 1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddd when four letters picked without replacement from duocttotuttwuutut.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 29. Let y = k + 18. Let h(d) = 2*d - 1. Calculate h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**8\/1008 - b**7\/630 + b**6\/360 + b**5\/180 - 7*b**2. What is d in p(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329640380 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*p - 19*p - 2780 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10012, -9704, -9370, -8998, -8576?\n\"Answer: 2*p**3 + p**2 + 291*p - 10306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502738 - -1567262. What is y rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-26))**(-6)\/(q**(4\/7)\/(q\/(q\/q**(-6\/11)))) assuming q is positive.\nAnswer: q**(11464\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 + 10*d**4 + 34*d**3 - 94*d**2 + 18*d + 36 = 0?\nAnswer: -3, -1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 10*g + 13. Let s be x(9). Find the common denominator of 2\/(-20) - 152\/304 and s\/6 - (-10)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - b - 66)*(3 - b**2 - 3 + 2*b**2 + 2*b**2 - 3*b**2 + (-b**2 + 0 + 0)*(-3 + 0 + 1)) + (3*b**2 - 4*b**2 + 3*b**2)*(b - 3*b + 4*b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*r + 6 = z, 0 = z - 2*r + 3. Let m = 9 - z. Let h be (10\/(-3))\/(m\/(-12)). Solve 6*v - 5*v + h = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67574*a**2 + 33788*a**2 + 249*a**3 - 41*a**3 + 33786*a**2 + 350*a**3.\nAnswer: 558*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t**(-3)*t)\/(t*t**(-1\/4)*t*t)**(-27))**(2\/3) assuming t is positive.\nAnswer: t**(281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 11) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**3)\/(r*r**12)*r*r**18*r*r**(3\/19))**(3\/5) assuming r is positive.\nAnswer: r**(294\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 23*v - 11*v + 34*v. Let b(k) = 3*k + 3*k - 5*k. What is l(b(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*v**3 + 6*v**2 - 6*v**2 + 36*v + 30*v**3 as j*v**2 + b*v**3 + m*v + l and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8829 or -79454\/9?\nAnswer: -79454\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15433)\/(-1265) - (-26)\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-18) + 4\/(-18). Let i = -629 - -3153\/5. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -34 - (7 - -56 - 80)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*j = -j + 4, 2*u - 2*j + 2 = 0. Suppose u = -2*w + 145 + 501. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28888\/15 + -1921. Let j = w - 5. Let o be -1 - -1*18\/10. Which is the third biggest value? (a) -2\/7 (b) j (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:40 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 8*l. Let p be t(-9). Let b(m) = -m + 12. Let x be b(p). Find the first derivative of h**x - 3 - 2*h**3 + 2 wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.19 in 0.3, -4, -2\/13, -5, -42?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1292 + -1288. Sort l, -3, -1.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 4*v + 2*v - v. Let y(c) = -c. Determine b(y(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(792)*2 + (sqrt(1782) - sqrt(1782)*-2))\/(4*(sqrt(18) + sqrt(2))*-6).\nAnswer: -13*sqrt(11)\/32 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*q + 50 = 0, -6*d + 2*q + 65 = -d. Let i = -13 + d. Suppose h = -i*h + 12. Calculate the lowest common multiple of h and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/24)\/(-1)*-1*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + k**4\/8 + 5*k**3\/2 + 53*k**2. Let c be m(5). Solve r - 2*r - 5*y - c = 0, -2*y - 2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 9, 22, 41, 66?\n\"Answer: 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o. Suppose -18 = -2*v - 2*y, o*v - 5*v - 2*y = -42. Suppose -v = -z + 16. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 6)*(6*k - 14*k + 6*k + 215).\nAnswer: 8*k - 860","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/6)\/(l\/l**(-8)*l*l))**44 assuming l is positive.\nAnswer: l**(-1562\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 22 + 44 = 3*o - 5*c. Calculate the lowest common multiple of o and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 11*u**2 - 7*u + 4. What is a(8)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 + 59*k + 122. Calculate n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/(3\/(-6)*1). Solve t*b = -3*h + 37, 3*h - 8 - 9 = -b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 2.5. Let l = g + 1. Put -0.5, 0.3, l in decreasing order.\nAnswer: 0.3, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwbiwiioiwuwiuii. Give prob of sequence ob.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20201?\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + 1 + 2)) + (-10 - -35)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -143*f. Suppose 4*l - 3*p + 7 = 2*l, l + 5*p - 3 = 0. Let t be ((-3)\/6)\/(l\/(-4)). Let c be n(t). Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 84. Let a(n) = -n**3 - 15*n**2 - 2*n - 16. Let k be a(v). Let i = 10 - 3. Calculate the highest common factor of k and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001741 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72130811?\nAnswer: 72130811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567092773.\nAnswer: 3, 7, 59, 181, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from mwrrwrx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 787980\/7 - 94546267\/840. Let z = w + -13\/15. Let k = 2269\/6 + -24677\/66. Find the common denominator of k and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from jffjufju?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Determine s so that -2*s**2 - s**2 + 2 + 2*s**2 - s**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 3e8?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146 + 35a9?\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 695, 694, 693, 692, 691, 690?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 269622426 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + u + 248 = 16, 3*u + 6 = 0. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 368370 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 0*i + 6*i - 2*i. Let j be p(3). What is the third derivative of -5*n + 5*n + n**2 - n**j wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 2*h + 4. Let m(x) = -7*x + 703*x**2 - 697*x**2 + 5 + 4*x. Calculate 2*m(a) - 3*y(a).\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945293 is divided by 2246?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.06 (b) -98 (c) 263\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 36 = 0. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24640340 divided by -11590.\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6 + 4*p + 2*p - 5*p. Let f be (-2)\/(-4)*(0 + 6). Let d = -2 - f. What is y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 - 24)*((-63)\/(-9) - 8) and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -143.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411 + -4454?\nAnswer: -5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*w**3\/4 - 251*w**2\/2 - 833*w\/4 - 49\/2.\nAnswer: -(w + 2)*(w + 7)*(55*w + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 - 7*w - 5. Let n be b(8). Suppose 5*c - 96 = -n*f, -f = 5*c - 2*f - 108. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28015 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 33. Let h = 7919 + -7906. What is the remainder when s is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one fifths of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 524 * 1\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 266176339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 = 2*m + 13, -5*h = -5*m. Let n(a) be the third derivative of 11\/120*a**6 + 0*a + 0 + 0*a**3 - 2*a**2 + 1\/24*a**h + 0*a**5. Give n(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5904 divided by -4\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 15*r**3\/2 - 27*r**2\/4.\nAnswer: -3*r**2*(r - 9)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 99. Suppose c - 38 = 4*v, 4*c - 152 = -3*v + s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835*-115.3504\nAnswer: -96317.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (231\/550)\/((-2)\/(-8) + -1). Sort 2, g, -3.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.493 - 2.52748. What is p rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267.5 - -267. Sort -0.3, 0, y, -13 in decreasing order.\nAnswer: 0, -0.3, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489803961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 22. Let m(t) = 5*t**2 + 5*t + 6. Let p(f) = -8 + 1 + 6*f + 3*f**2 + 3*f**2 + 14. Determine a*p(b) + 7*m(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5257*539.2\nAnswer: 2834574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + -101100001001011100?\nAnswer: -101100001001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-15))**(-27)*q\/q**15*q\/(q*q**(-5\/4)*q*q) assuming q is positive.\nAnswer: q**(-1787\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*l + 820*l - 276*l - 260*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aauc when four letters picked without replacement from {c: 4, u: 2, a: 3, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 672.8 + -582. Let u = -90 + d. Let j = -0.3 + u. Which is the smallest value? (a) j (b) -0.07 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 11*d + 11. Let j(h) = h**2 + 11*h + 3. Let v(p) = -2*j(p) + 3*m(p). Calculate v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4445 = 5*b - c, -62*c + 66*c = -b + 910. What are the prime factors of b?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 7528*l + 244068.\nAnswer: 4*(l + 33)*(l + 1849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.54369km to millimeters.\nAnswer: 8543690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4924 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 2\/9 (c) -2.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135, 599, 1823, 3537, 5741, 8435, 11619?\n\"Answer: 245*j**2 - j - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v - 2. Let f(i) = 3*i - 3. Let y be f(2). Suppose y = 3*p + 15. Let o be z(p). Solve 4*m + 8 = -o*j, 3*m + 13 = -6*j + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*o - 21*o**4 - 45*o + (o + 3*o - 2*o)*(-3 + 3 + o**3) + (5*o - 2*o - o)*(-3*o + 4*o + 3*o)*(o + 2*o - o)*(3*o + 3*o - 2*o).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 35*i**2 - i. Let l(b) = -76*b + 1. Determine n(l(x)).\nAnswer: 202160*x**2 - 5244*x + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -12. Let u be 35 + f\/(2 - 5). Let s(r) = -5*r - 1. Let a be s(-4). Calculate the highest common divisor of a and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39026494*0.07.\nAnswer: -2731854.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + 145\/20. Let n = y + -14. Let z = n + 54. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905272.\nAnswer: 2, 113159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -28, -27, -12, 23, 84, 177, 308?\n\"Answer: t**3 - 2*t**2 - 8*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5)*-2*3)**2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110925?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79033013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 3*q - 5*q - 5*c, 2*c = 10. Put 3, q, -5, 0 in increasing order.\nAnswer: -5, 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 30*h + 288. Give f(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1260 and 757?\nAnswer: -953820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22 - 10*s - 28 + 8*s + 64. Suppose 3*t - 102 = t. Calculate the remainder when t is divided by w(16).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k - 19*k - 12*k - 15*k - 17*k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, 22037?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*s - 36 = 0, -19*r - 3*s = -4*s - 2*s - 119 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 8)*2\/2. Solve 2*m - n = 9, -w - m + 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 9*v - 30 as m*v + w and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n + 18. Let f be y(0). What is the first derivative of o**4 - 6*o**4 + f + o**4 wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + t**2 - 3*t**2)*((1 - 2 - 1)*(-3*t + 5 - 5) + 2*t - 5*t + 2*t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 s when four letters picked without replacement from {s: 11, v: 9}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 43*s**4 + 4*s**2 - 187*s + 4. Let g(z) = -42*z**4 - 3*z**2 + 188*z - 3. Let c(d) = -4*g(d) - 3*v(d). Find the second derivative of c(b) wrt b.\nAnswer: 468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -28508\nAnswer: 1\/14254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 + -53. Let s(z) = -3*z - 5. Let j be s(5). Let a = x + j. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k - 2*g, -3*k = 8*g - 11*g - 18. Suppose 2*m - 3682 = 4*o, 5*m - 3683 = 3*m + k*o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 12 - 0. Let x = b + 2. What is the units digit of 6 + x + (-2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17646 divided by 1\nAnswer: -17646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -737 + 0?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*k = -18, 9*k = 4*k. Suppose b*q = q + 125. Calculate the remainder when q is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s = -19*s - 96. Suppose -4*h + 3*l - s*l = -5932, 0 = -h - 3*l + 1483. What are the prime factors of h?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82168 = -4*r - 4*n, 196*r + 20551 = 197*r - 2*n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**3\/3 - 47*b**2\/3 + 34*b\/3 + 5\/3.\nAnswer: (b - 5)*(b - 1)*(8*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwx when three letters picked without replacement from {z: 4, h: 6, w: 1, n: 2, m: 2, x: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 + 5 - (24 + -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((sqrt(392)*-4)\/sqrt(7))\/(sqrt(968) - (2*sqrt(968) + sqrt(968)))*1.\nAnswer: -20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056739 rounded to four decimal places?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 - -3210?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 54300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4386\/4257 - ((-8)\/6 - -2).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147 is divided by 379?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*i**3 + 2*i**2 - 111 with respect to i.\nAnswer: -96*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/3 + 10*j**4\/3 - 4*j**3 - 4*j**2\/3 + 14*j\/3 - 2 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 + -309. Let x be v*((-106)\/52 - -2). Let f = -1 + -1. Which is the smallest value? (a) x (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (30 + -14) - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 563 + 15437. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 - 9 + 9*d**2 - 2 - 28. Let g(j) = -2*j. Calculate g(q(i)).\nAnswer: -8*i**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 28*o**3 - 3704*o**2 + 4724*o - 1048 = 0.\nAnswer: 2\/7, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2023 and 14144?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15677.10463 to the nearest 10.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 42 = 46, 0 = 5*i - v - 354. Calculate the remainder when 177 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225190*l + 3 + 225189*l - 3 + 0.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**3\/4 - 440*w**2 + 701*w\/4 - 35\/2 = 0 for w.\nAnswer: 1\/5, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 40 (c) -0.2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 29*j - 16. Let w be d(-21). What is the units digit of 39\/52 - w\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, -3, -0.3, -0.013?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 - 9*g**3 - 3*g**3 + 207 + 25*g**3 - 4*g**3 to l*g**3 + v + p*g**2 + c*g and give v.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {b: 4, d: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.12 + -6.12. What is the smallest value in 0.2, 1, 1\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*u - 35*u - 25*u + 7*u - 11*u to b + q*u and give q.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 57473?\nAnswer: 57473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3 - 2*b)*(279 - 279 + 70*b**2).\nAnswer: -140*b**3 + 140*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78669538 and 20178.\nAnswer: 708025842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19433 * 10218\nAnswer: 198566394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:55 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12751.6 + 47689.6275\nAnswer: 34938.0275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15208762 - 10?\nAnswer: 15208752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 - 2.4. Let f = -0.273 + 4.273. What is the nearest to -2 in p, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*p - 114, -4*m - 14*p = -17*p - 126. Suppose 0 = -2*g - 7*a + 12*a - 15, m = 5*g + a. Solve 2*s + g*n = 2*n - 11, s + 5*n + 9 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1166913.343 to the nearest one thousand.\nAnswer: -1167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141.46 + 122.46. Let i be ((-1)\/3)\/((-8)\/6). What is the third smallest value in i, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 4.9. Let l be 33\/66*8\/(-26). Let n = -5.9 - -0.9. What is the third biggest value in n, l, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 173, 242, 311, 380, 449?\n\"Answer: 69*h + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31012 + 31012.00000237246. What is s rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(475) - sqrt(475) - sqrt(1216)*-4)*4 + 0)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 34. Is 8 a factor of (8 + 12 + o)*(-34)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k. Let c(q) = -6*q**3 + 3*q**2 + 2*q. Let s(u) = -c(u) - 2*p(u). What is the third derivative of s(x) wrt x?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2445)\/(-53790)*(-1 + 1079).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 71*z = -371 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/72)\/(2\/(-9)). Let c(m) = 2*m - 8. Let r be c(6). Let 2*v**y - 3*v**4 + 12*v**r - 6*v**4 + v**3 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5436\/19471 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 - 3*p**2 + 0*p - 2\/3*p**3 - 1\/24*p**4 - 1\/120*p**6 + 0*p**5. What are the prime factors of r(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-105) + 8\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 33, -2\/51, -26\/9?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19872231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51978 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-32)\/(-1152)*((-13)\/2)\/(-1)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3798515 not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/2 - 3*a**3 + 7*a**2\/2.\nAnswer: -a**2*(a - 1)*(a + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714362 is divided by 827.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:22 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139111093 times 5?\nAnswer: -0.695555465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, 2059, 4352, 7633, 11938?\nAnswer: 17303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -7*c**5\/20 - c**4\/12 - c**3\/3 - c**2\/2 + c. What is the lowest common multiple of 1 + (-6)\/(-3*1) and l(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(7\/5))**(6\/17)\/((c\/((c*c*c*(c*c\/c**(2\/3)*c)\/c*c)\/c))**(-2\/25)*c**(-1\/4)\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(-823\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 12*i**2 - 11*i + 4. Suppose 0 = 4*b + 4*k - 56, -2*b + 2*k + 13 = -k. Let o be f(b). Sort o, -1, 3 in descending order.\nAnswer: o, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b + 9. Let q = 9 + -9.2. What is the nearest to -1 in -1\/6, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 19*y**2 + 16*y + 11. List the prime factors of d(-20).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -13\/20*u**5 + 2 - 123*u**2 + 0*u**3 + 5\/8*u**4 + 0*u. Factor d(p).\nAnswer: -3*p*(13*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -46*w - 56. Let z(f) = 23*f + 28. Let r(g) = 2*p(g) + 5*z(g). Is r(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-95)\/(-20). Let p(k) be the third derivative of k**6\/120 + k**5\/12 + k**4\/12 + 2*k**3\/3 - 3*k**2. What is p(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:16 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at most -17857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 1:18 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168070623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10238, 20707, 31638, 43265, 55822, 69543, 84662, 101413?\nAnswer: 120030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/39174485 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 1, 5, -271, 2, 0, -5 in decreasing order.\nAnswer: 5, 2, 1, 0, -5, -225, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -306158*k - 75613 wrt k?\nAnswer: -306158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 161.001055. Round s to 5 dps.\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4 - 4)*(7*a**4 - 10*a**4 + a**4) + (2*a**2 - 2*a**2 - 6*a**3)*(-4 + 4 + 2*a**2).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + m**2 + 5 - 3 + 2*m**2. Suppose 4*w = -5*a - 10, a - 10 - 17 = 5*w. Does 3 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 77*t**2 + 3*t - 328. Give b(77).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(15*10\/1350).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*27\/(-729)*7\/((-42)\/(-9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -903192874 and -0.4?\nAnswer: 361277149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24595, -100471, -226933, -403981, -631615, -909835?\nAnswer: -1238641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*d + d, -5*d + 15 = 0. Calculate the remainder when (2\/4)\/((-4)\/(-48)) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 2 + 3*(sqrt(7) + 1*sqrt(7)) - (5*(sqrt(7) - sqrt(14)\/sqrt(2)) - (sqrt(7) + -2 + -4)))**2 + -3.\nAnswer: -64*sqrt(7) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 75 + 69 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -216, -225, -240, -261?\n\"Answer: -3*a**2 - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560476.2nm in kilometers?\nAnswer: 0.0000005604762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111161033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y + 17. Suppose -5*p - 5*q = 50, -q = -3*p + 4*q + 2. Let j(x) = 6*x + 8. Determine p*h(u) + 13*j(u).\nAnswer: 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**3 + 134?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y**2 - 2*y**2 + (-5 + 2 + 1)*(0*y**2 + y**2 - 3*y**2) + 2*y**2 + 3*y**2 - 7*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2329.18 - 2338. Round j to 1 decimal place.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i**4 + 0*i**4 + 33*i**4 - 270*i**3 + i**5)*(-5 + 3 + 3) + (0*i**3 + i**4 + 0*i**3)*(-2*i + 4 - 4).\nAnswer: -i**5 + 6*i**4 - 270*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -331352 (base 7) in base 9?\nAnswer: -87682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.139258 days to hours.\nAnswer: 171.342192","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*k + 2, 0 = -2*f + f - 3*k + 2. Let m be 30\/f - 4\/28. Is m greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59032*z**5 - 115*z**2 - 16*z + 1 wrt z?\nAnswer: -3541920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 28*h + 7. Let q be (-49)\/h*(-6)\/(-14). Let k(c) = 722*c - 13. Is k(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3835 = -118*p - 27*p - 150*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16559*g**2 + 4494*g**2 - 15028*g**2 + 1130*g**2 - 8203*g**2 to d + n*g**2 + r*g and give n.\nAnswer: -34166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*m = 934, 134 = 2*b + 2*m - 804. Suppose 7*v + 2*v = b. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 9*p**2 - 31*p - 32. What is c(-7)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -185*f**2 + 5929*f - 272. Give h(32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z - 369. Let u be a(-46). Sort 2, 1196, u.\nAnswer: u, 2, 1196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 695 and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-1720)\/120*(-3)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 813138 - 813141. Let d be (1\/3)\/((-1)\/(-3)). Let t be 18\/(-3) - (-3 + d). What is the closest to t in v, -0.5, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 56. Calculate the common denominator of (-1)\/a*(6 - 47) and (-94)\/48 - (-1)\/3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -9156.\nAnswer: -9155.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 120*x**3 + 3*x**2 - 7*x - 5. Let y be z(-7). Let i be -2 + (-1)\/(-10)*y. Let m = i - -4095. Calculate the common denominator of m and -8\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 (base 11) in base 15?\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 1. Let j(l) = -l**3 - 5*l**2 + 5*l - 8. Let n be j(-6). Let d be s(n). Solve 3*z - 3 - d = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8*o + 4 = -6*o, 2*g = 5*o - 5. Let j(k) = -k**3 - 11*k**2 - 10*k - 11. What is j(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 216*u**2 - 25*u**2 - 81*u**2.\nAnswer: -323*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 21*z**2 + 22*z + 4. Let c be d(-12). Let p = -55 - -98. What is the greatest common factor of c and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355501983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 3. Let t be c(3). Let x = 4 - t. Is -3 + x - 0 - -210 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 4 = 0. Suppose n = 4*s - 4*n - 65, s + 2*n = 0. What is the remainder when s is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1710.50035111 + 1710.5. What is a rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-58)\/4. Let g be (-2*(-145)\/(-40))\/((-2)\/8). Let t = g - x. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 13*o**2 + 11*o + 15. Let m be d(12). Solve m*r = -2*r + 4*t - 17, 3*r + 11 = 2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 796, 767, 718, 649, 560, 451?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3045 + 1450250?\nAnswer: 1453335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/77422878 and -49\/12903813.\nAnswer: 77422878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09888392 and 7.\nAnswer: -0.69218744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, 1, 8, -5, -3 in descending order.\nAnswer: 28, 8, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k - 40 = 0. Calculate the greatest common factor of 70 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1121*n + 1121*n - 4 + 3*n**2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 5. Let h be d(-7). Differentiate -a**4 + a**2 + 9 - 3 - a**h with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10\/(-3)*((-2940)\/75 + -4) - -6 and 78?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-36)\/(-6) - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-128)*6\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 414 = -18 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(y**(-4\/5)\/y)*y)\/(y\/y**0*y))**(-3\/19))**(-9\/2))**(-2\/145) assuming y is positive.\nAnswer: y**(-378\/13775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-66))\/(5\/36165 + 0). Let i = k + -161801\/737. Let o = 1306\/469 - i. What is the common denominator of -43 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864*l**3 - 868*l**3 + 3456*l**3 - 869*l**3 - 865*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (50\/(-125))\/(-2) - (-122)\/(-10). Suppose 4*a - 3*y - y = 520, -4*y + 278 = 2*a. Let n = f + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-21))\/((-1)\/(-2)))\/(-105*78\/(-2457))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2. Let w(m) = 2*m + 6. Let i(j) = -4*g(j) - 2*w(j). Let o be i(-5). Solve 20 = 2*y - 4*h, -4 = 5*h + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 145*j - 367 - 315. Let y(l) be the first derivative of 0*l**j - 38 - 2\/35*l**5 - 2\/7*l + 4\/21*l**3 + 0*l**2. Solve y(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-4))\/(-1))\/(297\/(-528))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/70 - 20*38\/(-2660))*-1*44\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c. Let d = 62 + -66. Let t be -4*((-13)\/2 + 3) - d. Let z be (-330)\/270 + 4\/t. Calculate a(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 5) to base 10\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/(-10) + (-2)\/(-20). Solve -5*c + z = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462653.\nAnswer: 462653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23732524?\nAnswer: 2, 5933131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185017*t**2 - 3438*t - 10?\nAnswer: 370034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -67*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19037*y**4 + y**3 - 3626*y - 2.\nAnswer: -228444*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/7)*a*a**35)**(-20) assuming a is positive.\nAnswer: a**(-5200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 52495, 17, 1, -2.\nAnswer: -2, 1, 17, 38, 52495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 7) to base 4\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.053 - -47.053. Let n = 40 - d. Let h = 25 - 24.6. What is the closest to 1 in 1\/7, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/53 (c) -0.3179 (d) 2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*1 - sqrt(243))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7137.985mm?\nAnswer: 7137985000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/29)\/((b**3\/b)\/b))**39*(b*b**5*b**(4\/3)\/b)**(-10\/3) assuming b is positive.\nAnswer: b**(-16391\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*y = 9, 5*h = -4*y - 20 - 4. Let d be 3\/12 + (1 - 6\/(-8)). Let b = 0.3 + -0.32. Put h, b, d in descending order.\nAnswer: d, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 1. Let q(r) = 3*r + 2. Determine 2*q(m) - 3*u(m).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.7 and 43265.\nAnswer: -2885775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435 - 220 - 215 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362106019.\nAnswer: 809, 1683691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + t - 21, -2*t = -10. Let w(o) = o + 2. Calculate w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -3*s + 13, 2*r - 12 = -2*s. Suppose c - 2*c = -x + 6, r*x = c + 18. Is c greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5)*0\/173. Let z(y) be the first derivative of 0*y + 0*y**4 + r*y**2 + 15 + 23\/3*y**3 - 8\/5*y**5. What is the third derivative of z(s) wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a factor of 9712416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + n**3 + (4 + 1 + 0)*(2*n**3 - 4*n**3 + n**3) + 18*n**3 - 30*n**3 + 19*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7370\/(-132))\/(-67)*24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8181 + -8183. What is the biggest value in v, -43, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 8 = -5*t + 55, -8902*t + i = -8903*t + 12 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3\/6 + 63125*m**2\/2 - 2273740*m\/3 + 2526600 = 0?\nAnswer: -37899, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {q: 3, d: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**9\/2520 - 3*d**5\/40 - d**4\/3 + 3*d**2. Let p(m) be the second derivative of r(m). What is the derivative of p(v) wrt v?\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -172, -346, -520?\n\"Answer: -174*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29147153 * 0.2.\nAnswer: 5829430.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h = 70*h + 5839. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59\/74 + -1571\/555. What is the common denominator of s and -59\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 8 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1887 + 6033 = -438*z - 4614 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171626283*v**2 + 244583541.\nAnswer: -343252566*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 111822, 223640, 335458, 447276, 559094, 670912?\n\"Answer: 111818*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1087616 divided by 128\nAnswer: -8497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) - (-2 + sqrt(2178))**2.\nAnswer: -2182 + 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 12. Let x(l) = 12*l + 12. Let j(t) = -t - 1. Let i(c) = w*x(c) + 60*j(c). Differentiate i(z) with respect to z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*42*3\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (33\/(-9) - (-48)\/(-36)). Let x be (-2)\/(-16) + 0\/(-2). What is the closest to i in x, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 2*l**3 - 35*l**2 + 47*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -128232973*k*x**3 + 106219078*x**3 wrt k?\nAnswer: -128232973*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 1 = 2*f - 17, 4*g - 3*f = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.669 - -0.167.\nAnswer: 1.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 + 312*g - 154*g - 154*g)*(5*g**2 - 3*g**2 - 3*g**2) to the form u*g + n*g**3 + q + j*g**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.659848 - 114\nAnswer: -114.659848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uufe when four letters picked without replacement from lsjluefessulu.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14*1\/(-10))\/(384\/1360) and 107\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1035312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*h - 25, -2*b = -h + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -256 (base 15) to base 14\nAnswer: -29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/120 - 7*n**5\/60 - 5*n**4\/24 - 11*n**3\/6 - 1758*n**2 + 3*n. Let s be 10 + (-1)\/((-2)\/(-4)). Give u(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083143 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 1\/5, 3, -19 in ascending order.\nAnswer: -19, 1\/5, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3058 and 10?\nAnswer: 15290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14649 is divided by 14269?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 + 9 = 0. Let a be (-39)\/d - (-5)\/10. Let r = 64 - a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 m when three letters picked without replacement from pnpzmmoo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l**3 + 4*l**3 + 0*l**2 + 0*l**2.\nAnswer: 41*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1108.5 or -0.1?\nAnswer: 1108.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 47123090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1441*o**3 + 25*o**2 - 1018*o + 5. Let l(n) = -721*n**3 + 10*n**2 - 508*n + 2. Let d(t) = 5*l(t) - 2*u(t). Find the second derivative of d(y) wrt y.\nAnswer: -4338*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2008, 8031, 18060, 32089, 50112?\n\"Answer: -j**3 + 2009*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240 - 15?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2*k**2 + 14 + 14*k**3.\nAnswer: 14*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 12. Let b(n) = n + 4. Let x(t) = -11*b(t) - 4*i(t). Let p be x(-2). Solve -2*f - p*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 9, m: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, -94, -587, -1640, -3463, -6266, -10259, -15652?\nAnswer: -22655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hek when three letters picked without replacement from ehhk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170866485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364.8 - 365. What is the closest to 0.1 in i, 1, -0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145623\/220 - 3307\/5. Calculate the common denominator of g and -101\/448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -86. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6391 and 136675?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(7\/2))\/((-104)\/1092)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -5, 3, 12.495, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 56 + 3)*(-1 - 1 - 11*q + 5*q).\nAnswer: -168*q - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51544 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -527, -537, -551, -569, -591, -617?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 115*b.\nAnswer: -5*b*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180211725 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15696)\/(-5)*(-50)\/(-3)*-25. Round d to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:45 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 671647126 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000324041 rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.77 - -28.97. Let r = -5.44 - -10.4. Let u = r + -5. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18 - 1)*(-4)\/(-8) - 2\/(-4). Let g(h) = 8*h + 55. Determine g(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 32. Let i(k) = -6*k - 50. Let s be i(-7). Let r be b(s). Suppose 4*a - 933 - 75 = r. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 - 30*w**4 - 111*w**3 - 180*w**2 - 108*w.\nAnswer: -3*w*(w + 2)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 1682 = -t, -5*t = -w - 8410. Let -16 - 20*n**2 + t*n - 1714*n - n**3 - 3*n**3 = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 21*x**2 + 21*x + 6. Let u be g(-20). Let r = 19 + u. Suppose r*a + 373 = 4*v, 2 = -a - 3. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 177, 254, 331, 408, 485?\n\"Answer: 77*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (4 - 1) + 1 + -2 + (-69 - -59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 9 (c) -4 (d) -45\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 18*j**2 + 15*j. Let z(a) = a**2 + a. Let v(f) = -u(f) + 15*z(f). Let d(i) = -4*i. What is d(v(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -332690000 to the nearest 1000000.\nAnswer: -333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 53*g - 366. Let o be n(7). Let p be (31 - 34)*1\/(-3)*2. Solve -o*y = p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30340 and 220.\nAnswer: 333740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let d = -0.14 + 0.14. Are c and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207652211 divided by 4661\nAnswer: -44551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3861947\/4984 - 1398\/623. Let x = 771 - n. Let q = 25 - -8. Calculate the common denominator of q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 543523 at least 541340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 11*l**4\/4 - l**3\/2 + 3*l**2\/2 - 13*l. List the prime factors of r(2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 1 - 1 + (1 - 1 + m)*(0 - 6 + 2))*(3 - 2 - 3 - 10*m) to the form i + l*m + q*m**2 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-55)*-2)\/((-38)\/(-10) + -7)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvwdddwpvvwy. Give prob of picking 1 p and 2 d.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024593795 rounded to seven decimal places?\nAnswer: -0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqs when three letters picked without replacement from {o: 2, w: 2, q: 4, s: 2, k: 3}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**7\/42 - z**3\/6 - 2*z - 3. Let g(v) be the first derivative of u(v). Find the second derivative of g(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31382, 123600, 276660, 490574, 765354?\nAnswer: 1101012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 + (-3)\/1. Let h = -2.4 + 6.4. What is the third smallest value in 0.2, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.269 - -1.521. Let h = t + 0.21. Put -0.5, 5, -0.09, h in descending order.\nAnswer: 5, h, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12)\/n*n*n*n*n\/(n*n\/(n\/(n**(2\/7)*n))*n*n)*n*(n**(-1))**(-27) assuming n is positive.\nAnswer: n**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*r + 8, 2*v + 2*r - 8 = 4*r. Let s be 1 + v + (-12)\/14. Which is the second smallest value? (a) -1.3 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 470080*j + 11048760320.\nAnswer: 5*(j - 47008)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 7*l + 4*w, 116*l - 60*l - 21 = 57*l + 10*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20708 is divided by 6901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*g + 15, -5*g - 2 + 8 - 16 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from iriirzrrisizsrs.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5398 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 -1894, -3793, -5680, -7549, -9394, -11209?\nAnswer: -12988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187\/6 + (-4)\/24 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 not equal to -74840\/741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.3. Let u be 3\/18*-8*(-3)\/12. Which is the nearest to u? (a) -0.3 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300450.\nAnswer: 2, 3, 5, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106853 < 107534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1661 + 2311?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l + 37\/2*l**2 + 0*l**4 + 0*l**3 + 10\/3*l**6 + 33 + 0*l**5. Find the second derivative of h(a) wrt a.\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921717215?\nAnswer: 5, 184343443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*r**2 - 3*r + 56 - 124 + 66 + r**2 - 2*r**2 - r**2 + 3*r**2 + r**2 - 3*r**2 + (2*r + 0*r - 4*r)*(-3 + r + 3) + 2*r + 2*r**2 - 2*r.\nAnswer: 62*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-493)\/(-68) - 7). Let m(b) be the first derivative of 0*b - 10 + y*b**2 - 1\/3*b**3. Let v(t) = 6*t**2. Give v(m(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02884747 to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (76 + 5)*1\/3. Let j be (-3)\/(-2) + (-18)\/o. Let f = j + -7\/6. Is -0.3 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n + 100. Suppose -2*i - 3*g - 19 = 0, -2*i - 5*g - 11 = 6. Let q = n + i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, -1, -70025, -3 in ascending order.\nAnswer: -70025, -52, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/2)\/l)*l**(-2\/5))**14\/((l*l\/((l*l**(-2\/5)*l*l)\/l*l)*l*l*l**(-3))\/(l**(-6)\/l**(-3\/5))) assuming l is positive.\nAnswer: l**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r**2 + 10010 - 141*r**2 - 10010 + 70*r**2 + 52*r**3.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3240*y + 173. Let z be v(7). Suppose 0*s + z = 5*u - s, 2*u = -4*s + 9150. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s. Let i(z) be the second derivative of z**4\/24 - z**2 + 3*z. Let k(w) be the first derivative of i(w). What is k(v(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x - 2. Let u be (-13)\/(-3) + 3\/(-10 + x). Let v = -15 + 40. Solve 0 = 4*s - t + 11, -5*t + u = -s + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - y)*(12*y - 7*y + 5*y + y + y + 0*y + (-1 - 1 + 1)*(0*y + 4*y - 6*y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*w - 9634, 4814 = w - 3*m + 2*m. Let a be (w - 11)*2125\/2. Suppose -2*d = -7*d + a. Round d to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -67, -245, -599, -1189, -2075?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.525465 less than -76.9?\nAnswer: -66.374535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215.52 + -252.52. What is the biggest value in 1, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 344 + -349. Let h = -31 + 32. What is the second biggest value in h, -2\/9, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21034.\nAnswer: 2, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203 - 809083.\nAnswer: -808880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-14))\/((-4)\/28). Suppose n*c - 24 = -2*c. Solve 0 = -r + c - 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/4 (b) -5 (c) 4 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/520 - (187\/(-88))\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 343277368.\nAnswer: -343277370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/5 - 3\/10. Let a = -33 + 33.3. Sort -3, a, b in ascending order.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 + 58*v - 785. Let c be o(14). What is the highest common divisor of c and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.07 + 0.07. Let p = 63940.5507 + -63947.55069986. Let s = p - i. What is s rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24.63? (a) -1 (b) 5 (c) -36\/41 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(198) - -2*sqrt(198)*6)\/(sqrt(11) + sqrt(1331)*1))\/(-2*5*-2*sqrt(486)).\nAnswer: 13*sqrt(3)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148475 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -29*m - 1. Let o be a(-1). Let s = o - 12. 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 9.4041 rounded to one decimal place?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 178*k**4 + 199*k**3 + 74735*k**2 wrt k?\nAnswer: 60*k**2 - 4272*k + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 4*c + 13. Calculate j(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/49*(-434)\/(-186). Let g(q) = q**3 + 13*q**2 - 68*q - 9. What is g(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1 + 1. Let s(a) = -5*a**x - 2 + 1 + 2*a**2. Let j = -11 + 10. Determine s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 - 3*t + 5. Let k = 14182 + -14167. Calculate the remainder when i(4) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 43*n**2 - 136*n + 108. Calculate y(-46).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.034 and -0.5.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -5, 2, -0.3, 20\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 25 = 19*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 36, 7, 11, -0.3, 2, 1.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 4*s**4 - 5*s**4)*(-5 + 1 + 3)*(-1 + 5 + 0) + s**4 - 5*s**4 + 2*s**4.\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365340?\nAnswer: 2, 3, 5, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307242.\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -56, -77, -96, -113?\n\"Answer: m**2 - 26*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**23\/o**5 assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w**3 + 9*w**2 - w - 1. Let t be r(-4). What is the highest common factor of t and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3883909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -33*g + 19. Suppose 0*p - 2*x = 5*p - 10, 3*p = -3*x + 6. Let j(i) = 16*i - 10. Let y(o) = p*m(o) + 5*j(o). What is the derivative of y(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 69*q**2 + 69*q + 80. What is k(70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5604*x + 1526. Let q(r) = 2*r. Determine q(p(h)).\nAnswer: -11208*h + 3052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 32*y - 44 = -2*w, -3*w + 4*y - 41 = -137 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 650 - 4?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -63, -105, -175, -279?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 8*p**2 + 26 - 16*p**2 + 7*p**2.\nAnswer: 4*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + 0.03. Let t = 0.17 - s. Sort 5\/6, 0.1, t in descending order.\nAnswer: 5\/6, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2778, -11142, -25082, -44598, -69690?\n\"Answer: -2788*t**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, g: 6}. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/8 + 15*x**3\/8 + 3*x**2\/8 - 15*x\/8 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 620, 0, -2, 5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**3 - 7*w**2 + 6*w - 1. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -5*w**4\/4 - 9*w**2\/2 - 9*w + 7. Suppose -d - 4*d - 4 = j, 2*d - 2 = 0. Let i(r) = r**3 + 2*r + 2. Give j*i(a) - 2*b(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)\/((m*m*m**(-2))\/m*m))**(6\/7)*(m**(-2)\/(m\/m**4))**(1\/4) assuming m is positive.\nAnswer: m**(25\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6220*l**2 - 18*l - 1996382?\nAnswer: -12440*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**4 - 163*f**3 - 511*f**2 + 155*f + 514. Let k(m) = m**4 - 2*m**3 + m**2 + 1. Let t(r) = -4*k(r) + x(r). Determine n, given that t(n) = 0.\nAnswer: -3, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 9*n + 12. Let i be u(8). Suppose -2*o + 19 = -5*o - 5*f, 3*f + 23 = i*o. What is the third derivative of a**6 + 2*a - 2*a - a**o wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -156*j - 5725. Let h be u(-83). What is the greatest common divisor of h and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9331\/(-5160) + 2\/(-12) and -151\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106258 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/29 in -0.5, -0.3, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((2\/6)\/1). Let s = 8 + b. Solve s*g = 6 - 31 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a - 1. Calculate v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*h, 0*h = 5*n - 2*h. Suppose -2*t + 42 = -n*t. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3164 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 9 - (-39 - (16 - 14))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -3. Let v be 7 + 287\/(-56) - (1 + 1). What is the third smallest value in u, v, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121132020210 (base 4) in base 13?\nAnswer: 14ca207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823344487.\nAnswer: 7, 117620641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9011 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5\/3*x**3 + 0*x**4 - 46 - 3*x**2 + 8*x + x**5. Find the second derivative of p(i) wrt i.\nAnswer: 60*i**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6824 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 69112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from mcyymmpycccmjmmpfjc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 equal to -1511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46822 times 5?\nAnswer: 234110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**3 - 5\/12*z**6 - 13\/20*z**5 + 0 - 43*z**2 + 0*z**4 + 0*z. Find the third derivative of j(f) wrt f.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 89676 = -3*v, v - 59792 = -v + 2*d. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 12*s - 13. Let k be q(-13). Solve k = -4*o - 0*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 - 286. Differentiate -93 - 5*x**q - 73 - 122*x + 31*x + 3*x**2 with respect to x.\nAnswer: -4*x - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:14 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 119 = -119 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-30)\/24 + (-3)\/(-12) + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 + 23*i**2 - 17*i - 17. Let s(m) = -2*m**3 - 8*m**2 + 6*m + 6. Let q be ((-139)\/3)\/((-4)\/12). Let d = -145 + q. Calculate d*k(p) - 17*s(p).\nAnswer: 4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1879c (base 16) to base 13\nAnswer: 36829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68) + 1.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((-13 + 3 - 1) + (0 + -3 - -21))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39737031 and 5183091.\nAnswer: 119211093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*b**2 - 2*b**2 - 1 + 1 + 4*b**2 - 5*b**2 - b**2 + (2 - 2*b**2 - 2)*(-1 - 1 + 3) + 0*b**2 - 2*b**2 + b**2 + (5*b - b - b)*(-b + 5 - 5).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = z - 5, -2*z - 2*o + 4168 = 4170 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*v - 6 = -12*v, 2*v - 2 = 0. Put k, -2, -5, 4, -110 in descending order.\nAnswer: 4, k, -2, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 3*z - 5*m, 5*m + 110 = -2*z - 0*z. Find the common denominator of 100\/(-32) - (-2)\/4 and (z\/30)\/(8\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - x + 5. Let g be d(0). Let y be (g\/3)\/((2 + -5)\/(-9)). Suppose -c = -3*l + 16, -7*l = -3*l - y*c - 3. Solve -2*t = -l - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/55*(-80)\/(-16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 99509*p**2 + 2477051939*p + 76693011751.\nAnswer: (p + 31)*(p + 49739)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 4.06. What is the nearest to 2 in -3, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = -12. Let f = -17 + y. Let v(w) = 8 - 10 - w**2 + f. Let j(o) = -o. Calculate j(v(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 + 16 - 10)*(-449 - 14*s + 449 + (2 + 0 + 1)*(-3*s - s + 2*s)) as v*s + c and give v.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*a - 4*a**2 + 67*a + 70*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 32, -0.1, 5 in decreasing order.\nAnswer: 32, 5, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 5*m - 4*l - 24 = 0, 5*m = 4*l + 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 7 - 3*c + c. Let s be x(5). Suppose 2 = -2*j - 2*h, 5*j - 4 = -4*h + s*h. Solve -5 = -j*q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 2*t**2 + 4*t + 2. Let v(m) = 7*m**3 + 5*m**2 + 9*m + 5. Determine 5*h(s) - 2*v(s).\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07019 + -0.0701967319. What is a rounded to seven decimal places?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-7) - (-8010)\/(-21). Let b = u - -180. Let f = -1820\/9 - b. Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 less than -3\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 46057825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + 32*t. Let f be q(6). What is the highest common divisor of f and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 204022 and -3.\nAnswer: 204019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3*n**4\/4 + 3*n**2\/2 - 2*n - 9. What is the remainder when 5 is divided by m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 538 - 272. Let a be 0 - ((-2)\/(-1) + -448). Let m = a - r. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-6 - (11 + -9 - 22))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4403221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*9\/(-6) + (-2 - 0). Suppose d + 941 = h*n, 4*n - n - 2*d = 702. What is the least common multiple of 14 and n?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-2 + (17 - 8)) - (11 + -6 + -120).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411259 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9379, -9378, -9377, -9376?\n\"Answer: p - 9380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -23*v**3 + v + 6. Let n(c) = 24*c**3 - c - 7. Let w(g) = -7*m(g) - 6*n(g). Calculate w(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102331*c**2 + 204654*c**2 - 102331*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3518, 7203, 10888, 14573?\nAnswer: 18258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 947304.1 nanometers in millimeters?\nAnswer: 0.9473041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/30*-5*6. Suppose y = -t + h*t - 6, 4*t = -4*y + 8. Suppose 0 = -6*z + t*z + 32. Solve m = -5 + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40040, 39990, 39908, 39794?\n\"Answer: -16*c**2 - 2*c + 40058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 7*x + 24. Suppose 0 = -5*b - 2*a + 45, 3*b + a - 5*a - 1 = 0. Suppose -y + b = -29. What is the greatest common factor of x and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -30, -3 in increasing order.\nAnswer: -30, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -13. Suppose -14*a + h = -11*a. Calculate the least common multiple of 35 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-28)\/8) + 5. Suppose 2*z + 6 - 16 = -4*k, -5*z = -h*k + 1. Solve 0 = q + 5*v - 23, -5*q = 2*v - 6*v + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.1. Let z = o + -0.3. Let f(r) = -r - 8. Let n be f(-5). Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**3 - 2677782*d**2 + 2677782*d**2.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -1, 6\/19, 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-88)\/(-12) - 0). Which is smaller: -9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -701, -2849, -6429, -11441, -17885, -25761?\n\"Answer: -716*d**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -27 - (10 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eereererrreeee.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 679140*x + 10187550.\nAnswer: -2*(x - 339585)*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -37, -154, -381, -754, -1309, -2082?\n\"Answer: -6*k**3 - k**2 + 2*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 2, b: 7, i: 1, k: 1, o: 3}. Give prob of sequence kbb.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w - 214*w + 2196320 = 0. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 308 (c) -0.00613 (d) 0 (e) 5 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (7 - 10)) + 2 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 26 + 29. Suppose -4*t - x + d = 0, 2*t - 2*x = 3*t - 8. Let h be 1\/1*17 - -1. Calculate the greatest common factor of h and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314905247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from {u: 1, q: 2, f: 2, t: 1, z: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxxd when four letters picked without replacement from {u: 4, k: 7, n: 1, x: 4, d: 2}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -18414\/2609?\nAnswer: -18414\/2609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 424901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 17 = -a - 2*a, 0 = 4*a + 3*z + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112290411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 - 837.04. What is the nearest to -2 in s, -5, 2\/7, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11383621 is divided by 378?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -7*b**5\/330 + 17*b**4\/44 - 14*b**3\/33 + 8*b**2 - 6*b + 3. Let c(w) be the first derivative of n(w). Solve c(h) = 0 for h.\nAnswer: 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 3. Let x be 2*w*(-5)\/2. Let h(a) = -a**2 - 6*a - 3. Let m be h(-2). Solve 5*u + m*j = -x, 0*j = 2*j + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16434?\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1168 by 4.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let j = -53 + 81. Let i be (-8)\/j + 32\/14. Let b(f) = 0 + i - 7 + 3. Calculate -5*b(r) - 2*y(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from vvvvvvvoovvvovv.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 121*x - 581160 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/4 or 0.3321?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3 + 2110640*c**2 + 556841708544*c - 4454868750336 = 0.\nAnswer: -527664, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 11*g + 513. Let s be (-19)\/(-20) + g\/76. Find y, given that 0 - 2\/5*y - s*y**4 + 2\/5*y**3 + 1\/5*y**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -715060034*g*z**3 - z**3 - 65725978*z**2 wrt g?\nAnswer: -715060034*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9372 and 2712930.\nAnswer: 385236060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, -5\/6, 174550, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggeeded. What is prob of picking 2 d, 1 e, and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123.82 + 123.94. What is the closest to 0.3 in 5, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12697 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.75 - -7.85. Let s = m + -2.1. What is the closest to 1 in 3, s, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*r**2*w - 15*r**2 - 2*r*w with respect to w.\nAnswer: 25*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.06, -3\/4, 10\/9, 2, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 8 + 19. What is the closest to -0.3 in f, 10, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 36 = -l. Let t be (3\/4)\/(l\/(-84)). Suppose -5*p = t*y - 104 + 19, -2*y = 10. What is the remainder when 78 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/(f\/f**(-5))))\/f))**22 assuming f is positive.\nAnswer: f**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10055 and 19850?\nAnswer: 39918350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -16*y**2 - 488*y + 13. Give l(-30).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(-4 + -4 + (-2 + sqrt(2))**2) + ((sqrt(70)\/(2*sqrt(5) + sqrt(5)))\/((sqrt(196)\/sqrt(4))\/sqrt(7)))**2.\nAnswer: 434\/9 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255410 - -1?\nAnswer: -255405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 5037310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 1\/201 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + 2*o)*(-19 + 11 + 13)*(0*o - 2*o + 0*o)*(5 + 1 - 2).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - h**2 - 749 - 570*h**3 + 569*h**3.\nAnswer: -h**3 - 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.81 + 88.81. Let f = -143 + c. Let z = f - -55.0053. Round z to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g + 29*g + 10*g + 101 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/5 (c) 0.2 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9167 + 12182. What is the second smallest value in o, -1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -76, -0.4, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000268187 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568276 is divided by 518?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Let j(w) = -w**2 + 2*w + 3. Let r be j(2). Suppose -35 = -r*p - 2*p. What is the remainder when p is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11*n = -8*n - 154, 5*g = 4*n + 362. Suppose 5*a - g = -5*y + y, -90 = -4*y + 3*a. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -149, -1, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 11*c + 16. Suppose 4*a = 2*a + 4. Suppose 40 = -6*y + a*y. What is the units digit of g(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(20\/(-2)))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.69141 millilitres?\nAnswer: 0.00069141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 473 - 270. Factor 198*j**2 - 402*j**2 + m*j**2 + j**3.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, t: 1, f: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -74*w**2 - 24*w + 5. Let r(d) = -37*d**2 - 13*d + 3. Let k(u) = 4*l(u) - 7*r(u). Let p(y) = 9*y**2 + y. Calculate 2*k(c) + 9*p(c).\nAnswer: 7*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -31*h + 195 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 3 - 13) + 10 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*z - 2. Let q = -14 - -16. Solve -q*j - z = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110130 + -1113?\nAnswer: 103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(2652\/86190).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(0*g**5 + g**5 - 2*g**5) + (5*g - 5*g + 2*g)*(17*g**4 - 10*g**3 + 12*g**3 - 5*g**3).\nAnswer: 35*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let p(u) = 3*u + 135476. What is p(m(g))?\nAnswer: 6*g**2 + 135476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50613646 is divided by 37603.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 - 4*g + 3. Calculate b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008078 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x + 4*q, 4*q = 3*x. Suppose x = u + 2 - 4. Let a = -14 - -20. Solve -u = -2*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -186, -433, -800, -1299?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 8) + 25 - 10) + 0 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3+-268695776\nAnswer: -268695773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 21 = 6*l + b, 0 = 5*b - 25. What is the remainder when (-2 - l) + 274 + -2 + 8 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 3*c)*(0 + 0 - c - 2*c + 0*c + 3*c + (0 - 1 + 0)*(-c + 0 + 0)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -460.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 5*b**2 - 3*b - 6. Calculate the remainder when 292 is divided by p(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -w - 9. 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: Let r(t) = 8 - 5*t**3 - 6 + 7*t**3 - t. Determine r(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (114\/4)\/(21\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g = 7604 - 20881 - 18538. What is the highest common factor of 4005 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 + 0 - 8 + v to the form r + u*v and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1786537, 3571994, 5357451, 7142908, 8928365?\n\"Answer: 1785457*v + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:05 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16751\/17 - 985. Let f = 0 + 6. Suppose 0 = -2*d + f*d. Is d at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - 4*p + 0*p)*(71*p - 158*p + 65*p)*(0 + 1 - 3)*(-2 - 4 + 4) as v*p + j + c*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/13143 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 4*k**2 + 4*k - 4. Let b be m(2). Let y be ((-40)\/(-84)*49550 + 2)\/b. Let a = -5897 + y. Find the common denominator of a and -101\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(0 + 1\/2). Suppose 0 = -2*o + 2*h, 0*h + h + 4 = -3*o. Let y be o*(-3 - 0) - u. Solve -5*c + 4*d + y = 0, 10 = 5*d - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 30. Let q be (-6)\/(-10)*4\/(-6). Which is the closest to q? (a) w (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*f + 5*v, -13 = f - 4*v + 3. Let j be 42*((-1)\/2 - -1). Suppose f*z - j = -5. Put -0.2, -5\/4, z in decreasing order.\nAnswer: z, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 731 = -5*c, c - 25 = 6*c. Calculate the common denominator of (-2)\/9 + 1110\/b and 11\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 2. Let l = 6 - 3. Let o(w) = 7*w - 4. Let z(b) = l*o(b) + 5*s(b). Let a(j) = -j**3 + j**2 + j - 3. Let n be a(0). What is z(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140+-141\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10218 and 1014.\nAnswer: 132834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 3*m + 4*m)*(m - 5*m + m) - 15 - 56136*m**2 - 9387*m**2 + 8136*m**2 - 11 + 26 to the form t + z*m + r*m**2 and give r.\nAnswer: -57390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26363446 rounded to four decimal places?\nAnswer: 0.2636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - q = 2*d + 43, -5*q - 68 = 3*d. Let x = d - -92. Suppose 3*c - 2*h = 54 + 60, 0 = 2*c - 3*h - x. Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o - 1. Let v be 3*((-10)\/6 + 1). Is s(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58895 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -42. Let m(p) = -4 + 353*p - 170*p + 12*p**3 - 178*p - p**2. Let b be m(2). What is the greatest common divisor of t and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -807 (base 14) in base 10?\nAnswer: -1575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 - 127*o**2 + 380*o - 132 = 0.\nAnswer: 2\/5, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2\/7, 3\/2 in descending order.\nAnswer: 3\/2, 1, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 63237+-2\nAnswer: 63235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let y = 6 + -4. Let j(w) = w**2 - 3*w**2 - y*w**2. What is j(h(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 46*f + 287. Give m(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 5 - (-8 + 7 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/175*10\/4. Let g = 0.07 + 0.33. What is the closest to -1 in a, 0.5, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69141 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 6 = -6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - -40.5?\nAnswer: 106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 - 3\/5*p**5 + 0*p**3 + 1\/2*p**4 + 1\/10*p**7 + 0*p - 9\/40*p**6 - 18*p**2. Factor d(l).\nAnswer: 3*l*(l - 2)*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (3*sqrt(75))**2 - (sqrt(75) - (-3*sqrt(75))**2 - sqrt(75)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 255*k**2*y**3 - 2465*k**2 - 2*k*y - 64886*y**3 + 9 wrt k?\nAnswer: 510*k*y**3 - 4930*k - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2660, 2690, 2746, 2840, 2984, 3190, 3470, 3836?\nAnswer: 4300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 361 (base 9) to base 12\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511307 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 38*z**2 - 2*z + 41. Let o be g(19). Let i = 226 - 228. Sort i, o, 4 in descending order.\nAnswer: 4, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 - 296*c**3 + 32*c**3 + 34*c**3 + 52*c**3 + 153*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*6*(sqrt(1700) - (sqrt(1700) + -1 + sqrt(1700))))**2*-2 - (3 + sqrt(1700) + 0 + sqrt(1700) + -1)**2*-2).\nAnswer: -1905120 + 23680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327.2691634576 + 2.2.\nAnswer: -325.0691634576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 12 + 260)*(1 - 51). Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340.5673608 + 254.56736. Let x = j + 86. What is x rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 9 + 1\/8*c**4 + 0*c - 1\/10*c**5 + 13\/30*c**6 + 0*c**3 - 3*c**2. What is the third derivative of r(z) wrt z?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iohfohhhhooiiioo. What is prob of picking 1 h and 1 f?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5593869 rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54 - (-22 - -145 - 45)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32279, 32692, 33105, 33518?\nAnswer: 33931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) - ((-80)\/32 + -3)*134. What is the highest common divisor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 + -0.48805523?\nAnswer: 0.38194477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1470 - 2?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -41, -98, -187, -314, -485, -706?\n\"Answer: -f**3 - 7*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29515363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -0.2 (c) 0.1 (d) 4 (e) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 169. Let l be 1020\/(-136)*(-36)\/(-5). Let q = g + l. Let f(x) = -x**3 + 6*x**2 - 6*x - 3. Calculate f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 615*f**3 + 11500*f**2 + 55680*f + 44800 = 0.\nAnswer: -8, -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyuuyyuyuuyyu. What is prob of picking 2 y?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -4 - (-4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 8*d + 5. Let v be (-6)\/(-45)*6 + (-420)\/(-100). Let o(u) = -3*u**2 + 7*u - 5. What is v*x(z) + 6*o(z)?\nAnswer: 2*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 20 = -5*l, -p = l + 2*p + 4. Let o be (-3)\/(l\/(16\/66)). Which is the nearest to 3? (a) 3 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -21, 7, 55, 129?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22*i. Let h(j) = 46154*j**2. Give u(h(m)).\nAnswer: -1015388*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 3*u + 20, 2*x - 5*u = 2. Let f = x - 12. Let t(d) = 16*d**3 - 6*d**3 - 4*d**3 - 3*d**3. Calculate t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966025 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/22 - 6\/33. Suppose 0*b + 2*b - 40 = 2*f, 0 = b + y*f - 20. Calculate the remainder when 78 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 6) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -545595 or -0.019?\nAnswer: -545595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/3 - 7*d**4\/12 - 6*d. Find the third derivative of x(i) wrt i.\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) + -2))**2 + ((sqrt(19) + -1)*-2 + sqrt(19))**2 - ((sqrt(209)*1*-2)\/(sqrt(11) + 1*sqrt(99)))**2.\nAnswer: -8*sqrt(19) + 165\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 42, 2 in ascending order.\nAnswer: -73, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 - 246\/(-12). Suppose u*a - 14*a = 30. Let f(j) = j**3 - 6*j**2 + 6*j - 9. Let k be f(a). Calculate the greatest common divisor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, 2, 1, -379 in descending order.\nAnswer: 2, 1, 0, -31, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by -240.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(400\/160)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 11*c - 6. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 at least -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 - 8*r - 3. Let y(u) be the first derivative of -3*u**3 + 9*u**2\/2 + 4*u + 124. Give 7*a(t) + 6*y(t).\nAnswer: 2*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 14.88. Let w = -0.88 + f. Let l = 0.05 + 0.25. Put w, l, 3 in increasing order.\nAnswer: w, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -155a - 72?\nAnswer: -15cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7106 + 7165. Let f(p) = -p**3 - 4*p**2 + 3*p + 5. Let z be f(-6). What is the highest common factor of m and z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)\/l**(-3\/4))**(3\/34)*(l**0)**46\/(((l**2*l)\/l*l)\/l**(2\/15)) assuming l is positive.\nAnswer: l**(-11561\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -819.01 - -819. Suppose 6*k + 15 = k. What is the nearest to z in 0.1, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.3 (b) 1\/5 (c) 4 (d) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(7\/4) + 3. Suppose -7 + 2 = -5*h. Suppose 3*j + 8 = -h. Sort v, j, -2.\nAnswer: j, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3 + 9*g**3 + 4*g + 7*g - 2*g**3 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(-12 + 8 - 300*o - 84*o + 6).\nAnswer: -1152*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182) + -3*sqrt(182) + sqrt(182) + sqrt(182))\/sqrt(7))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1378, 4578, 9628, 16528, 25278, 35878, 48328?\n\"Answer: 925*c**2 + 425*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a8 + -2079?\nAnswer: -3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(-1 - 3 + 1)*(5 + 1 + 2).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 11*b + 4. Let p be q(11). Suppose -2*s + l = 2*s - 159, 5*l - 141 = -p*s. Is 14 a factor of -16 - -14 - (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 341 in increasing order.\nAnswer: -2, 1, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1008) - (sqrt(1008) - sqrt(1008)*-2) - sqrt(1008) - sqrt(28)*2*2))\/((5*(sqrt(144) + -1*sqrt(144) - sqrt(144)) - sqrt(144))*-6)*4.\nAnswer: 55*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + 0 - 6120\/153. Let p = -2\/17 + 25\/68. Sort f, -1\/2, p, 3\/2 in ascending order.\nAnswer: f, -1\/2, p, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1170938*l**3 + 1540*l**2 - l + 280?\nAnswer: -7025628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1566 = 4*j, 3*u - 5*j + 818 = 4*u. Suppose -t - 24 = -27, 2*b - u = t. What are the prime factors of b?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201 - -343\/2. Calculate the common denominator of 83\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 2*i + 5*i + i**3)*(5*i + i - 4*i + (2 - 5 + 2)*(-2*i - 2*i + 2*i)) in the form x*i**3 + n*i**4 + b*i**2 + s + g*i and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(112) - sqrt(7)) + -3)**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*f - 39794 = 0, 2*w - 79624 = 180*f - 178*f. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82360156 to the nearest integer?\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 16, 30, 2231 in descending order.\nAnswer: 2231, 30, 16, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 + 2*l)*(46 + 23 + 57 - l**2 + (4*l - 2*l - 4*l)*(-2*l + l - 2*l)) as i*l + a + v*l**3 + f*l**2 and give i.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, 0, -1.76 in descending order.\nAnswer: 1\/25, 0, -1.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:53 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 5*w + 6, y + 5*w = -3. Solve -16 = -5*b - y*g, -2*g = -4*b - g + 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*a - 32 = -356*a + 180*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7633*g - 33 = -4*b - 7634*g, 3*g = -2*b + 109 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 368, 766, 1306, 1988, 2812?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5734 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k - 3351 = -105*k + 6009. Calculate the smallest common multiple of 34 and k.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/224 and -11\/256.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 + 7*n**3\/3 - 4*n**2 + 3*n + 7. Let v be d(-8). Let p = 2 - 0. Solve -c - 1 = v*b - p, -3*c = -b - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:34 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(-3*o + 3*o - o**3) + 2*o**3 - 3*o**3 + 3*o**3 + (0*o**3 + 7*o**3 - 4*o**3)*(-2 + 2 + 4) to the form w + n*o**2 + p*o**3 + t*o and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**2*r**2 - 2*h**2*r - 31*h**2 - 210*h*r**2 - 28*h*r + 2*r**2 wrt r.\nAnswer: -14*h**2 - 420*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-2))\/2 + 0. Let x(q) be the second derivative of q**4\/2 + 5*q**3\/2 - 4*q**2 - 106*q. Calculate the remainder when x(h) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*64\/280 - 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5252.000001526 + 5252. What is k rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 1908345?\nAnswer: 41983590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2. Let d(h) = -h**2 + 8*h - 7. Let n be d(7). Let r(v) = n*v + v + 2*v. Calculate q(r(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-2)\/v)\/v)\/v)\/v*v*v*v\/((v\/(v\/(v**(-7)*v)*v)*v)\/v)*v\/(v*v**(2\/5)\/v)*v**(-5))**(-12\/11))**(1\/93) assuming v is positive.\nAnswer: v**(8\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/16 - (-1 - (-21)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5400, -5323, -5208, -5037, -4792, -4455, -4008, -3433?\nAnswer: -2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(2\/19)*a))\/a)\/a*a*a**7*a assuming a is positive.\nAnswer: a**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444 divided by -111.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 3*p. Let q(i) = -4*i - 8*i + 2*i + 8*i. Calculate z(q(g)).\nAnswer: 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 0 + z + 0*z**2 + 0 + 196289*z**4 + 2*z**2 - 196369*z**4 to the form l + v*z**4 + g*z + i*z**2 + c*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 - -1321\/6. Suppose -u = 5*o - 0*u + 99, 82 = -4*o + 2*u. What is the second smallest value in r, o, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + 5*x**2)*(5 - 4 + 0) + 2*x**2 - 5*x**2 + x**2 + (-4 + 4 - x)*(5*x + 0*x - 4*x) - 34*x + 34*x + 13*x**2 + x**2 - 4 + 4.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -15*w + 6*w**2 + 0 + w - 34 - 20*w**2. What is the hundreds digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25183*t**2 + 3*t - 28 - 25166*t**2 - 4*t to the form k*t + b + x*t**2 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 13*x**2 - 6*x - 10. What is the units digit of j(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -10*y - 4. Solve -4 = -2*k + y*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 + (6 - (3 - 0))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(17) + -4 + (sqrt(1088) - (sqrt(1088) + sqrt(1088) + -2 + sqrt(1088)))**2 + (-2*sqrt(170))\/sqrt(10).\nAnswer: -64*sqrt(17) + 4347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 2*b**3 + 10*b)*(-5*b + 6*b + 5*b) + (-2 - 1 + 4)*(0 - 2*b**4 + 0).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:02 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9776*h = -9786*h - 2*i - 52, 2*h - 2*i + 8 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 54.95. Let t = -0.3 + 0.25. Let x = t - d. Which is smaller: -13 or x?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279\/286 - 3\/26. Put 3\/5, 4\/5, h in decreasing order.\nAnswer: 4\/5, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599120283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -166. Suppose -p - 13*z + 8*z + 2 = u, 2*p + 4*z - 4 = 0. Solve -1\/9*o**3 - 5\/9*o**p - 8\/9*o - 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from jxxxyxxxxxjxyx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(475) + 3) - ((-4*sqrt(57) - sqrt(57))\/sqrt(3) - (sqrt(1900) + 0))**2.\nAnswer: -4271 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6*g + 2 + 3.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 6*a + a + (-4 - 3 + 5)*(0*a - 4*a + 2*a) + 4 - a - 4 + 7*a + 17*a + 4*a + 2 - 2 - a in the form w + v*a and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6416290 divided by 2?\nAnswer: 3208145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*l**5 + 4 - 4 + 278*l**5 + 9*l wrt l.\nAnswer: -220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z + 5*t, -z = -t - 0 - 6. What is the third derivative of 0*j**2 - 6*j**2 + 8*j**2 + 5*j**z + 4*j**2 wrt j?\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3*x**5\/20 + 5*x**4\/4 - 7*x**3 - 9*x + 76. Factor s(m).\nAnswer: 3*m*(m - 2)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 39*q = -126 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 110. Let o be p(0). Suppose -40 = -2*g + w + o, g = w + 75. Let b be (75\/(-4))\/((-51)\/136). Calculate the greatest common divisor of b and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(0*y + 4*y - 2*y) + 2*y - 5*y + y - 4*y - 3*y + 3*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/24 - 5*n**3\/6 - 151*n**2. Let l(v) = -36*v + 60. Let j(a) = -12*g(a) - l(a). Let i(b) = 2*b. Give j(i(c)).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-11\/4)\/(u**4\/(u*u**(-2\/7)*u))*u**(2\/7)*u*u*u\/(u\/(u\/u**0*u))*u*(u**(-1)*u)\/(u*u\/(u**(3\/4)\/u)) assuming u is positive.\nAnswer: u**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 5. Let x be 4\/p + (-7)\/(-9). Suppose 0 = o + x - 6. What is the greatest common divisor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 4) to base 9.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146191427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -2*z, 3*z + 3*t = -5 + 14. Suppose -3*m + a + 5 = 0, -2*m - 5*a = -a + 20. Let q = z - m. Solve -3*v - q*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + m**2 - 3*m**2 + (m + m - m)*(3*m - 6*m + m) as v*m**2 + p*m + i and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (42 + -34 - 53)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, h: 7, s: 2}. Give prob of sequence qqh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s + 18*s + 16*s**4 - 5*s + (4*s**2 - s**2 + 13*s**2)*(0 + 2*s**2 + 0).\nAnswer: 48*s**4 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26479, 55823, 85167, 114511, 143855?\nAnswer: 173199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175403463?\nAnswer: 3, 79, 740099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*u - 92 = -1451*u - 4*o, -5*u - 122 = 11*o for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5124 + 5158. What is the remainder when 80 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 9 - (-440)\/75?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34347 + -471?\nAnswer: -35040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6393928234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395.8 - 396. Suppose -2 = 215*j - 216*j. Which is the closest to j? (a) x (b) -11 (c) 4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.4 - 37.4. Is f greater than 1690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.9 - -63. Sort 3, 2, h, 1\/9 in ascending order.\nAnswer: h, 1\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 236*z + 2360. Let c be q(10). Calculate the highest common factor of 48 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*s = -4*i + 79, 0 = -4*i + 5*s + 47. Suppose -7*v + 45 + i = 0. What is the remainder when 26 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + k + 1. Let r(n) = -31*n**2 + 360*n - 8. Calculate 6*q(l) + r(l).\nAnswer: -l**2 + 366*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21329*d. Let o(a) = 89*a. What is g(o(w))?\nAnswer: 1898281*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**2 + 378*n + 700. Let j(c) = 2*c**2 - 188*c - 352. Let d(v) = -5*j(v) - 2*u(v). Factor d(p).\nAnswer: 2*(p + 2)*(p + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -36841369509735?\nAnswer: -36841369509735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 3, 17, 35, 57, 83, 113?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 12*v**2 + v - 8. Let r be g(12). Let w be (-51)\/(-63) - r\/6. Sort -0.4, -1, w in ascending order.\nAnswer: -1, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36451282 to the nearest integer?\nAnswer: 6037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i. Let r(m) = m**2 - 1345*m - 1. Calculate r(x(b)).\nAnswer: 225*b**2 + 20175*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223988 or -223993?\nAnswer: -223993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - u - 2*u + 4*u - 3*u + (3 - 3 + 6*u)*(6 - 5 - 2))*(-u**3 + 1 - 1) to p*u**4 + a + n*u**2 + c*u**3 + g*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4708026?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let v = z + 1. Sort 0.1, v, 4 in descending order.\nAnswer: 4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 311. Let y = f + 280. What is the greatest common factor of 147 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/58 and -38\/135.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000011 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*b = -32, -5*m + 0*b = -5*b - 5. Let i(h) = -4*h**2 + 31*h - 12. Is i(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -629*i**2 + 18. Let v(q) = -172974*q**2 + 4953. Let y(a) = -1651*u(a) + 6*v(a). Let t(w) = w. Determine t(y(j)).\nAnswer: 635*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 17*g**2 + 36*g - 225. Calculate i(9).\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71948477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 281\/4*(-5)\/2. Let l = -174 - a. Find the common denominator of l and -57\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, y: 7, m: 2}. Give prob of sequence syys.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t = t - 81 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 8) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22565 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let n be 548\/6 - 1\/b. Let k be (-3)\/(-7) + 3\/n. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + o = v - 4, -o = 0. Let c(p) = -p**3 + 8*p**2 + 10*p - 6. Let g be c(9). Solve 3*j**4 - 4*j**4 + j**g - j**v - 3*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 - 5\/7*r**2 + 1\/7*r.\nAnswer: -(r - 1)*(5*r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 + -211.3. Let t = 36 + f. Which is the smallest value? (a) 1\/4 (b) 11 (c) -2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 33*d - 385. Calculate the remainder when 359 is divided by s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1094*f. Let r(l) = 2*l**2. Calculate p(r(b)).\nAnswer: -2188*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.13 (c) -0.2 (d) 3 (e) 0.45 (f) -5\/8 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41163 minus -262542004?\nAnswer: 262542003.58837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*w + 44 + 1 + 1261*w**2 - 34 wrt w?\nAnswer: 2522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(-2\/61) assuming k is positive.\nAnswer: k**(-4\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*q - 17. Let v = q - -29. Calculate the remainder when 57 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:26 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*w, 0 = -547*w + 545*w - 3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43421131 (base 5) in base 6?\nAnswer: -12000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66\/(-16) - 1\/(-8). Let b(l) = -l**3 - 5*l**2 - 4*l - 5. Let z be b(u). Let f(a) = a**3 + 8*a**2 + 2*a - 7. What is the units digit of f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g. Let f be y(1). Suppose 72*t = 301*t - 3200 - 1380. Solve t = -f*i + 2*i - 5*o, 0 = 5*i - o + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1853822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/9 + 4\/6. Suppose -2*k + 101 = -5*n, 3*n + 103 = x*k - 0*k. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/23, -30, -5 in ascending order.\nAnswer: -30, -5, -26\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 857*t**2 - 18*t - 11. What is q(-1)?\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -30*i**2 - 3*i - 26. Let v(f) = -14*f**2 - 2*f - 12. Let d(g) = 4*k(g) - 9*v(g). Is d(-16) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1 - 2 - 1 + 2*g + g. Let k be 0*2\/(-2) - 2. Let p(a) = -4*a + 3. What is k*p(s) - 3*o(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3651\/6*(9419 - 1). Let x = 11369151 + g. Suppose -d = 3*n - 3*d + x, -5*d = -5*n - 28500010. What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -120 + (-75 - -170)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5917*w - 5937*w + 5*p + 290 = 0, 4*w - 60 + 10 = 5*p for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -926*g - 165*g - 3026*g - 158*g as o*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77\/87 - 16\/29. Which is the fourth biggest value? (a) 7 (b) -3 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268019441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10106292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3113502 and 10378340.\nAnswer: 31135020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2064 - 901. Let r = s + -664. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -246080319*x**3 - 170123981 wrt x?\nAnswer: -738240957*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15115582.\nAnswer: 2, 89, 84919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7344\/115 - -318\/5. Let y = r - -65\/161. Let t be 93\/(-18) + (-1 - -6). What is the smallest value in 2, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 2.17. Which is the closest to 0.1? (a) -1\/2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - -57722?\nAnswer: 57762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6615, -6619, -6587, -6519, -6415?\n\"Answer: 18*k**2 - 58*k - 6575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + y - 53 = -v, -2*v = 3*y - 110. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*x - 9*x**2 + 1197*x - 602*x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5566 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 22*n + 28. Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27396, 109830, 247212, 439536, 686796, 988986, 1346100?\nAnswer: 1758132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = c, -3*c + 3 = -4*h. Suppose -5*y - n - 240499998 = 0, 3*n + 192399994 = -4*y - h*y. What is y rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -347 + 347. Is d at least as big as -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 286. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -31*j**3 - 36*j**2 + 9*j + 54. What are the prime factors of l(-7)?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = -13*m + 389. Let f(s) be the third derivative of 1\/8*s**6 - 1\/70*s**m + 7\/8*s**4 - 9\/20*s**5 + 0 + 0*s + 8*s**2 - s**3. Factor f(n).\nAnswer: -3*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 19. Let l(i) be the first derivative of i**2\/2 - 4*i + 2968. Let a be l(x). What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9))**(6\/5)*a\/(a\/(a\/(a\/(a\/(a\/(a**(-11)*a)*a))*a*a*a*a))*a)*a**(-2\/43) assuming a is positive.\nAnswer: a**(-5772\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -40, -87, -152?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + 268\/748. What is the closest to 2\/3 in 3, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/504 and 20\/81?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6958 and 2.\nAnswer: 6958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 11*i + 4. Let z(n) = 2*n**2 - 21*n + 8. Let w(f) = 7*c(f) - 4*z(f). Let p be w(6). What is the closest to 1 in 3\/7, -4, p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/60 - m**4\/24 + m**3\/2 - m**2. Let a be o(3). Does 9 divide (6\/a)\/((-6)\/(-99))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -10846 in ascending order.\nAnswer: -10846, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**2. Let d(p) = p - 2. Give w(d(m)).\nAnswer: 13*m**2 - 52*m + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*d**2*o*p**3 + d**2*p**3 - 83*d*p**3 - o*p**3 wrt o?\nAnswer: -137*d**2*p**3 - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a86 (base 14) to base 15.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/1321 (b) 5 (c) 1 (d) -2\/15 (e) -4 (f) 2\/15 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6316 + 1.9316. Put -0.7, 0.2, 0.17, p in decreasing order.\nAnswer: p, 0.2, 0.17, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 82*w**3 + 10*w + 5*w.\nAnswer: 82*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 548646 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 3, 2, 2\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vclllhlll. Give prob of picking 1 h and 1 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421488 is divided by 8781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 656*a - 260*a + 477*a = -13104, -j - 33 = 2*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106578732 is divided by 1545.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p - 6 - 57*p + 49*p - 129*p + 5.\nAnswer: -227*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 39. Let k(c) = -11*c**3 - 2*c - 6. Let n(a) = -21*a**3 - 3*a - 13. Let m(d) = l*n(d) + 13*k(d). Find the second derivative of m(y) wrt y.\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 4*c**4 - 2*c**4 + (3 + 2*c**4 - 3)*(-2 + 1 + 3) - c**3 + c**3 + c**4 + 2*c**4 + 0*c**4 + c**4)*(22*c + 9*c - 3*c).\nAnswer: 168*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964525.\nAnswer: 5, 41, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/12 - 2*q**3 - 4*q**2 - q. Let h be a(-11). Suppose -h*f + 6 = -27. What is the greatest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z**2 + 750*z - 2269. What is w(3)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 31 = 5. What is the least common multiple of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 360331 and 0.016151.\nAnswer: 360331.016151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -106 + 125 + -35\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*u + 2*u + 10, 2*u = 2*r + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 70, 10, -74, -182, -314?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 103, 106, 111, 118, 127?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -21. Suppose -f = f + n. Let g be 4*(-4)\/f*-1. Let x(b) = -13*b**3 + 2*b**2 + 2*b + 1. What is x(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:44 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, x: 10, y: 4}. Give prob of sequence ybbx.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10221*n - 10246*n = -4100. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 1024\/5. Are p and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25945 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11231603 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -49. Let j be 2\/(-6)*h\/(-13). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559531927.\nAnswer: 3, 853177309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3. What is the remainder when x(0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*l)*((0*l**2 + 12*l**2 - 4*l**2)*(-8*l + 10*l - l) - 2*l**3 - 4*l**3 + 4*l**3).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and 76988?\nAnswer: 4696268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6684 (base 9) to base 11.\nAnswer: -3788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 32*g + 0*g - 283 - 123 = 0, -4*g + 62 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58d63 + -4?\nAnswer: 58d5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 = -3*u, -2*u - u - 5*g + 11 = 0. Let i = 3 + -2. Calculate the lowest common multiple of i and u*4\/(-12)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1700) + 4*sqrt(1700) + -5 - sqrt(1700))**2 + (-6*(sqrt(1700) - (0 + sqrt(1700) - sqrt(1700))) - (0 + 1*sqrt(1700))).\nAnswer: -470*sqrt(17) + 27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 26*h + 123. Let i be n(-6). Let k be (-30)\/(-12)*(i\/(-9) - -5). Determine p so that 10\/3 + k*p**2 - 15*p = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqq when three letters picked without replacement from kwqqqqkwqkwwwwwkqkq?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*r - 7764 = -197*r + 9942 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {p: 1, b: 1, f: 2, s: 4, g: 2, d: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1*(-10)\/20. Let o be 0 + p + (0 - -1). Suppose 4*q - 158 = 2*j, o = -3*q + 3*j - 26 + 149. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*g - 0*g + 4, 3*g - y = 5. Let o be 4*((-20)\/8 - -1). Let x = 4 + o. Is g at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 19*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:45 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 377767493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*f**2 - 4)*(-14 + 4*f - 7 + 19) as d*f + m + y*f**3 + u*f**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 24. Suppose -u = q + 4. Let n(g) = g**2 + 8*g - 6. List the prime factors of n(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -0.2, -19, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 62. Let w(v) = 41. Let g(x) = 3*w(x) - 2*y(x). Let r(n) = -n**2 + n - 6. Calculate 14*g(f) - 2*r(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y + 369173 + 1320822 + 749923 = 0. What are the prime factors of y?\nAnswer: 3, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = 2, x = 2*l + 3. What is the lowest common multiple of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s**2 + 5*s - 2 - 1 + s**3 - 32*s**2. List the prime factors of i(10).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 35000. Suppose -2*l = -5*h - 3*l + 1, 0 = h + 3*l - 3. Let r be t(h). What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 452 = -488 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.89500235575015.\nAnswer: -0.49500235575015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:10 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1651 and 988.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4027 - -4025. Put 0.2, -0.4, 7, j, -3 in increasing order.\nAnswer: -3, j, -0.4, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 2*d, -5 = -4*n - 3*d + 41. Suppose -4*g + n = 2. Suppose g*l = 5*l - 9. Solve -q = -5 + l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + -118 - (-1 - -1 - -2) - -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 32*h**4 - 20*h - 20 - 60*h**4 + 30*h**4 + 0*h. What is the first derivative of l(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 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 h = -77 + 76.8. What is the biggest value in 4, h, -1\/4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238.6 - 238.5985304. Round q to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*x + 5*x, k + 60 = -x. Let g(t) = -175*t + 63. Let c(o) = -5*o. Let d(y) = 4*y - 1. Let r(j) = c(j) + 4*d(j). Determine k*r(l) - 4*g(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbhfnyh. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 6*g - 11. Let y(o) = 2*o + 2. Let z be y(3). Let s be j(z). Let p be 2\/7 - (-57)\/21. Solve -p*a - 22 = -5*u, -5*u - s*a = -0*u - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16833 - 17508 + 35071)*(-2*a**2 + 3*a**2 - 3*a**2)*(-3*a + a + 4*a) to the form s + l*a**2 + k*a**3 + w*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -3 (c) -3\/4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481522358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - (-13 + 211) - (2 - 14 - 1).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29758066 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 - 92 - (2 - 43)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -12*o - 57 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 42?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20.8, 4, 0.4, 0.6, 7.4?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6497 + 5103 = 0. Suppose 3*v = 19*v - b. What are the prime factors of v?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10111 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 1. Let t be w(-2). Suppose 2*i + 3*i = t. Let q be (13\/i)\/((-1)\/(-3)). What is the greatest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -370, 1, 53, 24 in decreasing order.\nAnswer: 53, 24, 1, -4, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/2)\/((k\/(k\/k**(-1\/2)))\/k)*k*k**6*k\/k**2*((k\/(k\/((k*k**(-2))\/k*k)*k*k))**(-2\/11))**(-18\/5) assuming k is positive.\nAnswer: k**(222\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/15 + t**4\/3 - 7*t**2. Factor h(s).\nAnswer: -4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 76*a - 5. Let j(f) = -2*f. Calculate j(p(t)).\nAnswer: 8*t**2 + 152*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2, 2\/5, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011 (base 2) in base 5?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -136*y**2 - 13 + 15 - 134*y**2. Let r(u) = -u. Determine g(r(c)).\nAnswer: -270*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -39. Suppose 0 = -4*n - n + y. Solve n*h = -8 - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - t**2 + 0*t**2)*(-12 + 12 + 2*t) + 6*t**3 - 3*t**3 - t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(((-8460)\/(-144))\/47)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 14 = 0, 5*w - 31 - 20 = -8*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317666 is divided by 7059?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6.5893743 * 0.3\nAnswer: -1.97681229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1187123 (base 9) to base 16.\nAnswer: -9e3f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 147*a - 564. Let q be x(4). Solve -84*w + 76*w = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -31*d**4\/12 - d**3 - 20*d. Find the second derivative of y(u) wrt u.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 24*l**2 - 24*l + 21. Let m be q(-25). Find the common denominator of -16\/141 and m\/18 + 2 + 1164\/135.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -51, 2, 5 in descending order.\nAnswer: 5, 2, 0, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/7 - 137*g**2\/7 + 1541*g\/7 + 529\/7.\nAnswer: (g - 23)**2*(3*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16268592*t**4 + 3*t**2 + 3*t + 441100?\nAnswer: 390446208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 7. Let w(t) = -1. Let b be 11 + 2\/(2\/(-1)). Suppose -4*s = -2*s - b. Give s*w(m) - h(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -2.53176.\nAnswer: -2.43176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 3 = 0. Let p(n) = 3*n - 10. Let r be p(16). Let h be (6\/((-60)\/r))\/((-1)\/5). Solve -4*j = o + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003576317236 to seven dps.\nAnswer: 0.0035763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 + i**2 + 3*i**2 + (2*i + 2 - 2 + (1 - 6 + 4)*(0 + 0 + i))*(-i + 3*i - 7*i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/7 + 82*t**3\/7 + 60*t**2\/7 - 1746*t\/7 - 3645\/7.\nAnswer: (t - 5)*(t + 3)**2*(t + 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from jlzlkzlkyzzzzyzzo?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 + -1 + 4. Let y(v) = v**3 + 3*v**2 - v - 3. Let l be y(-3). Let n be (-2 + o - l)\/1. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750632 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*j + 30. Let u(l) = l - 6. Let a be u(j). Put a, -4, 2 in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 + 0.10225248957\nAnswer: -0.08774751043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 536\/13 - 1903\/78. Calculate the common denominator of n and -23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*h + 765 = 5*h, -370 = -2*t - 2*h. Find the first derivative of -t - 4*a + 4*a + 7*a**2 + 209 wrt a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 678 - 641. Suppose 85 = 3*m - l, -145 = -0*m - 5*m + l. Calculate the remainder when f is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -2*k + 1\/6*k**3 + 0 - 1\/2*k**2 + 1\/24*k**4. Let r(h) be the first derivative of n(h). Differentiate r(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-2 + -3 - 5 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-1)\/(-2) + -2). Let n be ((-4)\/(-6))\/(2\/(-3)). Let r = n + v. Solve 35 = -4*c + 5*t, 2*c + r = -2*t - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -676236 divided by -44?\nAnswer: 15369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 3*g**2 + g**2)*(6 - 3 - 1)*(g + 2*g - 7*g)*(g + 2*g - g) as l*g**3 + d + y*g**2 + c*g**4 + w*g and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1009090.9 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1734\/3059 - 2\/437. What is the nearest to -16 in -0.3, -1, n, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*p + 23*d, 0*d + d + 281 - 246 = 4*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b = 1385. Suppose -100 + b = 3*o. Suppose r + t + o = 5*r, 40 = 2*r - 4*t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**2*w**2 + 739*k**2*w + 57*k**2 - 4661*w**2 + 2*w - 16 wrt k?\nAnswer: 8*k*w**2 + 1478*k*w + 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257126101*k**2 - 299941194*k?\nAnswer: -514252202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -9481*k**4\/12 + 1643*k**3\/2 - k**2\/2 - 12126*k. What is the second derivative of i(m) wrt m?\nAnswer: -18962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6506385 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/1470, -1\/3, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1 (b) 6 (c) -1\/4 (d) -0.28 (e) 4 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 7514?\nAnswer: -217906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105869 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**2. Let t be (12\/(-4) + -2)*(-1004)\/10. Suppose -164 = -9*q + t. What is the smallest common multiple of j(-1) and q?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10 = -f + g, 0 = 3*f - 4*g + 8. Suppose f = 4*w - w - 6. Solve w*l + k = 1, -3*k = l + l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408254?\nAnswer: 2, 3, 79, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*q + 5*q**2 + 126*q**2 - 2 - 3053076*q**3 + 3053077*q**3 to m + s*q**3 + j*q + n*q**2 and give n.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 159*x + 795. Let v be k(-5). Solve v = 3*n - 6, -2*s - s + 5*n - 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyssytvfvyvfys. Give prob of picking 1 v, 1 y, and 1 f.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 17418.38 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 9*l + 3. What is a(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1421?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13182 + 13424. Which is the third smallest value? (a) m (b) -5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*q - 11939, -25*o - 29860 = -30*o - 5*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -114. Suppose -3*j = 5*g - d, 2*g - 7*g - 34 = -3*j. What is the remainder when (-44 - -40)*2*(-102)\/16 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -3*k, 2*o = 5*k - k - 12. Suppose k*r = 27 - 7. Suppose -r*z = -d - 3*d - 60, -4*z = 5*d - 7. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let s = 150 + -149. Let b(m) = 23*m - 3. Let t(a) = -7*a + 1. Let v(o) = -4*b(o) - 13*t(o). What is s*h(y) + v(y)?\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4180 and 23332?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 3198.\nAnswer: 22386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7862135.\nAnswer: 5, 1572427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37979.056 - 37980.6760069. Let l = 1.62 + d. What is l rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 45734570.\nAnswer: 503080270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.609882 to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100111100001 (base 2) in base 11?\nAnswer: 21495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4940.579822 - -4849.5797. Let k = j + 91. What is k rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 726602 or 726734?\nAnswer: 726602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/29)*d**(1\/15)\/d)\/((d\/((d*d*(d\/(d\/d**17))\/d)\/d))\/d*d**20) assuming d is positive.\nAnswer: d**(-1666\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 + 2*y - 1 - 2 + 13*y**2. Suppose v = 2*x - 7, -v + 15 = 2*v + 3*x. What is the remainder when n(v) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -56*j - 9173. Calculate g(-176).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-105) + 381384\/189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 5. Let s be (0\/(2 - p))\/(-2). Which is smaller: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 2*j)*(3*j + 2*j - 4*j)*(101 + 27 - 39).\nAnswer: -89*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -86465*-17\nAnswer: 1469905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130819\/44360003 + 7\/13471. Let w = -319245\/72446 + c. Let r = 1464 + -8665\/6. Find the common denominator of r and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let h = 1.1 + j. Let f = -0.05 - 0.35. What is the closest to h in f, -4\/7, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-2 - sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76))\/sqrt(4) - (3 + sqrt(19)*2).\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 30 = -15*f. Let u(a) = 5*a**2 + 6*a - 5. Let x(z) = -6*z**2 - 7*z + 6. Determine f*x(v) + 7*u(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.12579ml?\nAnswer: 0.00712579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13317, 0.4, 0.05, 5 in decreasing order.\nAnswer: 5, 0.4, 0.05, -13317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -230*c**2 + c - 51 wrt c?\nAnswer: -460*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j - 3*j + 2*j)*(3*j - 3*j - 2*j) + (2*j - 3*j + 3*j)*(2*j - 3 + 3))*(58 - 18 + 55)*(5*j - 3*j + 5*j).\nAnswer: 5320*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -3*t - p, -4*t - 5*p + 0*p = 247. Let b be ((-788)\/(-12))\/(t\/18). Let g = 35\/2 + b. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137723.4083 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/7 and 51\/86098?\nAnswer: 602686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = p - 21, -15 = 6*n - 10*n + 5*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43662804 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*w = -3234 + 482 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -149. Suppose -5*d + 46 = 4*w, -3*w - 4*d - 1 = -35. Suppose 3*o - u = w. 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 closest to 2\/47 in 5\/2, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.74 and 2.8609?\nAnswer: 10.699766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -405.2 - -405. Which is greater: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940658859 a multiple of 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 9*f**2 + 15*f - 25. Let l be o(10). Calculate the highest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1066*g**3 - 273*g - 2 wrt g?\nAnswer: 6396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.5 (b) -29 (c) 278658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -5*i. Suppose -5*a + 9 = -4*s + 7*s, -5*a + 2*s + 19 = 0. Suppose -a*q - 24 = -4*x - 1, 3*q = 2*x - 19. Solve -i*k - x*k = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**6\/90 - u**5\/30 + u**3\/9 + u**2\/6 + 5*u. Solve g(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2 - 4)*-1. Let d(c) = 4*c + c - z*c. Let f(q) = -2*q**2. Give f(d(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26489874 is divided by 2204.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2aa - -7?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8707315.\nAnswer: 5, 17, 89, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8854*n**3 + 4*n**2 - 22*n - 24. Let p be k(12). Round p to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6147 and 4614.\nAnswer: 9454086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 16}. Give prob of sequence bbb.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, a: 1, t: 7, h: 2, r: 1}. What is prob of picking 2 t and 1 h?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - (59 + -7 + -25)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 3*q - 7 in the form n + r*q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*x - 3. Let a = 1345 - 838. Let b = a + -503. What is the nearest to -0.1 in x, b, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 9417602*p**2\/5 - 18835198*p\/5 + 9417598\/5.\nAnswer: -2*(p - 4708799)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/7 - -1) + 2\/14. Let c be 130\/50 + 3\/(-5). Solve 2*f = 3*b + 12, c*b = -f - n - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - -9 - 3) + (12558\/(-23))\/(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -921788, -1843541, -2765280, -3686999, -4608692, -5530353, -6451976?\n\"Answer: a**3 + a**2 - 921763*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 4*l**3 - 1 - 5*l + 0 - 39*l**2 + 41*l**2 to t*l + r*l**2 + z + f*l**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -299, -304, -307, -308, -307?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. Let x = 6.5 - i. Suppose 0 = -5*r + 3*m - 3 + 17, 0 = -3*r + m + 6. What is the second smallest value in r, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j + 19889*j**3 + 0*j + 3*j - 19876*j**3.\nAnswer: 13*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1492 divided by 639.\nAnswer: -1492\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142662 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000017468 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56 - 114 + 27)*(0 - 2 + 1)*(-1 - 2 + 1)*(-20*l + 19*l - 16*l) in the form z*l + d and give z.\nAnswer: 4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 7*u + 12. Let x be s(2). Let q(l) = -2*l**3 + 32*l**2 - 54*l - 20. Let w be q(x). Solve -w*f + 12 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/(14\/147*7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -27*m**2 + 260*m + 18641. Let v(z) = 12*z**2 - 130*z - 9317. Let q(u) = -3*f(u) - 7*v(u). Find the first derivative of q(w) wrt w.\nAnswer: -6*w + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:34 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4, -4*y = 4*i - 50 + 22. Suppose 3*m = -5*b - 34, 4*b - 16 = 5*m + 16. Let d be ((-6)\/m)\/((-2)\/(-8)). Solve d = 3*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1359.5 + 1359.49966832. What is w rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkaaajyykayb. What is prob of picking 1 k and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3, -45143 in ascending order.\nAnswer: -45143, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3623 or 3575?\nAnswer: 3623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*q + 10*q = 20*q + 726 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -139*r**7\/42 - r**5\/5 + 15*r**3\/2 - 345*r + 1. What is the second derivative of u(l) wrt l?\nAnswer: -2780*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 43. Let s(o) = -o**3 + 2*o**2 - o + 1. Let c be s(h). Let d = 106 + c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 + 3*d - 2 - d - d + (0*d + d**2 + 0*d)*(3 - 3 + 2).\nAnswer: 9*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.756 + -2.244. Which is the second smallest value? (a) -1\/2 (b) 34 (c) 0.1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21052 and 8208?\nAnswer: 2273616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 802378786?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**4\/8 + 2*y**3\/3 - 1924*y**2. Suppose -h - h = -2*b, -4*h = -3*b - 5. Give t(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0 + m - m**2 - m - 3. Let y(h) = 4. Let i(f) = -4*q(f) - 3*y(f). Let k(a) = a + 1. Let j(p) = p - 1. Let n(l) = -j(l) - k(l). Calculate n(i(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -7\/4, -1\/24, -2.7?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 48*v - q = -28, -2*v + 20*q - 314 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 12. Let y be k(-9). Suppose y = -2*m, b + m - 45 = -2*m. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 0.015.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14108c (base 14) to base 16.\nAnswer: a9854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**3\/2 + 2*j**2 + 5*j. Let d(i) = 4*i + 5. Let u(o) = -4*d(o) + 5*p(o). Let c(a) = 7*a**2. Determine u(c(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250510 + -76863. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6104 + 6104.1. Which is the nearest to g? (a) 0.4 (b) -4\/5 (c) 3 (d) -2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38092 - -72526. What are the prime factors of s?\nAnswer: 2, 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**2 + 95*z - 45 = 0 for z.\nAnswer: 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 6*q + 3*q)*((-3*q - 5*q + 6*q)*(-4*q + 7*q - q) + q**2 - 5*q**2 + 2*q**2).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(19) - ((sqrt(19) - (sqrt(2736) + sqrt(2736)*-1 - sqrt(2736) - sqrt(2736))**2) + sqrt(19)) - (-1 + -5*(-2 + sqrt(19))).\nAnswer: 4*sqrt(19) + 10931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 931654 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 6*i - 23 - 34 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54154.17 milliseconds in microseconds?\nAnswer: 54154170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from mkjkjjkkkkkmjjkmkf.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(((l*l*l\/(l**(-1)\/l))\/l)\/l)\/l)*l)**30)**(-2\/69) assuming l is positive.\nAnswer: l**(20\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 2 l when four letters picked without replacement from elvcrwercvcele.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 0, 121 in ascending order.\nAnswer: -10, -4, 0, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1658*x**3 + 5*x**2 - 8. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 2, m: 3, z: 2, k: 3}. Give prob of sequence zk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4 + 9696*n**3 - 6046688*n**2 + 205941120*n - 387772992 = 0.\nAnswer: 2, 34, 1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 176. Which is the nearest to 1\/5? (a) 11 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 0. Suppose l + r = -2*j - 2, -3*l - 4*j - 12 = 0. What is the common denominator of l\/60*(-267)\/(-4) and 79\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 28*x - 53 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by ((-168)\/40)\/((-6)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1108*h + 44298. Calculate n(-40).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/524 and 10\/2748511.\nAnswer: 10994044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/7)\/((-502)\/1757). Let h(z) = 5 + 4 + 0 - 4*z. Suppose -19 = 3*y - 1. Let s(n) = -9*n + 19. Give m*h(k) + y*s(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 835107885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 17 - 4 = 3*a, -v - 2*a = 1. Let h(n) be the second derivative of 1\/2*n**4 - n**2 - 7\/6*n**v + 0 + 7\/15*n**6 - 2*n + 5\/4*n**5. Solve h(k) = 0.\nAnswer: -1, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2006, 4059, 6156, 8297, 10482, 12711?\n\"Answer: 22*j**2 + 1987*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1200 + -33232?\nAnswer: -32032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u - 55. Let m be k(-8). Suppose -m*c = -48*c - 68. Suppose -t = 2*t - 3. Solve -9 = c*z - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 + 644490*p + 28367240 = 0.\nAnswer: -44, 128942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let u(n) be the first derivative of 5*n**5\/24 + 9*n**3 - 12. Let v(k) be the third derivative of u(k). Give v(t(j)).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -415, -5003, -4.\nAnswer: -5003, -415, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and -30162760063.\nAnswer: -30162760063.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.9267\nAnswer: -0.46335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12246 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: Solve 3*z + 94 = -10*l, -4*l = -6*z + 2*z + 48 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwwywlwww. What is prob of picking 1 w and 1 l?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 j when three letters picked without replacement from {b: 2, u: 1, o: 4, j: 4, v: 1, f: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23991910 is divided by 789?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 11*q**2 + 15*q - 2. Let h be p(-8). Suppose -h*z + 71*z = 131. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3258868 by -17.\nAnswer: -3258868\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1006\/20 + (-23)\/210 + 12\/(-63).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.534 + -4317127172\nAnswer: -4317127169.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 22 - 22. Suppose f = -54*s + 55*s - 17. Calculate the remainder when s is divided by (0 + (-10)\/(-6))*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 110 = -730. Suppose -2*b = -5*u - b + j, -4*u = 4*b - 200. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*a = 78, -4*p + 5*a = -54 - 21. Let m be (-6)\/((-24)\/p) + -1. Solve -2*t - m = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3050\/(-122) + (-17)\/((-136)\/(-32)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 + 2*s + 5. Does 3 divide d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8595355633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 469. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 9*p**2 + 0*p - 5\/3*p**3 - 19\/12*p**4 + 0. Is 26 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 5*z + 24. Let u = 18 - z. Let r(c) = -c**3 - 2*c**2 - c - 2. What is the units digit of r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/4*(-1284)\/(-11). Let g = 263 + n. Factor 6\/11*v - 2\/11*v**2 - g.\nAnswer: -2*(v - 2)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*((-399)\/(-21) + -18)\/(14\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:45 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4933*a**2 + 10*a - 9. What are the prime factors of l(1)?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*d = 0, 0 = -3*d + 7*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 7. Let o be f(5). Let k = 0 + 7. Suppose v + 2 = 4*n, 12 = -o*v + k*v + 4*n. Solve -3*r = -2*c, -3*r - v = -2*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/4)\/((-3)\/8). Let h = -827 - -825. Which is the third biggest value? (a) -0.1 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let r be (-1)\/(5\/2)*-10. Let q be 2*((-6)\/r - -2). Put j, 2, q in ascending order.\nAnswer: j, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let q(y) = -202*y**2. What is q(x(g))?\nAnswer: -202*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 5. Let x = 5 + 0. Suppose 5*t - 3*i = 3, 5 = 5*t - x*i - 0. What is the units digit of r(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24047 + 24091. Solve -1400*l + z = -1389*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*b**3\/7 + 4110*b**2\/7 - 3312*b\/7 + 664\/7.\nAnswer: 2*(b + 83)*(5*b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -371889 take away -19.75?\nAnswer: -371869.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2586552.\nAnswer: 2, 3, 107773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 8*h - 0*h. Let f be (-1)\/(-3)*(h - -26). Solve 4*g = -f*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b - 128. Let v be g(-31). Let o(c) = -c + 3*c + 2*c + 3 + 3*c. Give o(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 4, -3, 1, -4 in increasing order.\nAnswer: -69, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:45 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 5, e: 12, x: 1}. What is prob of sequence nz?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1099794.2 to the nearest one thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1.76, 72.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 721231.6km in meters?\nAnswer: 721231600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -38*q + 3. Let c(r) = -9033*r**2. What is j(c(w))?\nAnswer: 343254*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 12. Suppose 5 = -x + m*x. Let p = -112 + 895\/8. Is p >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, 0.14, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4 - 1\/(-1). Let f = -300 + 302. Suppose -f*u = g*w - 239, -4*u + 3*w + 390 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d6 (base 15) to base 12.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 101\/2 + (-14)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 26*n - 4. What is the units digit of t(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**2 + 55*z**2 - 123*z**2 + 9459 + 21*z**2 + 26*z**2 in the form m*z**2 + t + r*z and give t.\nAnswer: 9459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72882 - -183118. What is q rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13612898?\nAnswer: 2, 13, 523573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 386 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose -2*m + 24 = 5*c, l*c + 13 - 35 = -3*m. Let r(p) = -5*p - 5. Let v(t) = -t - 1. Determine c*v(g) - r(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 - 19 = 0. Let o(u) = -u**2 - 4*u + 4. Let i be o(x). Suppose -5*l + 3*g + 84 = 0, 2*g + 15 = 2*l + i*g. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 45. Let h(i) = -25*i - 7. Let o be h(-1). What is the highest common factor of u and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:08 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 40, 141, 334, 649, 1116?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 59*a + 29*a - 2167*a**2.\nAnswer: -2167*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/6950 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-2) + -6)*2\/(-5). What is the nearest to 1 in -0.4, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-18)\/48)\/(3\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 + 16*w - 7. Suppose -11*o - 16 - 39 = 0. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -714 or -70\/101?\nAnswer: -70\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (76\/(-20) + 1)*(-4 + -166)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reererr. What is prob of sequence rree?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {x: 2, n: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**2\/2 + 8. Let j(a) = 4*a**2 + 0*a**2 + 6*a**2. Calculate h(j(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-946)\/6*2480\/(-13640)*((-6)\/(-4))\/(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2496 and 3792.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**7\/4200 - s**5\/50 - 7*s**4\/24 - 6*s**2 + 6*s. Let x(t) be the second derivative of g(t). Find w, given that x(w) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*1\/12 + -1. Put -0.4, 5, g in descending order.\nAnswer: 5, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 98. Let n = -16 + l. Let x = 44 - n. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212011220001 + -1?\nAnswer: -212011220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - -7.1.\nAnswer: 7.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:24 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 31.\nAnswer: -45\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336350948 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3536 - 21155\/6. What is the common denominator of o and -4\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + (-3171)\/105)*30\/(-21)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 77108\nAnswer: -3\/38554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335 or 22\/631?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 373884 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:46 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.6814l in millilitres?\nAnswer: 782681.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 45417.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5069, -10152, -15239, -20330?\n\"Answer: -2*z**2 - 5077*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150037772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -c + 295, -7*j - 5*c - 307 = -10*j. What is the thousands digit of (-22)\/j - 120789\/(-81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 2.1. Let u = d + 1.9. Which is the third smallest value? (a) u (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2. Let v(l) = 42*l. Let d(x) = -131*x. Let p(h) = -d(h) - 2*v(h). Calculate y(p(u)).\nAnswer: 17672*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 84 = 0. Suppose 17 = 2*m - 5*q - 114, m = -5*q + r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.8 + 43.289. Let i = 0.011 + r. Suppose -3*v - 3*t = -41 + 17, -4*v = -4*t - 24. Which is the third smallest value? (a) 4\/5 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53098*o**3 + 3*o**2 + 220*o - 8 wrt o.\nAnswer: -318588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/420 + 2*g**5\/35 + 13*g**4\/84 + 17*g**2 - 2*g. Suppose y(l) = 0. What is l?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - b - 3*b)*(-1 + 0 + 0) - 72 + 35 - 9*b + 36)*(2*b - 1 + 1).\nAnswer: -14*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 + 0*q**2 - 2*q**2)*((-159 + 116 + 120)*(-6*q - 26 + 26) + 2*q + 0 + 0) to r*q + f + j*q**2 + c*q**3 and give c.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (5 + (-1 - 1)). Solve 2*a = a + m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15544, -2, -1 in increasing order.\nAnswer: -15544, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0, 3, 0.127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -3.92. What is the closest to 3 in -3, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1808.46219 * -7\nAnswer: 12659.23533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:31 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21230 (base 10) to base 12\nAnswer: 10352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8259, -8230, -8203, -8178?\nAnswer: -8155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -671187*b**5\/8 + 6035007*b**4\/8 - 664803*b**3 - 5039565*b**2 - 42582*b - 90 = 0. What is b?\nAnswer: -2, -2\/473, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-119) - (1*-2)\/(-6). Let i be 6\/3*1\/(-2). What is the closest to i in -0.3, -3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641874?\nAnswer: 2, 3, 71, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + -46. Let m = 244 + x. Let h = 146 - m. Put h, 5\/6, 1\/4 in decreasing order.\nAnswer: 5\/6, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41338 + -3?\nAnswer: -41342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 239?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*p + 1121*p**2 - 4 - 9 + 11 - 1131*p**2 to n*p**2 + z*p + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 183562*q**2 + 167248*q?\nAnswer: -12*q**2 + 367124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -14 (b) -2\/9 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:34 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 70 * 1363160\nAnswer: 95421200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -67. What is the units digit of (-101)\/303 - h\/((-3)\/496)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4585 and 29067 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**2 + 2*p**4 - 2*p**3 + p**3 - 153 + 49 + 105 to the form b + m*p**2 + h*p**3 + g*p + d*p**4 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867487 is divided by 34699?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*o - 4, -o + 4 = 3*o. Suppose -2*y - k = -5*y. Calculate the greatest common divisor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 162. Suppose -6*t + 8 + 4 = m. Let s = -7 + 12. Solve -t*x + s*x = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173662 = -12*f + 473774. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1800)\/(-180))\/((-1)\/6)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -5, -185305448, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 118*x + 7382. Give n(-62).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzckccccckczzk. What is prob of sequence zzck?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210788605 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 198 (b) -730 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2115033 - -414?\nAnswer: -2114215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101832785 rounded to four dps?\nAnswer: 0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182825231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90594510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j + j - 3*j)*(0 + 4 - 6) + 8*j + 257*j + 140*j)*(4*j + j - 3*j)*(-j - 3*j + 2*j).\nAnswer: -1612*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8840 divided by 68.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l + 28 = -60*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 436, 875, 1312, 1747, 2180, 2611, 3040?\n\"Answer: -w**2 + 442*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(8\/(-2304)). Let f = s + -64. What is the highest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00351293689 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7058, -28244, -63558, -113000, -176570, -254268, -346094?\n\"Answer: -7064*x**2 + 6*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3\/3*7. Suppose -5*u + 13 = -p. Let o(t) = 2*t - t + 0*t - u*t. Let s(c) = 2*c**2. Determine o(s(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -133405?\nAnswer: 133411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*m + 6, 27 = 25*p - 22*p - 3*m. Let q = 17 - 10. Sort 3, 0, q, p.\nAnswer: 0, 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b3 (base 16) to base 9\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (3 - (-10 - -6)). Suppose -2*z = 3*w + 4, 4*z = -5*w + 1 - 11. Which is the fourth biggest value? (a) 1\/4 (b) w (c) k (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10 - 14 + 3*f + 33 - 7 - 8 + f**2. Calculate n(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63194 by -3326.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -89. Is 1581\/9 + (-20)\/w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -258927651\/980 + 264212. Find the common denominator of b and -5\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211333161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26 and -2173?\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2112202011?\nAnswer: -2112201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.59, -3, 140, 1\/4, 0.05 in ascending order.\nAnswer: -5.59, -3, 0.05, 1\/4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 281995 to the power of 1\/2, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 525\/60)\/((-3)\/(-72)))\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*447\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/162 and -63\/332.\nAnswer: 26892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1316\/(-8460) + (-3)\/45 + ((-1144)\/18)\/2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -7*w**2 + 23. Let i(g) = g**2 + g + 1. Let r(k) = -12*k**2 - 11*k - 11. Let d(n) = 22*i(n) + 2*r(n). What is f(d(s))?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -620442 + -15?\nAnswer: -620460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22055811*c + 16730873 wrt c?\nAnswer: -22055811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -37\nAnswer: -73\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -1\/120*b**6 + 0*b + b**2 + 0 + 1\/24*b**4 - 4\/3*b**3 + 2\/15*b**5. Let x be u(8). Is x at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -133*j + 0 - 23\/10*j**5 - 1\/30*j**6 - 3375\/2*j**2 - 60*j**4 - 675*j**3. Factor n(o).\nAnswer: -(o + 1)*(o + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7\/4 (b) -435 (c) 0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -1263, -2297, -4321, -7665, -12659?\nAnswer: -19633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94102*a = 95472*a - 164400 for a.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c - 3*c + 3*c**2 - 3*c - 3*c. Let d(v) = -3*v**2 + 8*v. Let t(a) = 6*d(a) + 5*f(a). Let w(r) = 4 - 2*r**2 - 4. Calculate w(t(m)).\nAnswer: -18*m**4 + 36*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(96)*-4*3)\/(((-1*sqrt(80) - sqrt(80))*2)\/(sqrt(1440)*1)) + -3.\nAnswer: -288*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 9*s - 18. Let g be l(-4). Let r(b) = b**3 - 7*b**2 - 9*b + 9. Let x be r(8). Let t = 3 - x. Is t >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -80, -125, -172, -221?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.77. Let z = 649\/4 - 163. Which is the smallest value? (a) o (b) 5 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 7*i**2 + 6*i + 4. Let d be f(-6). Suppose -s + 5 = -d. Let h be ((-108)\/8)\/9 + 0. Which is the nearest to -1? (a) s (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395913853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5007?\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*l - 9*l - 17*l - 13*l - 33 as n*l + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f**(-1\/45)\/f)*f)**4 assuming f is positive.\nAnswer: f**(904\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:01 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 93464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3226*c - 83855. Give f(26).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**7*k*k)*k*(k**(-5\/4)\/k)\/k)\/(k**1\/(k\/((k*k**5*k)\/k)*k)) assuming k is positive.\nAnswer: k**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-4) + (-2 + -2 - 484\/(-44)). What is the nearest to c in -0.3, -2\/13, 19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -596031, -596295, -596559, -596823?\n\"Answer: -264*m - 595767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2234, -4, 2 in descending order.\nAnswer: 7, 2, -4, -2234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*n**5 - 1 + (11*n - 9*n**4 - 11*n)*(2 - 2*n - 2).\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*k + 80, -u + 86 = -50*k + 57*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 61, 96, 129, 160, 189?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -186*z. Let r(h) = -285*h. Calculate x(r(s)).\nAnswer: 53010*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046655731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(5\/(90\/12)). Let u(p) = 2*p**2 - p - 3. Determine u(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591072 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1082 + 4146 = 5*j, -i - 2450 = -4*j. Suppose 3*k + 2*o - 1836 = 0, j = -7*k + 8*k + 4*o. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 293*l + 130*l = -112723. Put l, 6, -4 in descending order.\nAnswer: 6, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 18 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 643*k**2 + 68*k**3 - 660*k**2 - 65*k**3 + 3 to q*k + y*k**3 + j*k**4 + c + x*k**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/244)\/(86\/(20640\/120))\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/124 and -101\/74?\nAnswer: 4588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 26279\/14 and 1877 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*11\/((-44)\/48)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 32*t = 177960. Is 58 a factor of (-1)\/1 - 17\/(204\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.95 - -0.05. Let m = s + -1.9. Let f(z) = -2*z**2 + 17*z - 2. Let i be f(8). What is the closest to m in i, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 56. Let y(k) be the second derivative of -k**3\/3 - 6*k + 9. Give s(y(q)).\nAnswer: 6*q + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 5\/4*u**5 + 0*u**3 + 0*u**4 + 41\/2*u**2 + 31*u + 0. What is the derivative of n(l) wrt l?\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(210\/40) - 0)\/3. Let f = -0.1 + 2.1. Which is the biggest value? (a) 0.2 (b) f (c) -0.04 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -3*m + 24, -q - 3*m + 9 = 0. Sort 9, 0, q, 5 in increasing order.\nAnswer: q, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -39. Let g = q - 3. Suppose 10*x = 6*x - 28. Is g less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k + 4*k + 4*k)*(533 - 1070 + 1288*k**2 + 537 + 368*k**2) to n + t*k**3 + p*k**2 + l*k and give t.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 3, 29, 2\/13, 3.8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 - 10. Let b be y(-7). What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1 + 3*w**2 + 0*w**2 + 4*w**2 - 6*w**2. What is the remainder when 29 is divided by a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 15 = 0. Suppose 7*y = u*y - 16, h = 4*y + 16. Let k(f) = -f. Let p be k(-3). Solve 3*w - b - b - 20 = h, -p*b - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5589233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108652487 - 93374132 = -55*c - 70892484. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12614 or 12649?\nAnswer: 12649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 645 and 74 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/14 or 387\/16?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*1*sqrt(11) + sqrt(110)\/(sqrt(30)\/sqrt(3)) + -1 - (0 + sqrt(55)\/sqrt(5) + 3*sqrt(1584)))**2.\nAnswer: 168*sqrt(11) + 38810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 5*u**2 - 14*u + 18. Let r be (-196)\/(-21) - (-1)\/(-3). Let q be w(r). Is 32 a factor of (32\/(-10) - -3) + q\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76590 (base 10) to base 11\nAnswer: 525a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + ((-4)\/(-1))\/(-1). Let o(f) = 10*f - i*f - 4*f - 7 - 7*f**2 - f**3 + 0*f. Calculate o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + 1. Let x be a(2). Suppose 0 = -3*c + 10 + 5. Let t(g) = 3 - c + 3*g**3 + 1 + g + g**3 + g**2. Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.6 - -2374764.\nAnswer: 2374799.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/5 - (-1)\/3*0. Put 1\/2, c, -7\/4 in increasing order.\nAnswer: -7\/4, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/637)\/((-8)\/980*-35)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1215290872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87930 and 4220640.\nAnswer: 4220640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 64, 103, 146, 193, 244?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2\/2 - 8*a - 26. Determine l(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.1, -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9049 + -217213\/24. Calculate the common denominator of u and 17\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/927 and 94\/1545.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 2*a - 3*t, 3*t = -4*a - 0*t + 719. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*p + 5*j + 4, -3*j - 8 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -37, -61, -85, -109, -133?\n\"Answer: -24*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g + 16. Let n(q) = -15*q + 13. Determine -5*f(k) + 6*n(k).\nAnswer: -10*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -105? (a) 15 (b) 3 (c) -1\/2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2*z - 3. Let a be p(-3). Let v(u) = -u**2 + 3*u - 2. Let l be v(3). Sort 3, a, l.\nAnswer: a, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/8169 and 46\/95?\nAnswer: 776055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((204\/(-4))\/(-17))\/(2*(-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5280\/2240)\/(27\/(-21))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5504184 and 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from otodgxm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 378.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = h + 4*s + 153, -5*h = 3*s + 773. Which is smaller: -153 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 23613*v**2 + 46452672*v - 46476288.\nAnswer: 3*(v - 1)*(v + 3936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 14 - 10 + 1. Let g be z(4). Sort g, 2, 5, -0.2.\nAnswer: g, -0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*y + 82 = 0, -k + 22 = y - 7. Suppose -n = 4*z - k, -41 = -5*z - n - 1. What is the remainder when (4 - 12\/2)*-6 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**8\/5040 + f**7\/5040 + f**6\/1080 - f**5\/720 - f**3 + 6. Let h(i) be the third derivative of z(i). What is o in h(o) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71.4 - 72.4. Sort y, 5, -23 in descending order.\nAnswer: 5, y, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1130*k + 12450. Calculate h(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -2. Suppose 0*f - n = -f + 3*u, 11 = -2*f - 3*u. Find the third derivative of f*h**4 - 5*h**2 + 6*h**5 + 3*h**4 - 5*h**4 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 72. Let s be (v\/12)\/(2\/(-24)). Find the common denominator of 61\/20 and s\/240*(35 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 91, -0.3905, 1?\nAnswer: -0.3905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -459\/7. Let p = 1 + 0. Let u = 13 + -18. What is the closest to p in o, u, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Solve i = 5*z - 2*r + 8, 0 = 2*z + 4*r - 3*r + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027188 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*m - 55. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 730*v**3 - 1323*v**3 - v**2 + 718*v**3 + v to the form f*v + z*v**2 + r + u*v**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4043333001 (base 5) in base 6?\nAnswer: -451222325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**3 + 41943*n**2*p**2*t + 6*n**2*p*t + 2*n*p**2*t - 15*n*p**2 + 3*n*p*t - 12*n*t - 184*p*t - 3*p - 2*t wrt n?\nAnswer: -30*n + 83886*p**2*t + 12*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 5.93. Sort d, 4, -0.2 in increasing order.\nAnswer: -0.2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - 4b42?\nAnswer: -4b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 162\/39 + 4\/(-26). Let m be 262\/28*34\/17. Let x = 19 - m. Which is the third biggest value? (a) x (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 255 - 263 - 73 + 591.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -161*o + 301*o - 146*o + 142632. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Which is smaller: m or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 6. Which is the closest to 2? (a) -4 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*l + 27, 2*r - 6*l + 3 = -3*l. Is r at least -23\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**5\/60 - n**4\/24 + 5*n**3\/6 + 9*n**2. What is s(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.3. Let x = 2\/7 + 3\/14. What is the third biggest value in d, 7, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 5. Let z be a(-5). Let c be z\/((1 + 2)*-1). Suppose -12 = -3*t - c. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 3, l: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let c be z(-4). Let l = -4 - -5. Let s be (-3)\/(0 + 0 + l). Sort s, -5, c in ascending order.\nAnswer: -5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2054502)\/(-46) - (-66)\/(-759) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7343m to centimeters.\nAnswer: 173.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*g - 37 + 73 = 36 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/203 and -75\/10846?\nAnswer: 75922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1511221 in 24, 3, -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128013844*p**5 + 121939862*p**2?\nAnswer: -7680830640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 6. Let v be b(3). Suppose -4*j - j + 5 = v. Suppose j = 8*x - 15. Solve l - 3*o + 19 = -4*l, 0 = -2*l + x*o - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 + 2*d**3)*(-10 + 6 - 11)*(0 + 0 + 2*d).\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -51. Suppose 16*o - 56 = 9*o. Calculate the remainder when i is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.2 + 50. Let j = -0.8 + a. Are j and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -598960, -598936, -598914, -598894, -598876, -598860?\n\"Answer: -i**2 + 27*i - 598986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o**3 + 2*o**3 + 0*o**3 + o**2 + 0*o**3 - 1. Let i be b(-1). Let m be 2\/(-4)*i + 1209. What is m rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (37 + (204 - 112))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, -1\/17, 2, 0, -0.3, 0.17, 0.23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 345561*t - 1382238. Calculate k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 156 + 48 + 61 as t*h + n and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 7623.2, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 1 - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (-6 + 7) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 25*q**2 + 44*q - 14. What is the smallest common multiple of m(-23) and 56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.47 - -111.97. Suppose -4 = -3*y + 7*y. Put 0.1, m, y, -0.07 in decreasing order.\nAnswer: m, 0.1, -0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5\/(-3) - (-51)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*q = 1486*q + 1130*q + 351000 for q.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4121, 3 in decreasing order.\nAnswer: 4, 3, -4121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 1182518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*(-336)\/36. Let b = -9 + m. Let a be 3\/b + 3\/(-5). Round a to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 + -0.1. Let p = 7 - 133. Let n be 12\/p*6*1. Put 2, n, i in ascending order.\nAnswer: n, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*t - 814*t = 246 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i - 3. Let t be (i - (-2)\/(-1))\/(-1). What is the second derivative of -t*z + 2*z**5 + 4*z - z wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -274.35515\nAnswer: 823.06545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 58. Let z be 4 + 3 + 1 + (-8 - -5). Suppose -3*v + 8*v = -r + 75, 4*v - z*r - 60 = 0. Which is bigger: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -5, -22 in ascending order.\nAnswer: -22, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*1)\/(-204 + 206). Let z(m) = 47*m + 45. What is z(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 7. Let k(d) = -d. Let b(j) = 3*k(j) + y(j). Let x be b(6). Suppose p = 0, 5*z + p + x = -p. Let i(n) = n + 3. Determine i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 779996 = -2*u, 4*f - 1170016 = u - 4*u. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -8)*1\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-169) + 14504\/(-728).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 501*b**3 - 2259*b**2?\nAnswer: 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 - 6452*r\/3 - 10407076\/3 = 0. What is r?\nAnswer: -3226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from pkupmzq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 1.71. Let b = r - -0.11. Let w = b + 0.18. Put w, 0, 2 in ascending order.\nAnswer: 0, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 7*h**2 - 5*h**2 + 7*h**2 to the form k*h**2 + z + n*h and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 19. Suppose -3*d = -336 - x. What is d rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -107\/19?\nAnswer: -107\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Let t = y + -26. Let z = -20.00000044 - t. Round z to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*564\/9*6*20\/160.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 54020 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.21948mm in micrometers?\nAnswer: 71219.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3 - -3*(-5)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6533734*-8\nAnswer: 5.2269872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12443.05 + 12443. What is the closest to 0.1 in q, 2\/5, -8, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1291 + -278.6709. Let n = -279 - f. Which is the nearest to n? (a) -1 (b) -1\/5 (c) 2\/17 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622587 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10*(-85)\/34)\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 41 + 3 + 5 + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -4, -872, 95\/2?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -5. Let d = 7 - 4. Suppose -2*g + d*g - 4 = 0. Solve -t - 9 = 2*c, -c - 2*t + g = u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/11 - 2932*w\/11 - 480528\/11 = 0. What is w?\nAnswer: -1278, -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 = n - 13, 5*m = 4*n + 4. Put n, 5, -4, -3 in ascending order.\nAnswer: -4, -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 287 + 2673 = 0. Let q = v + -142. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709326, -1418664, -2128002, -2837340?\nAnswer: -3546678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3 - ((-22)\/3 + -114 + 120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/((-15)\/(-2)) + (-2920)\/1424. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 21361.\nAnswer: -4, 0, 21361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f*f*f**(1\/2)*f*f)\/f)**(-3\/13)\/((f\/(f**(-11)\/f))\/(f\/(f*f**(4\/13)))) assuming f is positive.\nAnswer: f**(-385\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 26 + 4 - 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 - 41301320?\nAnswer: -41300424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4\/81, 1?\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) 0.3 (c) 0.12 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 2.3. Let u be (-18)\/(-60)*-3 - -1. Which is the third biggest value? (a) u (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.907968 tonnes to kilograms.\nAnswer: 4907.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 30 = -10. Calculate the least common multiple of x\/(3\/(-12)*-2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 1, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c + 3. Let f be d(-5). Let j be -6 + 5 - (-2 - -1). Suppose f*l = -j*l + 102. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*l = -3*a + 663 - 1954, -l - 2*a + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -6*((1 + sqrt(12))*-1)**2.\nAnswer: -76 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5884.5 to the nearest ten.\nAnswer: -5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57\/(-9) - 1\/(-3). Let o = 8 + c. Let 34*h**3 - 35*h**3 + o*h + 3*h**2 + 1 - 5*h = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 388, -1\/3, -85, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0*t + t)*(-4 + 0 + 6) - 594*t + 1029*t - 639*t + 2 + t - 2 in the form k + v*t and give v.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(343) + (sqrt(343) + 0)**2 + (sqrt(343) + (-3*sqrt(343))**2)*2 + 1 + 4.\nAnswer: 21*sqrt(7) + 6518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z - 3*z)*(1 + 0 + 1 + 2 - 1 + 0 - 3 + 0 + 10 + (-3 + 1 + 4)*(-4 + 4 - 2))*(-44 - 46 + 22).\nAnswer: 1632*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**2 + 26*j**2 - 69*j**2 + 23*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8526 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9582790 times -0.24?\nAnswer: -2299869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34124 + -452?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 3*n**2 - 5*n - 5. Let l be g(-4). Suppose -k + 4*t = -63, -l = -2*k - 4*t - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01694*-1.012\nAnswer: -0.01714328","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from oroioioonoonnonn.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 27*i**2 + 74*i - 1301. Determine l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1197 + -1180. Suppose -13*h + c + 152 = 0. Suppose 0 = 5*j - 3*k - 709, 0 = -2*j + k - 0*k + 284. Calculate the highest common divisor of j and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + -1 + sqrt(17) + sqrt(51)\/(-2*sqrt(3) - sqrt(3)))**2 - (2*sqrt(612) + 2 - (-4*(-1 + sqrt(612)))**2))*-1.\nAnswer: -88358\/9 + 620*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15026, 34596, 54166, 73736?\nAnswer: 93306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 47 = -2*l + 7*l, 5*i - 31 = -3*l. Suppose -3*f = f - i. Let k = f - -4. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*h**2 + 38973*h**3 - 16 + 12 - 38940*h**3 as q*h + g*h**3 + r*h**2 + x and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 2305322.\nAnswer: 99\/2305322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1939*a**2 + 14*a + 2254. Let w(h) = 647*h**2 + 4*h + 751. Let v(j) = 2*r(j) - 7*w(j). Find the first derivative of v(x) wrt x.\nAnswer: -1302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 20*o - 24.\nAnswer: 4*(o - 6)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/4)\/((-5)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386911 is divided by 12088.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*p - 19 = 0, 49*z - 27 = 52*z + 2*p for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -383891341479.929337 - -380845765576.92933717. Let v = l - -3045575890. Let f = 13 + v. What is f rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z + 25*z + 44*z + 770 = -28*z for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 232612153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -2)*(-705)\/45. Is n bigger than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5868253t?\nAnswer: 586825300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -18.2. Let l = 3.4 - t. Let o = 0.4 - 0.3. What is the closest to o in -1, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 92*v\/7.\nAnswer: 2*v*(v - 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579 - (-5)\/3*198\/110.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19085?\nAnswer: 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/25 and 27\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 88*l = 69*l - 385. Solve -610 = -l*z - 533 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 + 5*y**2\/2 + 9*y - 20. What are the prime factors of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkmf when four letters picked without replacement from kdmmfddjhmhd?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4323, 3883, 3151, 2127?\n\"Answer: -146*u**2 - 2*u + 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*k*n**2 - 1526*k*n - 2*k + 2*n - 538816 wrt n?\nAnswer: -60*k*n - 1526*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/30 + 2*u**2. Let g(q) be the first derivative of -7855*q + 134 + 7855*q + 2*q**2. Calculate g(t(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let t(z) = -4*z**2 - 5*z. Let u(a) = a**2 + a. Let q(s) = t(s) + 5*u(s). Give q(n(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**3\/7 + 1398*f**2\/7 + 37830*f\/7 - 7622\/7 = 0 for f.\nAnswer: -103, -37, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2587 - -2586. Suppose -2*x + 2*f + 72 = 0, 0 = 3*x - 2*f - 3*f - 108. Let i be (-10*y\/3)\/(8\/x). Solve 7*c = 2*c - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, -19, -47, -75?\n\"Answer: -28*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5350270 to the nearest ten thousand.\nAnswer: 5350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 2*o + 1. Let j be u(1). Suppose 4*n - 2*x - 288 = 0, j*n + 2*n = -x + 288. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -20.81?\nAnswer: 8.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46\/5 of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44c + 6?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2300 and 3350640.\nAnswer: 16753200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 - 123*f - 36. Let n be u(-21). Let m = 551 + n. Solve -m*r - 39 = 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let z(r) = -2*r**2. Let k(l) = -3*l - 24. Let q be k(-6). Give q*z(m) + 7*v(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -8. Suppose -8 = -4*u + f, 4*u + 5 = 3*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i + v - 4, 3*i - 5*v = 12. Let d(y) = 5*y - 5 - i*y - 6*y + y. List the prime factors of d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 30345953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:52 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -29 - 3*u - 23*u**2 - u**3 + 9*u**2 + 11*u**2. Factor a(w).\nAnswer: -3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**2 + 61708200*u - 61708205 = 0.\nAnswer: -12341641, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25574*b**2\/9 + 5268220*b\/9 + 1648\/3.\nAnswer: -2*(b - 206)*(12787*b + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 0 + 92*n - 66*n + 0.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -5*n + 3 - 1\/2*n**2. Let c be d(-7). Solve u - 3*u - c = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - -3*(sqrt(1053) + 3 + sqrt(1053) - sqrt(1053)) - -3*(sqrt(1053) - 1*sqrt(1053)))**2.\nAnswer: 648*sqrt(13) + 16929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.05, -793, -4\/3, -0.5, -5, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -345 and 0.1.\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5852 and 836?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a + 36 = 0. Calculate the greatest common factor of a and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 234*d + 15. Let g be j(18). Solve 3*q - y = -g, -4*q = -8*y + 7*y + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39974 is divided by 1427?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1679780 - 2?\nAnswer: 1679778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**2*u**3*z + 3*r**2*u**2*z**3 - 1765*r**2 + 7*r*u**2*z - 2*r*u*z**3 + 5*u**3*z**2 + 2*z wrt r?\nAnswer: 8*u**3*z + 6*u**2*z**3 - 3530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t**3 + 2*t**2 - 1. What is z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 1854.\nAnswer: -4\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000416787083 rounded to 7 decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5281.2*0.34.\nAnswer: 1795.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d*v**3 - 3*d*v**2 + 6*d*v - 4*d + v**4 wrt v?\nAnswer: -30*d*v - 6*d + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 15*t**3 + t**2 + 31*t - 86. Is o(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295401431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*11\/55)\/((-9)\/((-423)\/(-2))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551091 is divided by 5221?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 15) in base 11?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0531.\nAnswer: -0.00531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 times -0.049?\nAnswer: 0.003577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 2 + 0 + 5*t**4 + 2*t + (20963*t**3 - 41286*t**3 + 20789*t**3)*(3*t - 3*t + 2*t) to the form s*t + q*t**3 + d + z*t**4 + c*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -2 + (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6107926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 19*d**3 + 20*d**2 - 81*d - 33. Let p(i) = -5*i**3 - 5*i**2 + 20*i + 9. Give 3*n(t) + 11*p(t).\nAnswer: 2*t**3 + 5*t**2 - 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((182\/2028)\/((-3)\/6))\/(59\/354).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-4) - (2 - 108\/2) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -44*c**3 - 40*c**2 - 41*c + 17. What is the hundreds digit of l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30)\/((-12)\/(-36)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 1. Give v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1644 and 35\/4521.\nAnswer: 18084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5145.8 or -2459?\nAnswer: -2459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*1*sqrt(450)\/sqrt(10) - (-6*((sqrt(45) - (sqrt(45) - (3 + sqrt(45)))) + sqrt(45)) + -4)))**2 + -3.\nAnswer: 2430*sqrt(5) + 10851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2375 and -0.4.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*(-12)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 274 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*h + 2880 = 1089*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 6*t**3 + 252*t**2 - 570*t - 825.\nAnswer: -3*(t - 5)**2*(t + 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*s - 6 + 9, v = -3*s - 1. Let k(y) be the third derivative of 3*y**2 - 1\/60*y**5 - 1\/8*y**4 - 1\/3*y**3 + s*y + 0. Factor k(d).\nAnswer: -(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 160 = 4*g, -3*w - g - 2*g + 69 = 0. Suppose w = 4*h + 4*d, -h - 4*d = -2*d - 12. Suppose -h*o = -o - 7. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and -99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19011, 18956, 18857, 18714, 18527?\n\"Answer: -22*x**2 + 11*x + 19022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 - -187. Suppose 15*c = 22*c - i. Solve -c*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4214.075, -4, 8\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/216220 and -73\/151354?\nAnswer: 1513540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40927226 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 9884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 3 + 4 + 0*b - 6*b + 6. Let m be n(-7). Suppose -65 = w - m*w. What is the remainder when 50 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/84 + d**4\/24 - 6*d**2. What is the second derivative of t(r) wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 22?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 3*t + 42 = 0, 16 = 4*t. Find the second derivative of 30*f**2 - k*f - 51*f**2 + 53*f**2 wrt f.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Let f(z) be the second derivative of 7*z**5\/20 + z**2\/2 + 2*z. What is f(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * -0.08\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -784*i - 561. Let t(r) = -394*r - 280. Let z(m) = -10*t(m) + 6*y(m). What is the first derivative of z(u) wrt u?\nAnswer: -764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5980*l + 18065. What is g(-3)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2984*f**2 - 2988*f - 4 = 0. What is f?\nAnswer: -1, -1\/746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1487231.739 nanoseconds to weeks.\nAnswer: 0.0000000024590471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101\/480 - 11\/32. Let h = -1.3 - -0.2. Let n = h + 1.2. What is the closest to n in 0.3, y, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2c187d?\nAnswer: 2c1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1204 and 5291632.\nAnswer: 1592781232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2157401*d*l + 7*d - 26*l - 1748019 wrt l.\nAnswer: 2157401*d - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19188 by 22209.\nAnswer: -6396\/7403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*u**2 + 22407*u**3 - 466*u**2 - 463*u**2 - 22408*u**3 + 1417*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19194545 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 32*k**3 + 2*k**2 - 4*k - 2. Let j(q) = -q**3 - q**2 + 2*q + 1. Calculate -6*j(t) - 3*n(t).\nAnswer: -90*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8308571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*w + 4 + 1, 1 = -d + 2*w. Suppose 4*f = -d*a - 12, 3*f + 6 = -3*a + f. Solve z - 3*k - 12 = 0, 5*z - k + 12 - 2 = a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*l + 1040 = 329*l. Let k(m) = -m**3 + 14*m**2 - 11*m + 42. Calculate the remainder when k(11) is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221100012 (base 3) to base 5\nAnswer: -1042343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2481455*v**2 - 4146886?\nAnswer: 4962910*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + -31.16. Let z = 31 + b. Let o be 3\/(-54)*(-2 - 1). What is the nearest to -5\/2 in z, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 3*u - 7. Let d be w(5). Solve 8*t = d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*g = 5*g + 24, 0 = 4*g - 12. Let p be 4\/f*18\/(-4). Suppose t = 0, z - 7*t = -p*t + 50. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40293423 to the power of 1\/2, to the nearest integer?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1918, 3582, 5238, 6880, 8502?\n\"Answer: -s**3 + 2*s**2 + 1665*s + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7779386 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9.9. Let p = 0.08 - o. Let d = p + 0.02. Which is the closest to 0? (a) -0.2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5*c**3 + 3*c**3 + 42 - 21.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4070, -4810, -6018, -7928, -10774, -14790, -20210, -27268?\nAnswer: -36198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 + 60*h**4 - 904*h**3 - 288*h**2 + 16128*h = 0?\nAnswer: -24, -4, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85281892 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 562156705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37797 - 3930845\/104. Find the common denominator of j and 1 + -1 + 335\/(-30).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/24 + k**3\/6 - 10*k**2. Suppose -2*q = -5*q - 15. Calculate r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z + 20. Let l be (6\/(-9))\/(z\/(-6)). What is the units digit of (-2)\/l + (-24)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -11. Which is the closest to 1? (a) -0.2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 209, 275, 325, 353, 353, 319, 245, 125?\n\"Answer: -t**3 - 2*t**2 + 79*t + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1395*k**2. Let s(c) = 3876*c + 2. Give s(q(f)).\nAnswer: -5407020*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 159*g + 213. Let i(v) = 87*v + 107. Calculate -6*c(w) + 11*i(w).\nAnswer: 3*w - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 2. Let m be i(-3). What is the highest common factor of m and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50480000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277.859km in millimeters?\nAnswer: 6277859000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 708ba?\nAnswer: 708b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 12 - 255*k**2 - 80*k**2 + 70*k**2 to m*k**2 + c + u*k and give m.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*a - 20142 = 0, 23*v - 25*v + 3*a + 40293 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 1, z: 1, y: 1, n: 5, t: 4}. Give prob of sequence tl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose -934 + 298 = g*b. Let w = b + 325. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + 5)) + (-5 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {q: 1, s: 4, c: 2, h: 2, f: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1678*r + 433*r - 2684*r - 2664*r - 5191*r in the form y*r + d and give y.\nAnswer: -8428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049351 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 26. What are the prime factors of 326\/22 - 10\/f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 14*t - 360 = 0. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -18*(52\/(-12) + 0). Let z = -108 + o. Which is smaller: z or -29?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 16*f + 6. Let z(v) = 3*v**2 + 33*v + 13. Let r(s) = -9*l(s) + 4*z(s). Let t(p) be the first derivative of r(p). Does 12 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 3, -0.2, -8\/15, 358\/23 in descending order.\nAnswer: 358\/23, 3, 0.09, -0.2, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/2*42\/4. Let s(y) = y**2 - 94*y + 1431. Let b be s(76). Calculate the greatest common factor of b and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 23. Suppose u = -g*u. Suppose s + u*s = 70. Calculate the remainder when s is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944 + -946. What is the biggest value in n, -2\/9, -1\/13, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2470593 to the nearest 10000.\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 14*i**2 + 17*i + 29. Let l be r(-10). Let s = l - 149. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176458793 to the nearest integer?\nAnswer: 13284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (576\/45 + (-48 - -38))\/(-2*3\/30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**13 assuming y is positive.\nAnswer: y**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -307405250 divided by 66466?\nAnswer: -4625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 405*n + 15. Let z(f) = -23288*f - 861. What is -287*d(l) - 5*z(l)?\nAnswer: 205*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, 5, -15, -2 in descending order.\nAnswer: 42, 5, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017490226 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/16373579?\nAnswer: -3\/16373579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by (-2)\/(-3)*(-3 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 9*m**2 - 2*m - 14*m**2 in the form f*m**2 + j + u*m and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21399*u**3 - 18595*u**3 - 5*u + 4*u + 1715*u**3 + 1.\nAnswer: -38279*u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.148.\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 6. Suppose -o + 67 = -s, -k*s = -4*o + 259 + 9. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 300*w**4 - 124*w + 217033 wrt w.\nAnswer: 1200*w**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let w(s) be the second derivative of 1\/3*s**4 + 0*s**3 + 0 + 7*s + 0*s**2. Determine w(d(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 983 + m + 0*m.\nAnswer: m - 752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 498479 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: Let h(y) = -27*y + 74. Give h(-11).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 7*a - 4. Calculate t(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 58. Suppose -2*a + 12 = -o*w, 3*w + 32 = 5*a - 33. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*k + 8. Suppose -k*j + 20 = -70. Suppose -o + 37 = -j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and (0 - 1)*(-10 - 13 - 2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*z + 9*z + 246 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97223.\nAnswer: 7, 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/(4*33\/(-1584))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (344\/(-301))\/((-126)\/49)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 74. Let z be 28\/(-8)*(-6)\/(-14)*-2. Let i be s(z). Is i greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-64)*(-480)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -3*c**2\/2 - 11*c + 9. Let h(m) = m + 5. Calculate -2*a(n) - 5*h(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*z, -6*n = -11*n + 3*z - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -48b567?\nAnswer: 48b566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32) + -5 + (1 + sqrt(8)\/sqrt(4))**2 + (sqrt(24)\/sqrt(192))**2)*6.\nAnswer: -45\/4 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 24 + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.7 + 67. Let i = m - -3. Let j = -19.2 + 24.2. What is the third smallest value in i, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(2)*4) - (sqrt(20)*-2 + sqrt(5)) - 3*(sqrt(180) - sqrt(180)*3))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.45693l to millilitres.\nAnswer: 98456.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46676410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = w - 41, -2*f - 3*w + 35 = -3*f. Let z be f\/55*5\/(-2). Factor 95 - 12*r - 95 - 23*r**z + 2*r**2.\nAnswer: -3*r*(7*r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -0.5, 1\/3, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 + -2.3. Let i = q - -6. What is the third smallest value in i, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**3 - 9*x**2 + 10*x - 12. Let r(f) = -9*f**3 - 8*f**2 + 9*f - 13. Let y(u) = -4*k(u) + 3*r(u). Calculate y(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:19 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 5. Let p(v) = -3*v - 6. Let n(a) = -3*p(a) - 4*w(a). Let g be n(-2). What is the second derivative of 0*s + s**g - 2*s + 4*s wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166446*l**3*o**2 - 415*l*o**2 + l - o**2 + 2*o + 1 wrt l.\nAnswer: -998676*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 divided by -11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 74 - 6. Let p be ((-1)\/2)\/(2\/(-112)). Suppose 3*o + 5*i - p = 0, -5*o + 4 = -5*i + 24. Calculate the greatest common divisor of x and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 711?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -40. Which is bigger: u or -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111551 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000123211 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 4. Let a be v(5). Let k(q) = 7*q**3 + q**2 + q - 1. List the prime factors of k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/15867 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1625 + -670. List the prime factors of u.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = 0, -20 + 60 = d - a. Suppose -50*x + d = -45*x. Solve -u - 2*v + 9 = 0, 3*v - x = 4*u + 2*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 62*s**2 + 6*s + 17. Is w(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/(8\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 9 = 19*q. Let l(p) = 3*p**2 + 2*p + 1. Let t be l(-1). Put 0, t, q in decreasing order.\nAnswer: t, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9*r = 48. Let i(j) = 4*j**2 - 8*j + 5. What is the remainder when i(r) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 539*c\/4 + 269\/2.\nAnswer: (c - 538)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let y(m) = -3*m**2 + 3*m. Suppose 0 = 2*g - 12. Let i = -7 + g. Let t(d) = i*y(d) - 3*h(d). Let c(l) = 3*l**2. What is c(t(p))?\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 8*r**2 + 2*r + 11. Suppose 4*m + 3*p = 7*p + 24, -3*m - 2*p + 33 = 0. Let f = m + -17. Let w be i(f). Let u(v) = v - 4. Calculate u(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64 and 16718.\nAnswer: -1069952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32697 and -2.14?\nAnswer: 0.6997158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i**2 - 3*i**2 - 143 + 142 as a*i**2 + d + s*i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 9*t - t + t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338 - -505. Let y = -155 + i. Solve -3*c - 9 = -b - 2*c, -y = 3*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -50 and -199\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1152 = 4*c, 288 = -0*c + c + 5*q. Let k(s) = -s**3 + 4*s**2 + 3*s + 2. Let p be k(3). Suppose -c = -p*d + 14*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1019 and 0.06.\nAnswer: 1019.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -32. Suppose 5*f + 4 - 14 = 0. Let o be (-4 + (-260)\/(-72))*4*-9 - 10. Solve -v + 21 = -5*k + f*v, -4*v + t = -o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/6 + 49888*n**2\/3 + 1244406272*n\/3 = 0.\nAnswer: -49888, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -705 - -707. Let v(h) be the second derivative of 4*h**x + 7\/12*h**4 + 1\/6*h**3 + 3*h + 1\/20*h**5 + 0. What is v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 8*n**3 - n**3)*(-104*n + 135 - 135).\nAnswer: -520*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52050778 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*-2*2\/10)\/(396\/3762).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 5*b + 4. Let u(o) = 8*o**2 - 6*o + 5. Let g(q) = 6*s(q) - 5*u(q). Determine g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 2, r: 1, v: 2, t: 2, e: 3}. What is prob of picking 1 v and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 4*r - 12, 2*r = -7*j + 4*j + 20. Sort -6, j, 0, 0.2, -2.\nAnswer: -6, -2, 0, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36*q**3 + q**2 + 3*q + 6. Let a be g(-2). Suppose 16*b - 1884 - a = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3982 + 7845. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6497 and 0.037494.\nAnswer: 6497.037494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.057 * 0.2.\nAnswer: 0.2114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2449194 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-6)\/4 + 40. Suppose 5*f - 160 = -5*l, -l + 4*f = -u + 10. Solve -11 = 5*z - l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-10\/11) assuming q is positive.\nAnswer: q**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1)\/sqrt(9)*2 + -5*(sqrt(832) + 0).\nAnswer: -38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/(x**6\/x))**38\/((x*x**(-7\/6)\/x)\/(x\/(x\/x**4))*x**(-2\/21)*x**(1\/5)) assuming x is positive.\nAnswer: x**(1063\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.089944 + -0.09. Round i to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3 + (3 - 4 + 3)*(6 - 1 - 3))*((3 - 2 + 0)*(-x + 5*x - 2*x) - 5*x - x + x + 3*x + 3*x - 4*x) to a + c*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 r when four letters picked without replacement from jjrhrrrjhjrll?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -111. Let y = -69 + t. Let u = 3 - 0. What is the greatest common factor of u and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149\/(1 + (-3 - -3)).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -5. Let k be 4\/6*18\/f. Let x(p) = 19*p**2 - 3*p - 4. Let l(g) = 18*g**2 - 2*g - 3. Let y(a) = -5*l(a) + 4*x(a). Calculate y(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75377008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 1a44 (base 12) to base 13\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221940)\/(-1404) + -92 + 2\/(-26).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45192 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 3. Let y be o(-6). Let a be (28\/(-175))\/(6\/y). What is the second biggest value in a, -2\/11, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + -143. What is the biggest value in l, 42, 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:36 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lql when three letters picked without replacement from {c: 1, m: 1, l: 2, d: 1, q: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 33, -4 in ascending order.\nAnswer: -4, 5, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 13. Let g be o(-9). Let l = g - -25. Solve -l = -2*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(570)*2 - sqrt(570)) + sqrt(570))\/(3*(sqrt(40)\/sqrt(4) + sqrt(10))))\/(sqrt(15)\/(sqrt(45)\/sqrt(9)) + sqrt(3) - sqrt(27)*-1).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -0.09 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from {j: 1, k: 4, r: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {k: 1, z: 1, e: 1, r: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-3)\/(6\/(-4))). Let u = -4 + z. Let i = 199\/3 + -67. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 3 + 3 + (2 - 2 - 3)*(-3 + 3 - 2*l**2) + 13*l**2 + 13*l**2 - 34*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 94*d**3 - 5.\nAnswer: -94*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336206 is divided by 3336200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1318 and 72 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 0*s + 4*s + 23, g + 2*s = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = 22 - 94 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 17*x + 14*x + x - 3*x.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 36. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 187375725?\nAnswer: 187375725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 1, y: 1, z: 6, u: 11}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2. Let x = 50 - 29. Let a(n) = x*n - 74*n + 24*n + 28*n. Calculate a(w(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 plus -0.5?\nAnswer: -118.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 17. Let s = 26 - 14. Let y be p(s). Suppose 2*n = -3*x + 85, -y*n + 2*n = 2*x - 240. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 150.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10 - 4*y**2 - 5*y + 6*y**2 - y**2. Let m be k(4). Solve m + 2 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigiggggg. What is prob of picking 1 g and 2 i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9270)\/(-45) + (0 - (0 - -2)). Suppose 2*l = -c + 1958. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 105*z**3 + 12*z**3.\nAnswer: -102*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/5, 1, -2.74576, 0.7 in descending order.\nAnswer: 1, 0.7, -1\/5, -2.74576, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in hours?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b + 1. What is the tens digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 5*j + 3*j)*(-1 - 1 + 1)*(-57 + 65 - 129)*(4 + 0 - 1)*(-3 + 3 - 2).\nAnswer: 726*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2317 - -18533\/8. Put 41, o, 0.07 in ascending order.\nAnswer: o, 0.07, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14364679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721741 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 97 = -71. Let o = -1 - -2. Let k be (10\/4 + o)*2. What is the highest common divisor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 2*f**2 + 19*f + 44. Give i(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114391865227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n + 0*n**3 + 0 + 0*n**4 - 3\/2*n**2 - 3\/20*n**5. What is the derivative of o(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 14684273 = -14683287 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 101708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-98)\/(-6) - 15\/(-9). Let z(b) = -7*b - 6*b + o*b - 15*b - 1. What is z(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(10*t**2 - 4*t**2 + 92*t**2) - t + t + 2*t**2.\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(3) + sqrt(18)\/(sqrt(30)\/sqrt(5)))**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -8*w + 5*d + 33, 7 = -d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163624 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/245*25*35\/45*2\/(-2)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 1, w: 2, o: 1, f: 1, g: 2}. Give prob of picking 1 y and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, -132, -334, -598, -930, -1336, -1822, -2394?\n\"Answer: -p**3 - 22*p**2 - 73*p + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 153 = 5*a + 4*r, -a - 33 = 2*r. Let g = 36 + a. Solve -5*j + g + 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 6330 = 3*u, -b + 8440 = 4*u. What is u rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q. Suppose 2*l + 5*f = 14, 0 = -0*f + 2*f - 4. Let d(s) = 3*s**l + 8*s**2 - 10*s**2. Calculate d(z(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 2. Let i be d(-2). Let h be (-44)\/2 - (i + -4). Let o be 1\/3*h\/(-2). Solve 3 = o*t - t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 384*z**2 - 124 + 137 + 399*z**2 to the form t + n*z + o*z**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133371787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2 - 3*w + 9*w + 5*w. Let f(c) = c**2 - 3*c + 3. Let o be f(0). Is q(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 37. Let a be f(-16). Suppose -2*g + 3 = 17. Put g, a, -5 in decreasing order.\nAnswer: a, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h - 7. Let r be i(-5). Let k = 9 - 6. Suppose k*j + r = 6*j. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426205 by 24.\nAnswer: -426205\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 1.2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z + 6. Let f be v(2). What is the third derivative of -84*a**f - 53*a**4 - 3*a**3 - 70*a**4 + 115*a**4 wrt a?\nAnswer: -192*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/69*((-1095)\/73)\/(20\/(-2))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2061 by -687.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 - 0.35\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, t: 2, i: 6, l: 3}. Give prob of sequence ti.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026004 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6787\/1002 - -10\/167. Which is smaller: i or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i**4\/5 - 88*i**3 + 84*i**2 + 144*i - 176\/5 = 0. What is i?\nAnswer: -1, 2\/9, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 712 = 3*w - s, 2*w + 4*s - 512 = 0. Let h = 164 - w. Let k = 214 + h. What is the remainder when k is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1323, -1364, -1441, -1560, -1727, -1948?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20031 (base 6) to base 9.\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 10 = 46 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3047100 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 541564.3 hours?\nAnswer: 32493858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 13) to base 14\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-9)\/(-4)*(-30)\/(-45). Let n be 2*1 + 72\/(-30). Which is the closest to f? (a) 0.5 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 2*a**2 - 138*a**3 + 207*a**3 to the form c*a**2 + s*a**3 + k*a + v and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 37, 80, 141, 220, 317, 432?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -37, 14, 107, 254?\n\"Answer: 2*d**3 + 3*d**2 - 2*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17724 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -16*b**4\/7 - 7556*b**3\/7 - 39344*b**2\/7 - 54196*b\/7 - 11208\/7 = 0.\nAnswer: -467, -3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0524 from -57437.\nAnswer: -57436.9476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.153 * -44.\nAnswer: 534.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 + 94 - 94 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 34 = -19. Solve 0 = -10*a + q*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924 - 978 - 946 + 20*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-81)*-3)\/(1\/9). Differentiate -13*o**2 + h*o**2 - 5*o**2 - 15*o**2 + 24 wrt o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f - 12. Let r be c(-6). Solve 4*i - r - 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 l when four letters picked without replacement from llllllnlnnnlnlnnnn.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + -3 + (19 - 19)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a - 2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -496, -4\/3, 3, 0.3, -2\/3, 6\/65?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.142 (b) -1\/5 (c) 0.5 (d) 3 (e) -533\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(45)\/sqrt(20)) + -2*sqrt(243) + -1.\nAnswer: -16*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*y + 225 - 3*y + 360*y**4 - 61 + 144 wrt y?\nAnswer: 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 19*g**4\/8 + 1993*g**3\/8 + 70989*g**2\/8 + 919615*g\/8 + 264275 = 0.\nAnswer: -40, -31, -55\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9322\/4 - 3\/6. Let w = -109420 + 214095\/2. Let b = w + t. What is the common denominator of 36\/29 and b?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-3)*26*294\/(-8918).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 2, t: 3, j: 1, g: 1, i: 8}. What is prob of picking 1 t, 1 j, 1 i, and 1 a?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38891 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**2 - 4*o + 5. Let y be n(6). Suppose -7*u + y = -3*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 42. What is the nearest to a in -5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b - 76. Let r be o(-47). Let n = 1171 + r. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/2, 100, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26505, -26512, -26519, -26526, -26533, -26540?\nAnswer: -26547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22101001011212 (base 3) to base 8\nAnswer: 20761702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143465448 divided by -84.\nAnswer: 1707922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 9*n + 19*n to the form a*n + z and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12004 (base 5) to base 2\nAnswer: 1101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 3, t: 2, c: 1}. Give prob of sequence tv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*z**3 - 32*a*z**2 + 74*a*z + 3*a - 12912120*z**3 wrt a.\nAnswer: -3*z**3 - 32*z**2 + 74*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*7\/((-63)\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -698*a**4 + 1425*a.\nAnswer: -8376*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(6\/(-22)) - -2. Suppose -3*f - 2*h = -3*h - l, -h = 5*f - 19. Suppose 0 = -f*n + 21 + 7. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 + 4*y**2 + 7*y + 3. Let o be n(-1). What is the closest to o in -5, -1\/4, 0.2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 6:28 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 29. Let o be s(-4). What is the fourth smallest value in o, -40, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 25. Find the third derivative of -4*k**5 + a*k**2 - 7*k**2 + 3*k**2 + 2*k**2 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 753805331 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 1\/(-2))*(-168)\/63. Suppose -15 = -w - j - y, -2*w + 18 = 3*j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824196123 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 - 100*z + 626. Calculate u(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/20)*(13158\/(-3315))\/(-129)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 8:10 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29674261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t**2 + 1283299*t + 13735099 wrt t.\nAnswer: 12*t + 1283299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529759?\nAnswer: 7, 11, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139, 344, 553, 766, 983?\n\"Answer: 2*j**2 + 199*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -52*n**2 + 7*n - 4. Let c be d(2). Let g be 8\/c + 5*(-4)\/(-90). Are g and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 3711?\nAnswer: 3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -34. Let q = 13 - 18. Let u = -1.9 - -1.9. What is the nearest to u in w, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from assssaasassaaassasa.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31061 - 22051?\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3770234 divided by -145009?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.1 + -14.1. What is the second smallest value in 5, a, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.1, -1\/3, 5\/2, 2, 0.001, 9 in increasing order.\nAnswer: -13.1, -1\/3, 0.001, 2, 5\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*sqrt(1053)*1 + (sqrt(1053) - (-1 + sqrt(1053)))*3))**2 + ((-4 + sqrt(52))**2 - 5*sqrt(117)) + -5 + (0 + sqrt(1300) + sqrt(13))**2.\nAnswer: -1111*sqrt(13) + 106972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -23*s**2 - 6*s - 12. Let h(l) = 73*l**2 + 19*l + 38. Let d(z) = -6*h(z) - 19*r(z). Let p(q) = 21*q + 119. What is p(d(f))?\nAnswer: -21*f**2 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/10)\/((-2)\/(-4))*5. What is the highest common factor of o and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3238917 hours in microseconds?\nAnswer: 1166010120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -971 + 1618. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254564 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -10*s - 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 5*v + 5*v)*(v - 2*v - v)*(2 + 6 + 7).\nAnswer: 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 280\/21*3\/2. Suppose 4*j - 12 = -3*t, 6*j = -5*t + 3*j + h. What is the second derivative of 10*f**t + 9*f - 12 + 2 + 10 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:47 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22220 and 440.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/5 - (8\/21)\/(6\/27). Determine k so that 8\/7*k**3 + 0 - 2\/7*k**4 + w*k**2 - 8\/7*k**5 + 0*k = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 312645? (a) -4 (b) -2\/7 (c) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 58*g**3 - g**2 - 3*g + 3. Give y(1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -5 + 3 + 172. Suppose -d - v = -1544. Let q be (d\/4)\/(2\/(-3200)). Round q to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/1 - 31\/18 and (-16)\/(-72) + 7735\/468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*z - 12751 + 12751.\nAnswer: 242*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 2.9. Let w = 4.5 + -5. Which is the second smallest value? (a) w (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 231893376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 57 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 52 = h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 13*y**2 - 318*y + 596. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 1, -4, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54321 (base 7) to base 11.\nAnswer: a199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 14 (b) 2 (c) 5 (d) 0.06 (e) -161\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -56, -80, -106, -134, -164?\n\"Answer: -m**2 - 19*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b + 1 - 5\/4*b**2.\nAnswer: -(b + 2)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 944 and 301648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 9. Suppose -2*s + 999 = -11*s. Let h = s - -107. Put h, l, 16 in descending order.\nAnswer: 16, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -581 = -6384\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aae. Give prob of sequence aa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + u = -3, -3*u - 6 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - 5) + -2 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose s*u - 3*u - 5*p + 77 = 0, 4*u + 3*p = 325. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -973*a. Let i(q) = -q. Give i(y(m)).\nAnswer: 973*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -2*z. Let q = -30 + 29.7. Sort -1\/5, z, q in descending order.\nAnswer: -1\/5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 43*p**7\/7 - p**4\/4 - p**3\/3 - 27*p**2 - 45. Find the third derivative of w(g) wrt g.\nAnswer: 5160*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by -3?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = l + 237, 0 = -4*q - 3*l + 5*l + 238. Suppose 0*j + q = 4*u - j, -9 = u - 5*j. Let n = u + 65. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 2*x**2 + 7*x - 1. Let t be o(-4). Suppose 2*n + 5*z = 4*n - 37, 2*n = -3*z - t. Solve 0 = n*g - 5*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 5498.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7222586 divided by 3611293?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 1189, 1188, 1187, 1186, 1185?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + r - 24 = -3*m, -2*m + 16 = r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240*c - 7922 = 1706*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -18*d, -12*d - 33 = 3*f - 15*d for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 8*b = 0. Let d(l) = 6*l**3 + 4*l**2 + 6*l + 7. Let u(r) = r**3 + r**2 + r. Let k(t) = -d(t) + 5*u(t). What is k(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 y, and 1 z when four letters picked without replacement from {n: 6, y: 3, z: 8}?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 2 - (-6 + 7) - (8 + 11 - 24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -293*s + 143*s + 18 + 148*s + s**3 - s**2 in the form h + b*s + g*s**2 + k*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1613*b**2 - 3*b + 11. Let k(t) = -t**2 + 29*t + 299. Let c be k(37). Is r(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -5, 0, -1.\nAnswer: -5, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -24\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from pcffzpfpzzczc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 + -236. Solve 5*c - 4*s = 20, x*s = -5*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-6 - -5) + -23).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, g: 4}. Give prob of picking 4 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -989985285.502706319 + 989985286. Let d = 11.497293731 - i. Let z = d + -11. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 956336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h - 521 + 26 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 16. Let y(p) = p - 3. Let l(q) = -2*g(q) + 11*y(q). Let b be l(1). Suppose 6 = -b*x + 18. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 61 - 4 = 0, 0 = -2*h - 5*p + 67 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/968 and 83\/616.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000166188275 rounded to seven dps?\nAnswer: -0.0001662","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 3e2e55 (base 16) in base 2?\nAnswer: 1111100010111001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 899615*d**2 + 439910975*d - 53852329125.\nAnswer: 5*(d - 179433)*(d - 245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532 + 1014 - 254)*(-89*j + 89*j - 10*j**2).\nAnswer: -2280*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2629087 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187788641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 881 - 881.2. Sort g, -20, -6\/7, -2 in decreasing order.\nAnswer: g, -6\/7, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*26\/(-10)*(4992\/(-6760))\/24.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 18580023.\nAnswer: 204380253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*o - 507 - 273, 4*o - 392 = -j. Suppose -5*d + 1186 + 1239 = 0. Suppose -2*w = 5*u - d, -u - j = -5*u + 5*w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = -0*a + p, -20 = -4*a + 3*p. Is 1 + 20 + -1 + a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let q(x) = 3*x + 17. Determine 4*b(a) + q(a).\nAnswer: 7*a + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547572 is divided by 91259?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12466 and 107.7631.\nAnswer: -12358.2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46996 and 227292?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 6. Suppose -m = -u - 9, -u = -f*m + u + 26. Suppose k = -k + m. Solve -2 - 2 = k*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/54 and 67\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - u + 2, -5 = -n + 3*u + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 36, 1, -78, -207, -392, -639, -954?\n\"Answer: -g**3 - 13*g**2 + 49*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + x**2 - 3*x**2)*(-2 - 1 + 0)*(0 - 5 + 1).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 5*h + 2. Let n be ((-9)\/4)\/(24\/(-64)). Let m be ((-2)\/n)\/(3\/45). Let w be g(m). Solve -t = w - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2431479895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -r - 11*h, -2*r + h - 292 = -h - 396 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*p + 50, -5*l + 1 = -3*p - 1. Let r(t) = t + 4 - 1 - p. Suppose -n = -3*n. What is r(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5. Let v(r) be the third derivative of -r**4\/24 - 3*r**2. Let t(b) = -o(b) - 6*v(b). Calculate the remainder when t(3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -6*u - 14 + 19\/2*u**3 - 3\/2*u**4 - 33\/4*u**2. Factor m(t).\nAnswer: -3*(t - 4)*(t - 1)*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/16 + 173*x**4\/32 - 35*x**3\/4 + 29*x**2 + 3*x. Let c(u) = 0. Calculate u.\nAnswer: -35, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**3\/7 - 2622*w**2\/7 - 7920*w\/7 = 0. What is w?\nAnswer: -3, 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:07 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92, 577, 1890, 4445, 8656?\n\"Answer: 69*g**3 + 2*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.051 + 0.051. Let k = 2 - 2. Sort -3, a, k in descending order.\nAnswer: k, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-6) - 1\/2. Let k = 16 - j. What is the smallest common multiple of 7 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14c6 (base 16) to base 12\nAnswer: 30b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/48)\/(((-14)\/6)\/7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 74840275*m**2 - 74840275*m**2.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -v - 2*b, -2*b + 4 = 0. Suppose -6 = 2*m - o + 9, -10 = -m - 3*o. What is the smallest common multiple of v and ((-4)\/m)\/((-4)\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = 4*t, 0*n - 2 = -n + t. Let i(l) = -5*l + 0*l - 5*l**2 - 4*l**2 - l**3 + 3 + n*l**2. What is the tens digit of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 6. Let d be h(3). Let g = -8 - -2. Let q be g\/(-7) - (d - -4). Which is the nearest to 0? (a) q (b) 19 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let s(z) be the second derivative of z**2\/2 - 2*z. Let f(u) = 2*h(u) - s(u). Find the first derivative of f(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from wxiacxwaijjaxxw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -9, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70960 divided by -5.\nAnswer: 14192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15 = w, o - 3*w = 30. Suppose 4*a + 10 = -82. Let k = -15 - a. Calculate the remainder when o is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, j: 2, p: 1, w: 4}. What is prob of sequence jjuu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 1 + 3. Let h be 69 + (g + 2 - 0). Let b be ((-56)\/(-6))\/(4\/12). Calculate the highest common divisor of b and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let j(b) = -4*b + 1. Determine j(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u - 245. Let g be s(-18). Is g > -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 1556, 5306, 12604, 24632, 42572, 67606?\nAnswer: 100916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -142*c - 8. Is t(-2) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 9 = 0. Let s(k) = -2 + 10*k**x - 11*k**3 - 11*k**2 + 11*k + k - 1. Determine s(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 3 + 52\/(-8))*-2626?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 32\/(-6))*(-18)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from dih?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 95*y + 1631. What is the remainder when s(-14) is divided by 119?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1476\/(-1404) - (-4)\/78. Let j be (2\/4)\/((-2)\/(-8)). Let c be 1\/10 - j\/4. Is c at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4)*-5 + -3. Let s(z) = z**2 + 12*z + 15. Let c be s(-10). Does 9 divide (t - 15\/c)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 5, -2, -4, 11816 in descending order.\nAnswer: 11816, 5, -1, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6171167 is divided by 218.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3 + 3311935*r - 3311934*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*h + 924 = 260*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 25*w + 34. Let k be r(-15). Let j = 57 - k. Let q = 172 + j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + (-21)\/(-3). Suppose -6 = s*r - 55. Suppose r*q - 70 = -0*q. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.0023 to two decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43331, 2, 5?\nAnswer: -43331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 64109845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3129 + 3207. Let l(h) = -h**3 - 3*h**2 - 3*h - 2. Let j be l(-4). Calculate the greatest common factor of v and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4660866, 9321732, 13982596, 18643458, 23304318, 27965176?\nAnswer: 32626032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/((s*s*s**(1\/4)*s*s*s*s)\/s*s) assuming s is positive.\nAnswer: s**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -13. Suppose -2*i - d + 22 = 0. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12*(-6)\/45)\/(6\/15). Let t(m) = -m**2 + 9*m - 6. Let g be t(8). Let n(k) = -6*k**2 - 3*k - 2. Let r be n(-1). Put g, b, r in increasing order.\nAnswer: r, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 10 - (-4 + 6 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 7. Let q be s(-3). Solve -k - 4*k = -5*l, -q*k + 10 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -4\/5, 0.22, -5, -8?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/4)\/((-1)\/1). Let n be (-4)\/3*3\/d. Differentiate -5 + 4 + q + 2 + n*q with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/28)\/(-1*(-22)\/(-77))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -40. Let l(o) = 126*o - 2. What are the prime factors of l(y)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let x(c) = -5*c + 3. Let h(t) = -22 + 118 - 25 - 20 - 28 - 24. Determine s*x(j) + 3*h(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/3 + 3\/9 - 3. Let o(c) = -15*c + c**2 - w + 5 + 19*c. Let k(r) = r**2 + 5*r + 2. Let s be -2 - -4 - (7 - 1). What is s*k(t) + 5*o(t)?\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 29 = -2*d, -2*d - 16089*y + 16087*y = -36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 22 + 38 = 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/24 - 290\/12. Let z(t) = -2 - 5*t + 4*t + 2*t + 1. Let x(i) = 7*i - 8. Calculate w*z(o) + 3*x(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 8. Suppose 1 = -4*v + h. Solve 7*i - v*i = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6241 - 1865 = -4053*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 41*i + 3. Let w(l) = 6*l**2 - 50*l + 14. Let q be w(8). Calculate d(q).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5))**(6\/11)*((z**8*z)\/z)\/(z\/((z**(3\/2)\/z)\/z)))**(-48) assuming z is positive.\nAnswer: z**(-16296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/15, -3\/4, 3\/7, 50, 0.1742?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 48026.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 12*z - 13*z**2 + 5 + 3*z - 3*z. Let s be d(-12). Let u be (-4)\/(-5)*6\/(-8). Which is the third biggest value? (a) s (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 97. Let u be 2 - (-3)\/((-9)\/b). Solve 4*a - u = -0*a + x, 4*a + 5*x - 21 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxxbxbvbxobbbbbbbx. What is prob of sequence bv?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23896, 191234, 645440, 1529950, 2988200, 5163626, 8199664, 12239750?\nAnswer: 17427320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose -f + 3*p + 3 = a, -27 = -3*f + 3*p - 12. Let z = -8 - -10. Solve h + z - f = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236893 (base 14) to base 13.\nAnswer: 334425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49337\/29232 + 1\/3654. Calculate the common denominator of o and -71\/38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800844058*w - 2 - 800844052*w + 2.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let g(u) = -2 - 6 + 1 + 21*u - u. Let c(f) = -g(f) - 6*w(f). Let o(i) = 5*i. What is -2*c(l) - 9*o(l)?\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -4?\nAnswer: -107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 23*x + 62. What is a(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7857025 or -7857024?\nAnswer: -7857024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80924 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 6*h + 7*h + 5*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268*t + 168*t - 300 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 3*q**2)*(2*q - 2 + 2) - q**3 - 3*q + 3*q + (-q + 2*q - 2*q)*(q**2 + 8*q**2 + q**2).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -6.57.\nAnswer: 2.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -40*g**2 + 535*g - 1341. Calculate y(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 17, 0.2, 4\/3, -1\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3*l + 12. Give u(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30310 + 43244. List the prime factors of y.\nAnswer: 2, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/273*(-51)\/(-34)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41043.7166 from 1919.\nAnswer: 42962.7166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16633236*j**5 + 33718182*j?\nAnswer: 332664720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385183 is divided by 163.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 9. Let q be v(6). Suppose q*p + 3*p = 78. Calculate the greatest common divisor of p and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 343*m**2 + 5*m + 7. Is z(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 148 = 4*r - 3*r, 5*r - 4*o - 731 = 0. Let w = 158 - r. Solve -10 = w*z - 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3)*3\/(-2). Let c be (2 + (r - -3))*1. Put c, 7, -2\/3 in decreasing order.\nAnswer: 7, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = 2. Let f = d - 5. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7*o + 4. Let c be s(7). What is the third biggest value in 0.2, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -457736 + -3?\nAnswer: -457740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 7*d - 4. Let l be j(5). Suppose 0 = 10*q - l*q - 8. Suppose -20 - 40 = -q*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**2*y**3 - 2*i**2*y**2 + 79*i**2 - 4*y wrt y.\nAnswer: -15*i**2*y**2 - 4*i**2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) - sqrt(1000)*1) + (sqrt(210)\/(sqrt(24) + sqrt(6)))\/sqrt(7))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2*q\/(q\/(q\/q**(-4)))*q)\/(q**1)**(-26))**(9\/4) assuming q is positive.\nAnswer: q**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2271529575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from ohhohohoohoho?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 85. Calculate the remainder when ((-165)\/(-9) - 3)\/(1 + 2\/(-3)) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100\/3 - -488\/15. Let l(b) = -3*b + 4*b - 2*b + 3*b + b**2. Let q be l(-2). What is the closest to q in 0, m, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (6 - 1) + 11. Let z(l) = 19*l + 2 + 44 - l**2 + 3. What is the hundreds digit of z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:59 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184700 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 + 3*t - 37. Suppose 0 = -4*q + 5*q - k + 3, 0 = 5*q - 3*k + 21. What is the smallest common multiple of r(5) and 1*-2*q\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -382, -384, -388, -394, -402?\n\"Answer: -c**2 + c - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 128 + 47 = -3*c, 0 = 2*m - 5*c + 48. Let k = m - -20. Let d = 12 + k. Solve 0 = d*y - 3*u - 1 - 2, 0 = 2*y - 3*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.06 + 64. Which is the closest to o? (a) 3 (b) -0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-18)*(1010\/(-1818))\/((2\/48)\/(-1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 - (1 + -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*g**3 + 2 - 100*g**3 + 296*g**3 - 99*g**3 - 24*g**4 - 20*g**4 + 9*g in the form x*g**2 + c*g**4 + a + l*g + r*g**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3 + -1 + 0 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42.80827l?\nAnswer: 42808.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = 3*g, -3*g + 5 = -4*v - 10. Suppose 6055 = -g*i + 16*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 42*s**2 + 2. Let q(x) be the third derivative of x**4\/8 + 560*x**2. Determine q(n(u)).\nAnswer: 126*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtadvtoddaaii. What is prob of sequence iiov?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -17. Let s = b - -93. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + -42?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 0.02, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbwstwbtwwtswswwbww. What is prob of sequence bts?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + -4*-2*sqrt(56))\/(sqrt(8)*-1*6).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -2330426?\nAnswer: 2330432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l = 2108 - 1961. Sort l, 1, 86.\nAnswer: l, 1, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 + -89 + (74 + 0 - -7) + 14\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301879397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -201\/10?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*h**3*p**3 + h**3 + 6*h**2*p**3 - 12*h*p**3 + 9*h + 2*p**3 wrt h.\nAnswer: 174*h*p**3 + 6*h + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 - 47*t - 124. Calculate c(10).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29*4 + (-14)\/((-28)\/(-4)). What is the greatest common factor of 152 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357 + 356.999912. What is a rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/28*(-112)\/504.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -21957.46 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3633*b - 13554. Give d(4).\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243615811 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 4\/5, -8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(25)\/sqrt(5)) + -2*sqrt(5324) + sqrt(44))\/((-4*sqrt(3872) - sqrt(3872))\/sqrt(8)).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -5\/4*v**4 + 29\/12*v**5 + 0*v**3 - 3*v**2 + 0 + 0*v - 3\/8*v**6. Suppose l(u) = 0. What is u?\nAnswer: 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6))\/(377\/39 - 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.875 * 7825.\nAnswer: 38146.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313154027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 6203308 and 0.2.\nAnswer: 6203308.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3566 - 294 = 2*o, 5*o = r - 818. Calculate the remainder when r is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -1\/44, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2, -25, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1793 - 1705. What is the highest common divisor of l and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = i - 18, 32 = 2*i - 4*j. Let d be (33\/(-22))\/(i\/(-304)). Let v be (-58)\/(-3) - (-1)\/(-3). Calculate the greatest common divisor of d and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Suppose 5*i - 80 = -7*c + 2*c, -i + 24 = 3*c. Calculate the remainder when i is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4859 * -26\nAnswer: -12.6334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 2*g + 56, -4*g = -2*y + 62. Suppose 30*w - y*w = 3985. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:48 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 301, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56800 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*v - 417*v = k + 11 + 19, 4*k = 0. What is the remainder when 927 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2223*v - 2224*v - 3*n - 18, 5*n = 3*v - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuyhyulyyyylu?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91060)\/120176 - ((-1767)\/(-76))\/(-31).\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*2*-3)\/(sqrt(44)\/(sqrt(22)\/sqrt(2))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30727040?\nAnswer: 2, 5, 41, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 2*v**2 - 6. Let d(c) be the second derivative of c**3\/3 - 21*c**2\/2 - 15*c + 1. Let i be d(12). Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 2. Let x be d(1). Suppose x + 7 = 5*u. What is the third derivative of -y**3 + y**2 + 0*y**3 - 4*y**u - 5*y**2 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)*((-183)\/34 - (-26)\/(-221)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + l - 22 + 21.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2. Let q(a) = -2473*a - 448. Let k(i) = -1161486*i - 210432. Let f(y) = -7*k(y) + 3288*q(y). What is l(f(o))?\nAnswer: -3378420*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**6\/70 + 9*a**5\/140 + a**4\/28 - 3*a**3\/14 + a - 55. Factor u(r).\nAnswer: -3*r*(r - 3)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 251*k**2 - 2*k - 1. Let h be g(-1). Differentiate 3*r**3 + h*r**2 - 128*r**2 - 65 - 116*r**2 with respect to r.\nAnswer: 9*r**2 + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265583107?\nAnswer: 31, 8567197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/15 and 45\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -74, 2 in descending order.\nAnswer: 2, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + 17*s**2 - 40*s - 325. Calculate v(-6).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71564374 + -2151\nAnswer: -71566525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/6)\/((-12)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyyylyyllyyylyylyly. What is prob of picking 2 l and 2 y?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591318 by 1083.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-333)*-3*4. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 88*o**3 - 676*o**2 - 2112*o - 2304 = 0. Calculate o.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.147453 tonnes in milligrams?\nAnswer: 7147453000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 13*s - 18. Give m(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 165 = -4*n, 5*g - 2*n + 10 - 175 = 0. Let b be 396*6\/(-90)*-10. Calculate the greatest common divisor of b and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Let a = 3.81 + -0.81. Let b = -1 - -1.2. What is the nearest to -2\/5 in b, r, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058358\/(-12)*(-102)\/357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2401*m. Let j(i) = -2*i + 28. Calculate a(j(x)).\nAnswer: -4802*x + 67228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.99 + -0.01. Let v = 52\/3 - 35\/2. Put -0.7, v, m in decreasing order.\nAnswer: v, -0.7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 23 = 4*u, 3*g + 11 = -25*u + 27*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 63*y**2 - 6*y**2 - 2*y**3 + y**3 + 1 - 59*y**2. Let o(l) = -l**3 - l**2 - 1. What is 4*o(w) - 2*z(w)?\nAnswer: -2*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -7*o + 256. Let r = o + -31. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -115, -368 in increasing order.\nAnswer: -368, -115, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = 32*h + 3*s + 3270, 0 = -s + 3. Which is bigger: -1095 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 + 5428*h**3 - 3666578*h**2 - 22146240*h - 33292800 = 0.\nAnswer: -3, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 3)\/(2\/(-4)). Let m be (3\/x + -2)*-6. What is the units digit of 4\/m + (-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1145*u**2 - 1282*u - 7524*u + 4412*u**2 - 2297*u wrt u.\nAnswer: 11114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0\/1) + (-6319 - -6360)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:17 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:16 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246033 is divided by 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 + 9. Let c be (-2)\/4*(-1 - -1). Suppose -3*u + 8*u - 40 = c. Calculate the remainder when 16 is divided by f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 39591072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 3*a**2 - 2*a. Let b(z) = z**3 - z**2 + z. What is -8*b(l) - 3*q(l)?\nAnswer: l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 181, 357, 531, 703, 873?\n\"Answer: -s**2 + 179*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-2 - (-36)\/44). Sort d, -2\/19, -5\/6 in increasing order.\nAnswer: -5\/6, -2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = 18. Find the third derivative of w**2 + 2*w**v - 2*w**6 - 3*w**6 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f - 13. Let c be n(-9). Let z = 204\/5 - c. Suppose 61 = 2*h + 57. What is the smallest value in h, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 2*d + 854 = -2*b, d + 113 = 3*b + 2*d for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 260, 518, 776, 1034?\n\"Answer: 258*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o + 1403 + 2384 = 220 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/9)\/b)\/b**(1\/12) assuming b is positive.\nAnswer: b**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -55203782 less than -0.11955?\nAnswer: 55203781.88045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-4)\/3) + 1. Suppose -h = 2*i - 87, -4*h + h + 221 = -4*i. Let m(a) = -h + 2*a**2 + 81 + 98*a - 103*a. Give m(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) - (sqrt(4800) + (sqrt(4800) - -1*sqrt(4800))*4) - sqrt(4800))*-3)**2 + 5.\nAnswer: 3499205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38 - (-758667)\/56 - (2 - 38\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/118 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*6*(-2 - -3). Solve b*a - a - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l + 15 - 8*l + 4*l + l**2. What is the units digit of v(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(10\/13)*v**6*v\/v**2*(v*v*v\/(v*(v*v**(5\/7))\/v)*v*v**(-1\/5)*v*v)**(-22) assuming v is positive.\nAnswer: v**(-2971\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*l**5 + 4*l**3 - l**2 + 53451*l.\nAnswer: 5720*l**3 + 24*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 13491294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = -27. Let v(j) = -86*j + 4. Let c be v(a). Round c to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839435844 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57199 - 37298. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12259 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.1096 and 0.1?\nAnswer: -2.21096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 52*p. Suppose -6*h + 3*h + 105 = p. Calculate the remainder when 54 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 21*m + 72. Let u be g(-4). Suppose z + 47 = 3*y + 696, u*z + y - 2544 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + 3*s**3 + 5*s**2 + 4*s - 18. Let z be m(10). Solve -2*w + z = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 12\/(0 - -3). Suppose 2*u + 0*u = -f*c + 160, -3*u + 255 = 3*c. Is 45 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 666.0729 - 666. Let r = -0.9371 - o. Round r to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44374*v**5 + 8*v**2 - v + 773 wrt v?\nAnswer: 2662440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/21, 4, -3\/4, 2 in decreasing order.\nAnswer: 4, 2, -8\/21, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.6 (b) -178\/7 (c) 0.02 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140052 and 1842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*l - 4*y + 7 = 0, -5*y = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3310023 - -12111320?\nAnswer: 22022003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4987*h**2 - 36*h + 23. Let v be g(21). Round v to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j. Let g(o) = o + 2. Let t be g(0). Suppose -u = -5*p + 9, 2*p + u - t = 3. Let v(d) = 1 + p*d - 3*d - 1. What is 4*v(b) + y(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14068 - -14065. Let f(u) = u**2 + 9*u - 3. Let v be f(-6). Sort 3, m, v in ascending order.\nAnswer: v, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.6889 litres to millilitres.\nAnswer: 206688.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.968. Let f = -0.093 - g. What is f rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194042 is divided by 5106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*h - 2*w = 261*h - 1980, w + 2475 = 5*h. Calculate the greatest common factor of h and 3795.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 70. Suppose r - 2*c = -0*c + 7, 5*c = -4*r + 15. Sort 2, r, f in decreasing order.\nAnswer: f, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 108*f - 842. Let l be h(-7). Solve 71*z = l*z + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1470 and 8130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 494600.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 217 = 21. Let l = 69 - h. Solve 2*j - l = 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 2 - 21*m**4 + 24*m**4 + m**2 + 2*m**3 to v*m**3 + j*m**2 + t + w*m**4 + l*m and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + a**3 + a - 17*a**3 - 3*a.\nAnswer: -16*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**9\/34020 + r**8\/3780 - r**7\/1890 - 19*r**4\/6 + 62*r. Let w(a) be the third derivative of j(a). Factor w(h).\nAnswer: -4*h**2*(h - 3)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -31*b - 89. What is s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5136\/20*305\/(-732)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559765816 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -2, 0.8, 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 21 = g, 27 = -5*c + 2*g - g. Let n(y) = -y**2 + 1. Let h(m) = -8*m**2 + 3. What is c*n(l) + h(l)?\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -4, 1, 0 in descending order.\nAnswer: 4, 1, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m - 4. Let i be k(-5). Let z(c) = 9*c + 1. Let h be z(i). Let f = 25 - h. Solve 2*u = -3*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*v + 2*v = 16, -5*v + 14 = k. Let l = 0 + k. Suppose -2*y - 19 + 7 = -x, l*x - 26 = -3*y. What is the remainder when 31 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437654492 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 34*y**4 - 3 - 2*y - 6*y + y**3 + 39*y**4 - 74*y**4 to the form s + b*y**4 + a*y**2 + c*y**3 + z*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -15, -0.4, -0.5, -0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1 + 2 + 0 - 125*c. Let f be g(-1). Suppose 3*l - l - f = 0. What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -196, -159, -122, -85?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1939.97 - 350.07. Let p = 1599.2122 - o. Let q = p + -9.3. What is q rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/10 + (-2)\/(-5). Solve -4 = 2*y, 1 = 5*b - 2*y - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12007 + -12002. Suppose 0 = 5*b - 152 - 3. Solve 0 = 2*n + 2*m - 18, 3*n + f*m - m - b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 60*l**2 + 19*l. Determine j(-2).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -547\/837 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -143*a**4\/12 - 209*a**3\/6 - 5*a**2\/2 - 206*a. Let z(t) be the first derivative of r(t). Differentiate z(b) wrt b.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l**2 - 12*l. Let f(t) = 4*t**2 - 4*t. Let i(c) = 8*f(c) - 3*o(c). Find the second derivative of i(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7882?\nAnswer: -1\/7882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 702 = 53*d - 26*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 + 23 - 30 - 1 - 2892*k**2.\nAnswer: -2892*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 s when three letters picked without replacement from {l: 1, m: 1, o: 1, p: 1, s: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y*y*(y*y**2)\/y)\/(y**(-1\/5)*y\/(y*y**(-3\/8))) assuming y is positive.\nAnswer: y**(259\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28995, 28997, 29003, 29013, 29027, 29045?\nAnswer: 29067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.772412 to three dps.\nAnswer: -2.772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15122, 15121, 15120?\nAnswer: 15119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 68 = -9*x. Suppose -11821 = -x*s + 1615. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20752 and 0.07?\nAnswer: -1452.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 1589599712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*g + 91*g + 17737 - 17737.\nAnswer: 215*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 28935 (b) -3 (c) -1\/3 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -55, -57, 4, 31, -2\/7?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -43. Let u(k) = 6*k**2 - 25 + 7 + 1 + b*k + 9. What is the remainder when u(-4) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7065.\nAnswer: -7070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1147 divided by 58083\nAnswer: 1147\/58083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*u**4 - u**3 + 234 wrt u.\nAnswer: 488*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4137 divided by -230.\nAnswer: 4137\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22220101 (base 4) to base 16\nAnswer: -aa11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*h**3 - 1274*h**3 + 423*h**3 + 418*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/(-2842)*-29*-26*(-3)\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.4, 0, 0.3, -0.5 in descending order.\nAnswer: 4, 1.4, 0.3, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2 - 28*l**2 + 7*l**2 + 8*l**2. Determine q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*sqrt(78)*1 - 6*(sqrt(78) + (2*sqrt(78) + sqrt(78) - sqrt(78)) + sqrt(78))))\/(-2*sqrt(486) - sqrt(486) - sqrt(150)*3) + 5.\nAnswer: 5 + 20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 188373209 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -9\/24287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 - 4485*m**3 + 79185*m**2 - 65755*m - 149430 = 0.\nAnswer: -1, 2, 17, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7596 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*b - 1550 = 289*b. Let c = b - -325. What is the greatest common factor of c and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2. Let q(y) = 2*y + 4. Let u(t) = -735*t - 1176. Let d(r) = -882*q(r) - 3*u(r). Calculate w(d(m)).\nAnswer: 1361367*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a**2 - a**3 - 20*a**2 + 7*a**2 + 1 + 2*a in the form n*a**2 + m + v*a**3 + c*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-14))**(2\/11)\/(p*p*p\/(p**(-2\/17)*p)*p*p*(p\/p**16)\/p) assuming p is positive.\nAnswer: p**(1746\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*r + 11455 - 6171 = -56*r - 8576 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13887617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - y - 2*y = 25, 2*y + 12 = q. Suppose -4 = 2*i, -m + 5*i + 1 = -7. Let n = q + m. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -132*((4 - (-21)\/2) + -2). Round n to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.2 - 8. Let l = 0.2 - p. Is l < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-40)*5)\/(7\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1218526ug in kilograms?\nAnswer: 0.0000000001218526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28959 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4916, -1, 5 in decreasing order.\nAnswer: 4916, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*6\/(-900)*-5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:14 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1609*s**2 + 5*s + 15. Let q(w) = -1548662*w**2 - 4812*w - 14436. Give 4812*p(o) + 5*q(o).\nAnswer: -802*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d**2 - 2*d**2 + d**2)*(-3 + 2 + 2).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66)*-1*-3)\/sqrt(6) - (sqrt(99) + 0 - (2*sqrt(88))\/sqrt(8))**2.\nAnswer: -11 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 588715*z - 2354844 = 0. Calculate z.\nAnswer: 4, 588711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 16*x + 35. Let t be r(18). Let v be (t + -1)*154\/(-44). Let m(o) = o**2 - 10*o - 3. Give m(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 10. Calculate k(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + 7 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y**4 - 22*y**3 - 14*y**2 + 8. Let j(n) = -37*n**4 - 66*n**3 - 40*n**2 + 22. Let t(r) = -8*j(r) + 22*p(r). Factor t(m).\nAnswer: 4*m**2*(m + 1)*(8*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -186 in -0.4, -0.01338, -0.2, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2211200 (base 3) to base 13\nAnswer: c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2324 + -9295\/4. Which is the closest to w? (a) -0.2 (b) -0.4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 + 227. Suppose -a*o - 5*o = -18. Solve -10 = -8*g - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)\/(z**(-5)\/z)*(z*z\/(z**6\/z*z*z))\/(z\/z**6) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 7. Let j be t(6). Let a = -15 + 20. Sort -4, j, a.\nAnswer: -4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 - 965 + 470 = -224*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377104941?\nAnswer: 3, 23, 1821763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 3*k + 1. Let f(u) = -u**2 + 103*u - 579. Let r be f(6). Calculate a(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**3 - 5*s**2 + 2*s. Let w(a) = 6*a**3 + 6*a**2 - 2*a. Suppose h + 8 - 9 = 0. Let n be (2 - -2)\/(-2 + h). What is n*z(p) - 3*w(p)?\nAnswer: 2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*y + 10, -2*i + 6 = -y - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*g**2*q**3 + 5*g**2*q + q**3 + 107*q**2 + 229*q wrt q.\nAnswer: 282*g**2*q + 6*q + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.67 from -148.\nAnswer: -147.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**3 - 16*n**3 - 8 + 9*n**3 + 0*n**2 - 8*n + 2*n**2.\nAnswer: 2*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-35 + 18)) + 17 - 20.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 8:46 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 92 = -3*u, 0 = -3*x - 56*u + 60*u - 44. Which is the second smallest value? (a) x (b) -4\/9 (c) 6 (d) -0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -1) + (5 - 6))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/41 in 4\/11, -2, -39?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(52\/(-25740)*-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 5, 3, -0.2616, 0.5?\nAnswer: -0.2616","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 3*w**2 + 3*w - w**3 + 1 - 2*w + 4*w. Let k be -3 + 10 + -3 + 1. Suppose -11 = k*g + 4. Determine h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 186 - 199 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/208 (b) -1 (c) -1352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10165 + 523?\nAnswer: 10688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2. Let j(l) = -l**2 + 117*l + 21870. Determine j(g(n)).\nAnswer: -25*n**4 - 585*n**2 + 21870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*q - 1031*w + 1029*w, 9*q - 5*w = -60 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.221 + 115.779. Let c = -115.96 + f. What is the closest to -1\/3 in 0.4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -115*c + 801. Give a(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2500031, 2499992, 2499953, 2499914, 2499875?\n\"Answer: -39*y + 2500070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/19 in 1, -1.6, -34.9, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 12:49 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3\/17 - 56180*h**2\/17 + 7734664*h + 87684496\/17.\nAnswer: 2*(h - 4682)**2*(3*h + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3586643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/6 (b) 0.19 (c) -9 (d) 37 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2907056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 2. Let l(g) be the third derivative of -g**4\/24 - g**3\/6 + 12*g**2. Let j = -5 + 9. What is j*l(c) - a(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 4*i - 18, -4*m + 111 = -4*i + 119 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 26 = p, 3*p + p - 2*b + 64 = 0. Does 14 divide ((-2)\/(-2))\/((-1)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/91805*61*1.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55635863 to the nearest integer?\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 + 5*g + 6. Let x be d(-9). Is x*2\/12*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441020541 + -2?\nAnswer: 441020535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -186903696 take away 0.2?\nAnswer: -186903696.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90655 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 390\/54 + (-6)\/27.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00304388296 to 5 dps.\nAnswer: 0.00304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**6\/90 - 7*t**5\/60 + 7*t**4\/12 + 3*t**3\/2 + 1322*t. Suppose o(x) = 0. What is x?\nAnswer: -9, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 53 = 2*t, 19*t - 5*b = 18*t + 32. Suppose -3*h + 8 = -0*h + 4*n, 3*n + 36 = 3*h. Calculate the remainder when t is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/f**8*f*f*f**(-2\/17)*(f\/((f\/(f\/f**25))\/f))**28 assuming f is positive.\nAnswer: f**(-11001\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -983*u**4 - 937*u**3 + 6*u**2 + 182739*u wrt u?\nAnswer: -23592*u - 5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -1\/3 (c) -229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 5*o + 3*o + (3 - 2 - 2)*(3*o + o - 2*o) + 4*o - 2*o + 0*o + (6 - 3 - 4)*(-5*o + 4*o + 0*o) + 9*o + 3*o - 5*o in the form s*o + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1602055 (base 7) to base 14\nAnswer: 59c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-214)\/(-280) - (-56)\/(-70))\/(5\/(-46 + 6)). Factor 8\/7*v - 6\/7*v**3 - 8\/7*v**2 + 0 + j*v**5 + 4\/7*v**4.\nAnswer: 2*v*(v - 1)**2*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376192465*u + 296228210 with respect to u.\nAnswer: -376192465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/130 and -87\/2990.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/7 - 88*z**3\/7 - 660*z**2\/7 - 152*z - 70 = 0. What is z?\nAnswer: -35, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 3*q)*(-4*q + 7 - 7) - 2*q**2 - q**2 + 4*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 392, 420, 496, 644, 888, 1252, 1760, 2436?\n\"Answer: 4*t**3 + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/14 (b) 1.7 (c) 13\/9 (d) -4 (e) -0.3 (f) 3\/4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707630 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.238 * -1.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1\/1 - 3). Let n = -4 - -4. Suppose -3*g - g - 20 = n. Let k(q) = 7*q + 5. Let i(y) = -3*y - 2. Calculate a*k(p) + g*i(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607.133nm in millimeters?\nAnswer: 0.001607133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*z + 169*z - 481*z + 161*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25583700 to the nearest one hundred thousand.\nAnswer: -25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 8) to base 2\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 8*i**2 - 6*i + 2. Let x be b(10). Let z = 217 - x. What is the highest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -659 (b) 0.5 (c) 6024 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5274427*l**2*z**2 - 3*l**2 + 874926*l*z wrt z.\nAnswer: 10548854*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -1\/3 in increasing order.\nAnswer: -1\/3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1837\/460634 or 1?\nAnswer: -1837\/460634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u**3\/9 + 24*u**2 - 104*u\/3 - 64\/9 = 0. What is u?\nAnswer: -2\/11, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 3*c + c + (-3 + 1 + 3)*(0*c - 2*c + c) + 0 + 0 + c)*(-17 + 5 - 6)*(2*c**2 + 3*c**2 - 3*c**2) as a*c**3 + v + i*c + l*c**2 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -22*w - 81*w. Let b = -0.3 - 3.61. Let i = 0.09 - b. What is the closest to 1\/4 in i, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342140 + -4010120?\nAnswer: -4402310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2249 + -4?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:38 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2770 and 452.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123110 + -2202023?\nAnswer: -2012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19280642*s**3 - 8233675*s wrt s?\nAnswer: 115683852*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -14*v - 26 + 23\/2*v**2. What is the derivative of n(l) wrt l?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.725001161 - 1.725. Round r to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.378 to the nearest integer.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/((-33)\/30756). Let z = -515 - m. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 21*v**2 + 20*v + 36. Let x be l(20). Calculate the highest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 830 = -34. Calculate the remainder when 220 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:25 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**5 + 6577*i**4 - 5*i**3 + 989128*i**2.\nAnswer: 480*i**2 + 157848*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4913 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 50765.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 197. Let d(t) = -t**3 - 7*t**2 - 2*t - 5. What is d(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*v + 3 = 2*v, 3*v + 18 = 3*m. Suppose -2*p - 23 = -5*w, m*w - 36 + 5 = 4*p. Find the second derivative of 7*b - 4*b + 0*b**w + b**3 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**3 - 9*h**2 - 5. Let j(n) = -n - 12. Let b be j(0). Let z(y) = -22*y**3 + 22*y**2 + 12. Let x be 5\/((12 - 16) + 3). Calculate b*o(a) + x*z(a).\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-360)\/225 - (0 - (-496)\/(-10)). Let h(i) = 7*i**2 - 5*i. Let o(c) = 66*c**2 - 48*c. Calculate j*h(u) - 5*o(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:32 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 8422 + 8150. Let r(y) be the third derivative of -1\/120*y**5 - 49\/12*y**3 - b*y**2 + 0 + 0*y + 7\/24*y**4. Solve r(k) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3\/3104, -6 in increasing order.\nAnswer: -6, -4, 3\/3104, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 29556014?\nAnswer: -29556012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7732878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -447b + 7d?\nAnswer: -43ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2053888 or 3\/16?\nAnswer: -2053888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 + 22 = 0. Suppose 3*h - b = 263, 5*h + b - 202 = 231. Suppose -h = -d*i + 45. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*b**3 + 16*b**3 + 19*b**3 - 61*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.06216l?\nAnswer: 55062.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o - 3. Solve 4*f = -3*u - 9, f + 12 = -f - o*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 210031323203?\nAnswer: 210031323120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 2) + -17 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1289597, -5158548, -11606799, -20634350, -32241201, -46427352, -63192803?\nAnswer: -82537554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let g(k) = k**3 + 2*k**2 - k. Suppose 0*s + 6 = 3*s. Let p(b) = -2*b + 2*b**3 + 9*b**2 + 0*b**2 - 5*b**s - b**2. What is o*p(a) - 5*g(a)?\nAnswer: a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**5 + 65*g**4 - 335*g**3 + 855*g**2 - 1080*g + 540 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 820740.2 minutes?\nAnswer: 49244412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.9 - -18. Let q = 1.7 + -6.7. What is the closest to -1 in 2\/5, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 + -232. Calculate the least common multiple of 4 and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1406 and -87\/1258.\nAnswer: 23902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716049301.\nAnswer: 41, 113, 587, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2. Let x(u) be the second derivative of -u**5\/20 - 5*u**2\/2 + 2*u. Suppose -3*g = -2*n + 6, 0 = -4*g - 0*n + n - 8. What is g*x(b) + 5*f(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*a**3*d**5 - 13*a**3*d - 10*d wrt d.\nAnswer: -1160*a**3*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - -2)\/((-768)\/(-128))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 40*r**3 - 2*r**2 + 4. Let i(z) = -39*z**3 + z**2 - 3. What is 4*i(o) + 3*l(o)?\nAnswer: -36*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (4 - -26)) + (-7 - 53).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.97 + -1.53. Let r = j - -9.6905. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.4, 0.09 in increasing order.\nAnswer: 0.09, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 21. Let d(h) = -4*h + 10. Let a(u) = 5*d(u) - 3*m(u). Let s be a(10). Suppose q = -8 + s. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-508)\/(-6) + (-12)\/18. Suppose -4*z + 3*f = -79, 4*z - 2*f - 2*f - o = 0. Solve 0 = 4*t + z, -2*s = 2*t + 2*t + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 10*l**2 - l - 39. Let x be j(9). Calculate the greatest common factor of x and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1050224\/615 + 5123\/3. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let s(c) = -10*c + 1. What is s(g(n))?\nAnswer: -10*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(720) - (-1 + sqrt(720)*2))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, 40, 19134?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnndnnntdnnot. Give prob of picking 2 n and 2 d.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -165. What is the least common multiple of 4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15668224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106193.\nAnswer: 103, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -3720. Is (1 - 3 - -1) + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5318*g + 244?\nAnswer: 5318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350*d = 2353*d + 4*s + 81, -5*s - 105 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4) + -1)*-22. Is 88\/9 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-33)\/(-11) + 0 + 159 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**3 + 40*t**3 - 5*t**3)*(84*t**2 - 75*t**2 + 104*t**2 + (-1 + t + 1)*(-3*t + 0*t + 4*t)).\nAnswer: 5586*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - v - 560 = -0*v, -242 = -2*l + 4*v. Let w = l + -106. Which is the closest to 2\/3? (a) -3 (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -18. Suppose -h = 2*i - 3*i. Solve -7 = -5*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*n + 630928 = -319*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*q + 5. Let i(w) = -w + 18. Let s be i(q). Solve 4*r + s + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(90) + sqrt(11))**2*-3*5.\nAnswer: -880\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*n - 22305 + 2955. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3329 + 8314. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2464614 (base 7) to base 13\nAnswer: b2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 11342202?\nAnswer: -11342104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*o**3 - h*o**2 - 13*h*o - 83983*o**3 + 4*o**2 + 3*o + 7 wrt o?\nAnswer: 12*h - 503898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/21, -4, -16?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*p**2 - 63348*p + 36208.\nAnswer: -4*(p + 2263)*(7*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*w = -3*q + 132, 4*w + 72 = 2*q. Suppose 0 = -38*r + q*r + 1776. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14408438 divided by 654929.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27297, 27192, 27011, 26754, 26421, 26012, 25527?\nAnswer: 24966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255\/4463 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1)\/(0 - -1). Suppose -2*f - 2 - 6 = 0. Let t be f\/(-3 + 11)*b. Solve -4*y + 2 + 14 = t, 4*h - 20 = -y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -78 + 0*j + 0*j**2 - 1\/18*j**4 - 2\/3*j**3. Suppose c(k) = 0. What is k?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115839334291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p - 1. Let o be k(5). Let j = -42 - o. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 275, 332, 297, 140, -169?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 9*z + 2. Let s be q(-9). Solve -s*t = -7 + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57654, 115296, 172918, 230508, 288054, 345544, 402966, 460308?\nAnswer: 517558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205205000 rounded to the nearest one million?\nAnswer: 205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 6*n**3 + 3*n**3 - 46*n**3 + 22*n**3 - 26*n**3 + (2*n - 5*n**3 - 2*n)*(16 - 8 + 10).\nAnswer: -141*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.324, 86?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 13530090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 7*i**2 - 3*i + 129. Give a(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 39*i**4 - 162*i**3 - 120*i**2 + 672*i + 1152.\nAnswer: -3*(i - 2)*(i + 3)*(i + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -186*q**2 + 5*q + 2. Let g be s(-1). Are g and -189 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.226109765 - -0.2261. What is m rounded to seven decimal places?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m**5 + 19*m**5 + 16*m**5 + (3*m**3 + 2 - 2)*(-3*m**2 - m**2 + 2*m**2).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.007 - 6.907. Let s = m - -12. Let n = -1.1 + s. Which is the closest to -0.2? (a) 0.1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*x - 2*b + 3938, -5*x = 4*b - 4076. What is the least common multiple of 145 and x?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/12 - o**5\/60 + 13*o**3\/2 - 55*o**2. Differentiate g(y) wrt y.\nAnswer: 30*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/7, -2, -0.1, -808, 1\/5, 5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/2 + 36891*z**3\/2 - 1658409*z**2\/2 + 12490409*z\/2 + 7092855 = 0.\nAnswer: -1, 11, 35, 36846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -87) + 6 + (1658 - 1663)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*g - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7\/6, -0.3, 0 in decreasing order.\nAnswer: 1, 0, -0.3, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2\/2 - 7*p - 2. Let w be g(-6). Which is smaller: w or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n. Let j(k) = -2*k. Let r(d) = 14*j(d) + 6*v(d). Let m(s) = -2*s. Give r(m(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 358886549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 190. Let c be k(-38). Is -11\/8 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (326 - 197) + -7 + -191?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from xcccxccccchcccxccccc.\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-72\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-12)*(-4)\/4*-12. Let v = 38 + -11. Let s be (v\/(-15) - -1)\/(3\/g). What is the nearest to -1\/2 in -2\/15, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/147 and (-92)\/18*30\/440*-4.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -46*u**4 - 4*u**2 + 2*u - 9. Let j(a) = a**2 + 1. Let h(c) = -4*j(c) - y(c). Find the second derivative of h(o) wrt o.\nAnswer: 552*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x - 6. Let r be w(7). Let i = -8 + r. Suppose v = 4*f - 9, -2*f + 5*f = -2*v - i. Solve 4 = -q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k + 5. Solve 8 = -4*z - y + 25, -2*z - 3*y = -k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 822, 3342, 7554, 13470, 21102?\n\"Answer: 2*r**3 + 834*r**2 + 4*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5921\/54740 + 2\/1955. Calculate the common denominator of n and -25\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.05 + -210?\nAnswer: -223.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*d**2 + 7*d**3 - 7*d**3 + d**3 + 2 - 4*d**3 - 2 + (-5 + 1 + 3)*(d - 2*d**3 - d).\nAnswer: -d**3 + 49*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 1, v: 5, f: 1, z: 2}. Give prob of sequence svsk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -55*l - 50. Let m be n(-17). Let b = m + -889. Let a(h) = -5*h + 7. Determine a(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167331125*b**3 - 4685155800*b**2 - 3239580*b - 560 = 0.\nAnswer: -2\/5785, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10512 and 1235817.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1029 - 7222 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -304167*f**2. Let x(i) = -2724*i. Determine l(x(o)).\nAnswer: -2256972673392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409 - -415. Suppose 29 = 3*h - 5*l, h = o*h - 3*l - 27. Solve h - 18 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 - 2*c**2 + 7*c**2 + (4*c + 2*c - 2*c)*(-2*c - 2 + 2 + (2*c - 4*c + 3*c)*(-3 + 5 - 3) - c + 2*c + c - 5*c + c + 3*c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-36)\/(-8))*8\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 5*h**4\/28 - 2*h**3\/3 - 3*h**2\/14 - 48. Factor p(u).\nAnswer: u*(u - 3)*(5*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3 - 3\/2*b**2 + 6*b + 0. Suppose -k - 22 = -5*a, a - 3 = -k - 1. Give x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685736 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeeeex. What is prob of sequence xxe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*t**4 + 3*t**3 - 9*t + 30150 wrt t.\nAnswer: -44*t**3 + 9*t**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -5, -4, -1, -4832, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 - 160.9927. What is u rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 1.2, 15, -1 in decreasing order.\nAnswer: 15, 2, 1.2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -130166 take away -0.13?\nAnswer: -130165.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*x + 73 - 240, 0 = -3*k - 5*x + 91. Solve -8*w = -80 + k for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j - 35 = 0. Are 10 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 2\/9 (b) -0.2 (c) -8 (d) -4411 (e) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -100359.\nAnswer: 2\/100359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/51)\/(-7)*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-4)\/18 + 3420\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 11731366?\nAnswer: -11731361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r - 26*r - 36 = 0. What is the smallest value in 2\/13, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1119558379*j**4 + 994009802.\nAnswer: -4478233516*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3516, -3515, -3514, -3513?\n\"Answer: k - 3517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)*-2 - sqrt(170)) + sqrt(170))\/((sqrt(120) + sqrt(120) + sqrt(120)*-1 + sqrt(120))\/sqrt(12)) + 5.\nAnswer: 5 + 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from aallalllalllllaaaaal?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3)*f)**(-44))**(-4\/5))**(-7\/3) assuming f is positive.\nAnswer: f**(1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:18 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 943950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 2, e: 4, h: 9}. Give prob of sequence kn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 72876.4653 to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3 + 15\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452243618 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(931) - (sqrt(931)*-2 + sqrt(931) + -1)).\nAnswer: -14*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312708 and 1564?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20917705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16029, 16781, 18031, 19779?\nAnswer: 22025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7348\/(-66))\/(3\/(-9)). Let g(o) = 147*o + n*o - 363*o. Let p(i) = 2*i**2. Determine p(g(s)).\nAnswer: 27848*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1645 - 20*z - 823 - 822)*(20 + 14 + 13).\nAnswer: -940*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72448.24km in nanometers?\nAnswer: 72448240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**4\/24 - 21*i**2. Suppose w = 4*y + y - 19, -5*y + 11 = w. Calculate s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -14 - (-3 + 0). Let z be 46\/(-12)*-3*p. Let c = -262 + z. What is c rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 35. Let y = 216 + -61. What is the highest common factor of y and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100201201212 (base 3) to base 9\nAnswer: -321655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/4)\/((-6)\/(-24)). Let i(p) = y + 0 - 3 + 1 - p. Determine i(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1346240 and 100?\nAnswer: 6731200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 37*w**2 - 71*w + 267. Determine v(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.334, -2\/11, -3, 0.172 in decreasing order.\nAnswer: 0.172, -2\/11, -0.334, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 less than -19932?\nAnswer: -19890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.55 - -0.35. Let w = -5 + k. What is the closest to w in 4, 5, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 10, -1, 218, 4\/13 in descending order.\nAnswer: 218, 10, 2, 4\/13, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 + 5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5758.893 millimeters in nanometers?\nAnswer: 5758893000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1567544 and 2816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/6 - 41*m - 3. Let d(t) = 2*t + 8*t + 9*t. Determine l(d(q)).\nAnswer: 722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/12 - 8*l + 4. Let f(c) be the first derivative of k(c). Let s(m) = -2*m**2. Determine f(s(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 5*p + 2*p)*(4*p - 4*p + 5*p**3) + (-5 - 3 + 1)*(p**4 + 5 - 5).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 + 7*q**3\/6 - 4*q**2 + 55*q - 2. Let n(v) = -v**3 + 6*v - 7. Give 4*c(h) - 5*n(h).\nAnswer: h**3 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 - -219. Calculate the highest common factor of u and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.08 + 0.08. Let u = d - -1.3. Which is the closest to 2\/3? (a) -4 (b) u (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40822 (base 12) in base 5?\nAnswer: -10142442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 913686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -43. Let i(p) = -4*p - 14. Let h(u) = -3 + 5*u - 2*u - 4*u. Give t*i(f) - 14*h(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9290*a**3 - 8874*a**3 - 8871*a**3 + 27025*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.28 and -10.08635?\nAnswer: -22.996878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 11 - 3 + 0*f**2 - f - 1. Let j be d(-6). Let l = j + 128. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 288955?\nAnswer: -288959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 1296. Let t be q(0). Suppose t = 2*a - a. Suppose 2*y - a + 410 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1422, 2209, 2988?\nAnswer: 3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2212, -4425, -6638?\nAnswer: -8851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54749 is divided by 1091?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqffjffnfnffbcf. Give prob of picking 1 q, 1 b, 1 j, and 1 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 28*k + 37. Let m(c) = 56*c + 74. Let t(f) = -4*m(f) + 9*o(f). Differentiate t(h) with respect to h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*t**3 + 30 + 322*t**3 - 608*t**3.\nAnswer: 2*t**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-8 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302384063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 33. Suppose t*i - 5*i = 0. Suppose 2*q - 3*k + 5 = 0, 2*q + 3*q = 4*k + 5. Solve -l = -i*l + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 - 85 = 0. Suppose -2*k - 3*c + 46 = 0, c - 5*c + 42 = 2*k. Calculate the remainder when z is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2031, 2037, 2047, 2061, 2079, 2101, 2127?\n\"Answer: 2*i**2 + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 + 8 = 0. What is the second derivative of -3*p - s*p**2 - 3*p**2 - p**2 + 5*p**2 wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {x: 1, d: 7, u: 2, y: 1, m: 5}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 115 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-18)*-9*(-10)\/(-105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 22.25488 grams?\nAnswer: 0.00002225488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**4\/24 + 2*v**3\/3 - 23*v**2. Give w(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 5. Let s be c(10). Let k = 72 - 55. Sort -3, k, s in decreasing order.\nAnswer: k, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 21*t**3 + 3*t**2 - 3*t**2.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 251, 370, 489?\n\"Answer: 119*j + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18235*c**4 - 4 - 6055*c**6 - 317*c**2 + 18235*c**4 wrt c.\nAnswer: -726600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 40*b - 3. Determine x(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17898\/13 - -35809\/26. Solve d*j**5 + 9*j**2 + 0 + 21\/2*j**3 + 4*j**4 + 0*j = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2\/5 (c) -0.08 (d) 52\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 92.6. Let w = 4.6 + q. Which is the fourth biggest value? (a) -3 (b) w (c) -1 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*g**2*i**2*p + g*i**2 - 7*i**2*p - 7*i*p wrt g.\nAnswer: -542*g*i**2*p + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(612) + 2 + sqrt(612))**2.\nAnswer: 72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3 + 14734*i**2 + 75916*i + 92840.\nAnswer: -(i - 2110)*(i + 2)*(7*i + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*a**4 - 3630*a**3 - 8798*a**2 - 5618*a.\nAnswer: -2*a*(a + 1)*(15*a + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(2 - (-3 + 7)). Suppose 12*s = 9*s + 81. Let z be s\/(-6)*(-4)\/(-3). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -63. Let l(a) = -59 - 7*a + 114 - 59. What is the remainder when 98 is divided by l(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914\/11 less than or equal to 266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8200 divided by 5.\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -33. What is the least common multiple of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346050 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208245341.\nAnswer: 199, 1046459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 43*p - 276. Give t(-7).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:28 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1142 + 1142. Suppose 0 = -2*m - 7 - 9. Sort 2, y, m.\nAnswer: m, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21192 divided by -5298?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/3 + (-8)\/(-6). Suppose 0 = -g*y - 2*o + 4*o + 28, 2*y - o = 12. Find the third derivative of -3*x**4 + 7*x**6 + 3*x**y + 7*x**2 - 9*x**6 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*p + 222*p = 8. Let w be 88\/110*((-7)\/(-6) - p). Put w, -3, -0.5, 2 in decreasing order.\nAnswer: 2, -0.5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g - 3. Let a be b(-5). Let k be (8\/(-6))\/(16\/a). Let u(l) = -l**3 - 5*l**2 + 4*l + 1. What is u(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222466732 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2366 + -2271. Solve 0 = -259*n + 278*n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-3)\/(-1))*(-27448)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 0.14 in decreasing order.\nAnswer: 3, 0.14, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -47, 4, 0.2, 3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72*(-2118)\/(-66)*11?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c*((c*c**(-26))\/c*c)\/c)\/c)*c**(2\/93))\/((c\/(c*c*c*c**(1\/17)*c))\/c**(-14)))**(-38) assuming c is positive.\nAnswer: c**(-905996\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from gyrggrygyg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 46669924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8*(-4)\/(-256).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9360 and 11154?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = w - 1, 0 = 2*w - 2*o - 21 + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20434.\nAnswer: 2, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose -6*d + 3*d + 39 = q. Solve 5*c - d = -2*g + g, g + 3*c - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4584 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*g**6 + 148*g**2 wrt g?\nAnswer: 19560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101110001001000 (base 2) to base 10\nAnswer: -23624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*x + 853 = 133*x - 4267 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 10203.\nAnswer: -2040.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7))\/(370\/259)*100\/(-15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q**2. Let t(d) = -4*d**2. What is r(t(p))?\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-11)\/n**30 assuming n is positive.\nAnswer: n**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1890*1 - (3 - -1 - 0). Let b = n - 292328\/155. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/15 + 1 - (-1644)\/1260\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 2*g**5\/15 - g**4\/8 + 7*g**3\/3 + 5*g**2. Is n(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 317 = -4*d. Let s = d - -353. Let h = -22 + 31. Calculate the greatest common divisor of h and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -17. Suppose -s - 20 = v + 3*s, 0 = 2*v - 3*s - 4. Sort -3, v, j in descending order.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 13*f**2 - f - 22. Calculate x(-12).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0136, 5, 3\/20, -0.5, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0049 (b) 5\/4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -197*k + 764. Solve 4*n - 16 = -4*f, -3*f - k*n + 19 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/(3\/15). Suppose -3*n - 6 = -3*t, -18*t = -21*t + n + 8. Sort 0, -4, t, c in descending order.\nAnswer: c, t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 10, 0.1, 4, 40, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 39*n**2 + 21 + 27 - 37*n - 3*n**3 - 11*n**2. Let u(m) = -m**3 + 9*m**2 - 12*m + 16. Let t(j) = 6*h(j) - 17*u(j). Does 15 divide t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039967 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1391.1 + -1391. Let m = -29.1 - -29. Which is the closest to -0.2? (a) 2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:49 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-9 - 17) + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1. Let u = -884 - -885. Let s(t) = 9*t + 8. Determine u*s(n) + 6*f(n).\nAnswer: 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 516252 + 2?\nAnswer: 516254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464841 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1\/5, -564, -4, 8, -2\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1335446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182902 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.5434, -32.\nAnswer: -32, 2.5434, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16855332 and 10712.\nAnswer: 33710664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 1453\/11. Let s = 15.3 - 16. Let z = s + 0.8. What is the biggest value in z, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(2*(0 + sqrt(11) + 5) + -1 + sqrt(539) + 1))**2.\nAnswer: 4950*sqrt(11) + 25300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 34 = -3*z. Suppose d + 3*w = -2*w + 15, 4*w = 5*d - z. Let p(h) = 8*h - 16. What is the units digit of p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*v + 92*v - 108*v**2 + 130*v.\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.1 - 27. Let g = 5.34 + v. What is g rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:50 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 34501 = -i, -4 = -i + 3*i. Let w = -14499 + d. Suppose m + m - w = 0. Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*p - 9 - 2, 27 = 4*p - 3*k. Suppose f = 2*f - p. Let v be 0 + 0\/(-3) - 8\/(-4). Solve -v*c + 1 = -2*q - 3*c, 0 = -3*q - f*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347439.\nAnswer: 3, 179, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-10\/3))**11*f**(3\/5)*f\/f**(-4) assuming f is positive.\nAnswer: f**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 115\/3, 1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Let r be 3 + -1 - (q - 4). Suppose 53 = r*a + 13. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j*(j*(j\/j**1)\/j*j)\/j)*j)**(-3\/40))**(-12\/17)*(((((j\/j**(-1))\/j)\/j*j)\/j)\/(j*j*j**7*j))**(-41\/4) assuming j is positive.\nAnswer: j**(8726\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8817, 8815, 8815, 8817, 8821?\n\"Answer: q**2 - 5*q + 8821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 630.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518 divided by -2.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v - v**2 + 5*v - 2 - 2*v. Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 2*y + 2. Let j be m(0). Suppose j*l - 3*l - 19 = -2*o, 3*o = 4*l + 16. Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 + 376. Let p = j - -123. Is 56 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-3)\/6*-2. Suppose 3*t - 3*k - 2*k = 82, 0 = -v*t + 3*k + 124. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1244 divide 6115504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 2*g + 1. Calculate the least common multiple of f(3) and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 18, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 9*j + 3. Let y be t(-9). Let i = 5 - y. Suppose 5*v - 3*d - 60 = 0, -v - i*d = -6*d + 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u - 13*u - 131*u**2 + 18*u - u**3 + 13*u to the form b + y*u + v*u**3 + d*u**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33205226 - -1?\nAnswer: 33205230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1465482056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10920 + 13859. Solve -h*s - 4 = -2937*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a749 (base 12) in base 13?\nAnswer: 43707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8 + 2. Let v(j) = -4*j**2 + u*j - 2*j - 4*j + 1 + 3*j. Let z be v(1). Which is the nearest to 0? (a) -0.3 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluuuuul. Give prob of sequence uuu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408965 is divided by 469630.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 271. Let f be i(67). Sort 14, -5, f in descending order.\nAnswer: 14, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12510000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 = 7. Let p = h - -2. Calculate the highest common divisor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-2\/3)\/c))**(2\/27)\/(c\/(c**(-2)*c))**26 assuming c is positive.\nAnswer: c**(-4190\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 2*v**2 - 2*v - 1. Let u be n(2). Suppose q = -4*h + u, -h + 4*q + 34 = 8. Does 4 divide -1*(0 - 1)*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*9\/(-225)*(1 + 0). Let t = -1\/14 - -11\/7. What is the closest to t in 2\/3, n, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, -0.06, -3\/10, -1\/4, -3, 44\/5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -6503?\nAnswer: -1950.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(9)\/(sqrt(3)*1) + sqrt(3))**2 - (sqrt(192) - sqrt(3)).\nAnswer: -7*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3585 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -193. Solve -2*i - 3 + j = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3622)\/(-22) - 264\/(-726).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (214\/(-4) + -2)\/(-10) and (127\/32)\/((-9)\/18) + 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26427?\nAnswer: 3, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -24. Let o = w - -27. Calculate the remainder when 45 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**3 - 27*x**2 + 55*x + 48. Let v(d) = -d**3 - 19. Let l(m) = -7*v(m) - w(m). Determine l(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 0.3 (c) 2 (d) 10866 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 144 + 661. What are the prime factors of q?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1202 - -1206. Calculate the least common multiple of 168 and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**3 + 5*i**2 + 5*i + 6. Let b(w) = -3*w**3 + 2*w**2 + 2*w + 3. Determine 5*b(g) - 2*j(g).\nAnswer: -3*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 3. Let o = n - -9. Solve 0 = -3*r - 8 + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 35*c - 53 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4855.\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1850a68 (base 11) to base 4\nAnswer: -23331033322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-58)\/(-8)*-2). Let r = -82 + 81. Is s > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 111*p = -35*p + 1892 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*d + 23 = 2*d, 0 = 2*s - 3*d - 19. Let v be (-16)\/(-24)*3\/s. Solve -n = 3*r + 5, -n - 2 + v = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f**23*f))))**(-50)\/((f**(-33)\/f)\/(f*f**(3\/4)\/f*f)) assuming f is positive.\nAnswer: f**(4743\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/(-3080))\/((-10010)\/847).\nAnswer: -2\/325","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, 4 in ascending order.\nAnswer: -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -721 + 854. What is the highest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) + sqrt(75) + 0 + sqrt(3) - (-3 + sqrt(3)*-1))**2.\nAnswer: 48*sqrt(3) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1. Let b(m) = 6*m**2 - 12. Let i(f) = b(f) + 12*n(f). Let h(c) = -7*c**2. Give i(h(u)).\nAnswer: 294*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 3*b - 3*b + 7*b**3 + 0*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7845623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*i - 80*i - 3670 + 973 = 3330 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3879 (base 16) to base 10.\nAnswer: -14457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491297, -982589, -1473881, -1965173?\nAnswer: -2456465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 25. Which is the closest to 0? (a) -2\/5 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1. Let i(m) = m**2 - m - 1. Let j(f) = f**2 - 13*f + 13. Let c be j(12). Determine c*i(s) + 2*d(s).\nAnswer: s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 8:01 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(32) + 2 - (sqrt(2) + (sqrt(32) + 5)**2)) + (-3*(sqrt(2) + -3)*-4)**2)*2.\nAnswer: -1800*sqrt(2) + 3058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106681, 426907, 960617, 1707811?\n\"Answer: 106742*m**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -47*v + 32*v + 3*v**2 + 0*v**2 - 5 + 23*v. List the prime factors of w(-6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 34. Let p(o) = -2*o**2 - 2*o - 2. Let g(r) = 4*r**2 + 5*r + 5. Give a*g(c) - 10*p(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -100. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 3. Let n = 2 + q. What is the first derivative of -n + 9*h - 27*h - 13 - 13*h wrt h?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 5, y: 1, z: 3}. Give prob of picking 1 t and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10784 divided by 10883\nAnswer: 10784\/10883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 685653307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1837524 divided by -612508.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 32. Let q(u) = -85*u - 52. Let c be q(r). Suppose -11*s + c = -216. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54032\/3 - 18011. Which is greater: r or 6\/275?\nAnswer: 6\/275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1220\/183)\/(8\/6). Solve -3*u = -a - 7, 3*a - v*a - 2*u = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - 3*z**3)*(-28 + 41 - 21).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 10*j - 16. Let w be l(7). What are the prime factors of 36 + 2 - (-15)\/w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 3*z**2 + 3*z - 2677. Give p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.23 not equal to -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + b + 96 - 303 = -248, 0 = -2*b - 2 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 68150 = 5*h, 0 = -2*q + 2*h + 14334 + 12926. What is q rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2067, 16771, 56681, 134403, 262543, 453707?\n\"Answer: 2101*r**3 - 3*r**2 + 6*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 10. Suppose 2*a + 2 = b, b = 5*b - x*a - 5. Let f = b + 0. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -4)*(-1)\/5. Suppose 3*j - 6*j + 3633 = h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(5\/2))**(-6\/7))**28)**23 assuming u is positive.\nAnswer: u**(-1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 7 - -10) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.64536mg to tonnes.\nAnswer: 0.00000007264536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (420\/(-6972))\/((((-90)\/(-4))\/(-3))\/3)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5403*n**3 + 21*n - 2321858.\nAnswer: -16209*n**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 4*c**2 - 25*c - 43. Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -3. Let o be (-1)\/3 + 10\/3. Suppose -o*v = -2*d - b, -2*v + 4*d + 16 = -0*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157688184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(605) - (sqrt(605)*2 + sqrt(605))) + 0 + (sqrt(605) + -2*((sqrt(605) + -1)**2 - sqrt(605)) - (sqrt(605) + 1*sqrt(605))*1) + 2.\nAnswer: -1207 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8 and 73\/224782938.\nAnswer: 899131752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -253, -396, -539, -682, -825?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52557698?\nAnswer: 2, 26278849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 8 = 0. What is the units digit of (-6)\/(d + (-1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73189523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 26*x + 121. Let s be b(-20). Let n(m) = -m + 1. Let d(r) = -3*r. Give s*d(g) - 2*n(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368.73 plus 3?\nAnswer: 6371.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -460744 in 4\/5, -3, 22\/7, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4522)\/35)\/(-2)*5. Let a = 366 - m. Calculate the remainder when a is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 9207 + 3117 = 0. Suppose -4*f + 95 = p, q - 203 = 5*p - 3*f. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-15)*((-9)\/2 + 2). Let k be -5*(72\/15)\/b. What are the prime factors of (-2 - 8\/k)*-249?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*j - 200*j - 11410 = -102*j + 1013 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -275377 equal to -275373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 40. Suppose 0 = k - 4*k - 189. Let v be (-2)\/o + k\/(-28). Solve v*y + 3*h = 6, -6*y + h - 16 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n + 0 - 1\/6*n**4 + 4*n**2 + 0*n**3. What is k(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 614.5865 grams?\nAnswer: 614586500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18395 * -3.84.\nAnswer: 70636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m - 3. Let g(y) = 2*y + 5. What is a(f) - 4*g(f)?\nAnswer: -19*f - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-17 - (-16 - 2) - 3) + -75.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 714 - 714. Solve -2*a + 4*l = -8, 5*l + 8 + s = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3522 is divided by 503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134357.\nAnswer: 29, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**3 - 5*i**2 + 25*i - 5. Let p(n) = -7*n**3 - 6*n**2 + 26*n - 6. Calculate -6*f(k) + 5*p(k).\nAnswer: k**3 - 20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/39 and -41\/754?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 + 2*p - 1. Suppose -9 - 12 = -3*k. Suppose 2*x - k*x = -20. What are the prime factors of c(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d947 (base 14) in base 2?\nAnswer: -10010100010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)*v*v**(-3))\/(v*v\/((v**(2\/3)*v)\/v)*v)**(2\/17) assuming v is positive.\nAnswer: v**(-631\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 46 + 46 + m to the form k + g*m and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + -70. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/1087289 and 39\/3703?\nAnswer: 575175881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1475526 and 3900?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-48)*24\/(-30) + (2952\/(-54) - 5).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -34.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 13*f**3 + 14*f**3 - 28*f**3 to h + z*f + j*f**2 + c*f**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 328 * 0.518\nAnswer: 169.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -806*r. Let q(k) = 21*k. Determine q(p(u)).\nAnswer: -16926*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 24. Let l(j) = -1935 - 6*j + 3*j + j**3 + 6*j**2 + 1919. Let i be l(-3). What is the greatest common factor of h and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 104*g + 71976 = -56*g. What is g rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9373, 9348, 9299, 9214, 9081, 8888?\nAnswer: 8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m = 68*m - 18. Suppose -4*o = -3*u + o + 17, -o - m = -2*u. Suppose 0*x = 3*x + t - 557, -u*x + 3*t + 760 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26695331.1 rounded to the nearest one hundred thousand?\nAnswer: -26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(9\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -53 + 3. Solve 5*w + 2*m - 4*m = 10, -3*w = 2*m + k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11556 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 84063.\nAnswer: 840630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 11733767\nAnswer: -3\/11733767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = h, -3*x - 2*h + 8 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**21)**(-24) assuming o is positive.\nAnswer: o**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 2*v**2. Let u(w) = w**3 + w**2. Let l be 90\/4 - (-8)\/(-16). Let t = -16 + l. What is t*s(p) + 14*u(p)?\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57176?\nAnswer: 2, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63005 - -11052?\nAnswer: -51623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 9. Let h(t) be the second derivative of 0 - 1\/15*t**u + 0*t**2 + 0*t**4 - 1\/3*t**3 - 2*t + 0*t**5. What is the second derivative of h(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (24 - 23) + -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**3*m - 35217*k**3 - 28*k**2*m + 407*k*m wrt m?\nAnswer: 2*k**3 - 28*k**2 + 407*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(31*p + 38 - 38)*(98*p**2 - 61*p**2 + 116*p**2).\nAnswer: 9486*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s + 6. Let l(m) = 2*m**2 - 3*m - 17. Determine -6*l(x) - 17*t(x).\nAnswer: 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38.9, 2, -2, -1\/8, 9\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -16 - 4*i + 17 + 11*i**2 + 1 - 2*i**3 + 3*i**3. List the prime factors of k(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 23052?\nAnswer: 69156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-8))\/((-1036)\/(-592)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1331) + (sqrt(1331) + 0 + sqrt(1331))*5 - (sqrt(1331)*-2 + -5 - sqrt(1331))) + (sqrt(88)\/(-3*sqrt(8)) - (sqrt(99) + 1)))**2.\nAnswer: 1808*sqrt(11)\/3 + 2247380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -9 + 3. Let b be u - 3\/((-3)\/(-2)). Suppose -4 + 0 = -k. Solve -s - 4*d + 9 = b, 3*s + k*d = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-152) + (-222)\/(-57). Suppose -5*s = w + 22, 0*s + 4*s + 29 = 3*w. Sort 0, s, q in ascending order.\nAnswer: s, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 + o**4\/3 + o**3 - o**2 - 18*o. Calculate the remainder when b(4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o. Let w(s) = s**3 + 6*s**2 - 8*s - 13. Let b(q) = w(q) - 3*y(q). Give b(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 684*x**2 - 12 + 33 - 14 + 175*x**2 - 13 to t*x**2 + k + z*x and give t.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.217 + -0.217000592. Round s to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 7*m - 12. Calculate q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1615 and 82195.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.3 - 17. Let l = 0 + -0.04. Let n = l + -3.96. Sort 5, n, c in descending order.\nAnswer: 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -584626 and -0.013 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from fiiiiiiiiiiiliiiii?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5066344275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (6 - (-4 + 1)). Let k be l*(-2 - (-6)\/4). Is 18\/k - (-3)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119232 by -6.\nAnswer: -19872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1619 = -144. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 426, 646, 868, 1092, 1318, 1546?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 8*o**2 - o - 10. Let q be k(-8). Let p(a) = -4*a**3 - 3*a**2 + 4. Let x be p(q). Let i = 143 - x. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*p**3 - 45*p**3 + 84*p**3.\nAnswer: 216*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/4, -1, -5, -27 in increasing order.\nAnswer: -27, -7, -5, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13503310 - 0.03.\nAnswer: -13503310.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 8 + -8 + 11. Put 0.11, o, 3\/7, -1, 0 in ascending order.\nAnswer: -1, 0, 0.11, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 534 = -684. Let c(n) = -n + 20. Give c(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -6\/11, 33, -0.5, -3, 13, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 times 106862?\nAnswer: -21692986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1\/3*h**2 + 13\/3*h + 0 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 148 = 5*f + 2*c, 5*f + 2*c - 154 = 0. Suppose 0 = -14*d + 10*d + f. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-14))\/((-5442)\/(-165074)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1170161705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037224284 to seven dps.\nAnswer: 0.0003722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:48 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 16995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/27)\/d*d)**(-33)*d**(-27)*d*d**(-4\/9)\/d assuming d is positive.\nAnswer: d**(-566\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 55.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*d = -12 - 8, -10 = -n - 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -8*z + 145. Let x = 29 + z. Factor -24*a + x + 3 - 15 - 20*a**2 - 4*a**3 - 4*a.\nAnswer: -4*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/41 + -281\/246. Calculate the common denominator of c and 13\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + o)*(3 - o - 3)*(0*o**2 + 4*o**2 - 2*o**2) + 3*o**4 + 3*o**2 - 3*o**2.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 3*i. Let x = -47 - -8. Let c = x - -37. Let n(m) = -21*m**2 - 16*m. Calculate c*n(b) + 11*a(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 12, -15, -66, -147, -264, -423?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.909444 - 1.91. Round l to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/495*((12 - 23) + 1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 640?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*o + 4*w - 18, -w = -o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8021 - 0.5021. Let m = -3 - -6. Suppose -m = -2*o + o. Put 2, o, v, 1 in ascending order.\nAnswer: v, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 18, 67, 158, 303, 514, 803, 1182?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 11*p + 100. Let t be (-368)\/(-14) - (-14)\/(-49). Is c(t) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*z + 35412, -195*z + 35372 = 4*u - 200*z. What is the greatest common divisor of u and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1995*s**3 - 9*s**2 + 5*s + 1256873?\nAnswer: -5985*s**2 - 18*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/7 bigger than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -k, 1 = -3*l + 3*k - 2. Let x = 2\/39 + 59\/117. What is the smallest value in -0.2, l, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3880 and 738445480?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.1599kg in grams?\nAnswer: 877159.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 14*r + 36765 = 73*r + 334*r for r.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108448935*f**4 + 687*f**2 + 13541 wrt f.\nAnswer: 2602774440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26065 + 0?\nAnswer: 26065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, and 2 w when four letters picked without replacement from dxuxwwudddxdddduud.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 4*u - 64, 32 = 2*l + 5*u. Let t = l - 10. Calculate the remainder when 14 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101211110 (base 3) to base 7.\nAnswer: -366114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + (-1*sqrt(600) - sqrt(600)) + sqrt(600) + sqrt(600) + sqrt(6) - (-3*sqrt(12)\/sqrt(2) + sqrt(6)))\/(6*(sqrt(72)\/sqrt(3))\/sqrt(12)).\nAnswer: 13*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 1 + 1)*(3*p - p - 3*p) + 0*p**2 + 0*p**2 + 2*p**2 + (-2*p - p + 0*p - 4*p + 2*p + p + (4*p + 0*p - 2*p)*(2 + 1 - 5))*(-6*p + p + 4*p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 0 + 0 - (-8)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (-1)\/2*2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**4 - 2. Let s(y) = 18*y**4 + 3*y**3 - 4*y**3 - 3 + y**5 + y**2 - 13*y**4. Let q(b) = -2*s(b) + 3*x(b). Suppose q(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 1451968?\nAnswer: 7259840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82495, 165046, 247615, 330208, 412831, 495490, 578191?\n\"Answer: s**3 + 3*s**2 + 82535*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1860 - -1528. Is -332 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 209\/(10\/15*6\/8). Let t = -31 - -33. Suppose 3*h - t*x = m, x = 4*h - 4*x - 569. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 89590.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 37*q**2 + 117*q + 516. Calculate u(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.117 and -34747.62.\nAnswer: 4065.47154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k + 5. Let n be y(1). Sort n, 1, -6, -1.\nAnswer: -6, n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20637*o + 227004. Calculate l(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 1. Let t(i) = -7*i - 1. Let w(u) = -3*u. Let x(c) = -2*t(c) + 5*w(c). Let y(q) = 3*b(q) - 4*x(q). What is the derivative of y(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843341183.\nAnswer: 97, 8694239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q**(-1))\/(q\/(q\/(q**(2\/5)\/q*q)))**(12\/7)*((q**4)**(9\/8))**(-2\/3) assuming q is positive.\nAnswer: q**(-129\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 2, z: 1, t: 3, m: 1, g: 3}. Give prob of picking 1 g, 1 u, and 2 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. What is the first derivative of 3 - g + p - g - 5 wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.222099 + 1\nAnswer: 2.222099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**3 - 7*x**2 - 11*x - 19. Let s be d(10). Suppose -7*i + 9*i + 5*v - s = 0, 0 = 4*i - 5*v - 14387. Round i to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(-9)*b))*b**0)**24 assuming b is positive.\nAnswer: b**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 2. Let i(y) = -7*y**2 + 16*y - 8. Give i(t) - 4*l(t).\nAnswer: -7*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.36. Let u = 5 + -1. Let s be 1*(4 + (-10)\/u). Which is the nearest to s? (a) z (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let f = -12 - -16. Suppose -2*x + f*x = -4. Is x greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 5*k**2 + k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -76*r - 3. Suppose -5*t = 3*v + 82, v + t = 5 - 31. Let h = 23 + v. What is the units digit of g(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (6 - (-4 + 21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from vvvvvuvvuvuvvvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43044.306606 - -0.5?\nAnswer: 43044.806606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4987539 = -66*r + 2457. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1\/11, -2, 2\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37338?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:59 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((40\/(-12))\/5). Sort x, -6, 0, 3 in increasing order.\nAnswer: -6, x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/9*(-759)\/506. Which is the biggest value? (a) 44 (b) 9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -899\/4 - -235. Find the common denominator of 17\/39 and p.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 8*q - 90 = -0*q + 7*q, -193*j = -197*j - q - 86 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 - 11*a + 11. Let b be g(7). What is the highest common divisor of 53 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 c, and 1 s when four letters picked without replacement from {c: 3, x: 2, s: 5, z: 5, e: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 18. Suppose 3*i = r*i + 3. Which is smaller: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/8 (c) -2\/5 (d) -5 (e) 0.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 151\/4 - (-6)\/(-8). Suppose t + 5*n - x = -2*t, 5*t + 3*n - 67 = 0. Let d be (-1)\/(-3)*1*6. Solve -4*q + t - d = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 1.1, -10, 1\/3, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 216178.131 to the nearest ten.\nAnswer: 216180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 21*i + 15. Determine k(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(136)\/(sqrt(8) + sqrt(32) - sqrt(8)).\nAnswer: sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*o = 6 + 24, -2*y + 20 = -3*o. Suppose -m - y = 4*m. Let h be -1 - m - (0 + -3). Which is the third biggest value? (a) 1\/2 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293706 and 5328.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4*f - 8. Let t be h(6). Let a be (7 + -4)*4\/t. Suppose -2*c + 30 = 2*z, a*c + z = -c + 75. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 + -16a?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 24, -500, -1024?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -182. Let g be 3*(-40)\/r*(-136)\/(-210). Do 4 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((sqrt(65)\/sqrt(5) + 1 - sqrt(13) - sqrt(13)) + (sqrt(91)*2)\/sqrt(7)).\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 7*k - 24. Put k, 0, 10, -2 in increasing order.\nAnswer: -2, 0, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3848344ug to nanograms.\nAnswer: 384.8344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -174 (b) -0.7 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 9216 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 0. Let t = 147 + -1325\/9. Let h = t + -5\/18. Is x bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35820630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(15\/7)*m)\/(m\/(m\/(m**(12\/5)*m)*m*m)) assuming m is positive.\nAnswer: m**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i - 2 = 2*r, -r - 5 = i. Let v(b) be the second derivative of b**5\/20 + 2*b**4\/3 - 3*b**3\/2 + b**2\/2 - b. Let f be v(r). Is f < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 11*o - 261. Solve -9 = 4*j - o*x + 8*x, 4*x - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 52. Let z be j(-18). Calculate the highest common factor of 144 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n - 252 = 45*n. Suppose 0 = -11*s + 30 + n. Solve -2*k = -5*f + 4*f + 4, -3*f - 3*k - s = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79386 - -207435622\/2613. Let m be 141058\/(-3484)*(-4)\/(-33). Let q = w - m. What is the common denominator of q and 46\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 468.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -751?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 24. Suppose 5*l - 10 = -s, 2*l = -5*s - 0*l + 4. Suppose 5*v + 3*x = 3, s = -4*x - 0*x + 4. Is v smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 4*m**6\/15 + 13*m**5\/5 + 10*m**4 + 56*m**3\/3 + 16*m**2 - 975*m. Factor p(n).\nAnswer: 4*(n + 2)**3*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 29*x + 120. Let f be p(9). Sort -10, f, -3, -4 in ascending order.\nAnswer: -10, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1304.722 - -1306. Let x = 0.278 - b. Which is smaller: x or 0.184?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 220138964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/20 - 5*r**4\/4 + 5*r**3\/3 + 6*r. Let z(m) be the second derivative of h(m). List the prime factors of z(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:28 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 + 9. Let t = -115 - -165. Let p be (-3)\/5 + 130\/t. Let o(r) = r**2 - 1. Determine p*w(x) + 18*o(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426\/23 bigger than 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5804052 = 4*j - o + 5804093, 4*o - 100 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*9\/84*(7056\/12)\/14?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 + 1\/4. Let y(b) = 3*b**3 - 16*b**2 + 7*b - 40. Let j(k) = 2*k**3 - 7*k**2 + 3*k - 17. Let p(o) = 7*j(o) - 3*y(o). Determine p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let c(p) = -3*p**2 + 14*p + 18. Let v be c(6). Let f be 27\/3 + (v - 1). What is the nearest to f in s, 0.01, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 0. Suppose u*p - 65 = -0*p. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -733 by -59312.\nAnswer: 733\/59312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 - 1747d7?\nAnswer: -174794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.396839211 to one dp.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*c**3 - 260*c**3 - 35*c**3)*(8 - 7*c - 8)*(3 - 3 + 3) as t*c + x*c**4 + w*c**3 + k*c**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*(a**(-1\/11)*a)\/a*a*a)\/a)\/(a\/a**(-3\/10))*a**(-2\/21)*a**14)**(3\/23) assuming a is positive.\nAnswer: a**(38147\/17710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 - 28413082\/(-369). Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 464*c + 5. Let k(x) = 2*x. Let f(g) = j(g) + 5*k(g). What is the hundreds digit of f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3135 and -107\/15419184.\nAnswer: 77095920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (-1 + sqrt(252)*2)) + sqrt(252) + 0 + 4)*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrqqrrr?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 25. Let x(n) = -7*n**2 + 3*n - 9. Let z(i) = -4*i**2 + 2*i - 5. Let b(t) = -3*x(t) + 5*z(t). Is b(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 344. What are the prime factors of v?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 5)*(-90)\/(-8). Let w = 21 - q. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 >= 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 13. Let u be 274\/18 - 4\/l. Suppose -2*p + 4 = -3*c, -6 - 4 = -2*c - 5*p. Solve c = g + 4*g + u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 611495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let c(o) = -3825*o**2 + 81*o. Let q(k) = -294*k**2 + 6*k. Let r(v) = 4*c(v) - 54*q(v). Give n(r(g)).\nAnswer: -1152*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6997155*k**3 - 3*k**2 + 356151578 wrt k.\nAnswer: -20991465*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458506.\nAnswer: 2, 7, 104179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*n = -2*n - 2, 4*n = -2*j + 12. Suppose -r + 5 = 3*g - 3, g = -3*r + 24. Calculate the remainder when r is divided by 9 + -2 + j + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 + 99 + -48 - (-2 - 18)) + -119?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 1. Calculate the remainder when 325\/195 - (-76)\/12 is divided by q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/6)\/(28186\/(-89532)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + (2 - 4) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*x - 5, -5*x - 1 = -d - 9*x. Let s = -874 + 876. Solve -d + s = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 - 5*u + 5. Let o(f) = f**2 + f - 1. Calculate 20*o(w) + 4*p(w).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52747151.\nAnswer: 31, 1701521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.404 - 2.604. Is d not equal to 0.0277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20.5. Let m = 1.5 + i. Let y = m - 1.0000019. Round y to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 134 = -5*m, -2*t - 182*m + 58 = -3982 - 688 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 64?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -16. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h - 1. Let x(l) = l**3 - l**2 + l - 3. Determine c(a) + x(a).\nAnswer: 2*a**3 - a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299*q**2 + 22*q - 11*q - 30*q + 19*q.\nAnswer: 1299*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(243) + sqrt(3)) - sqrt(252)*3)\/((-6*-1*sqrt(90))\/((sqrt(120)*1)\/sqrt(12))).\nAnswer: -59*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026714535 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q + 18. Let w(a) = -a - a**2 + a + 1. Let x(t) = -4*t**2 + 4. Let s(d) = q*w(d) + x(d). Solve s(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = 2*c - 0*n, -3*n = 3*c + 18. Suppose a - b - 85 = 0, 5*a + 0*b = 3*b + 419. Let t = c + a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 5*y**3\/2 + 24740*y. Let b(r) = 16*r. Let o(g) = -175*g. Let f(t) = -65*b(t) - 6*o(t). What is p(f(h))?\nAnswer: 150*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 3594*c - 8371376.\nAnswer: 2*(c - 3133)*(c + 1336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -197*m + 42. Let i be c(-10). Let y = i - 5602. What is y rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 16, -5915, 4, 3, 0.26, -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h - 8. Let o = 85 + -72. What is the least common multiple of o and (-26)\/(-91) + (-26)\/h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4789 is divided by 973.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + 130*z + 3. Let i(m) = m**2 - 4*m + 14. Let u be i(6). Let f be q(u). Solve 0 = 4*c + d + f*d - 24, -4*c = 5*d - 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 1\/3, 1604, 10, 2 in decreasing order.\nAnswer: 1604, 10, 2, 1\/3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67611375 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -259?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.02265um in nanometers?\nAnswer: 89022.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8*c + 72. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441 * -1926.46.\nAnswer: -849568.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*a**4 + a**3 + 17 + 0*a**3 - a**3 wrt a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1614)\/(-9))\/(((-72)\/(-8))\/162).\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -44019?\nAnswer: -44019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 12*x + 9*x**2 - 9*x**2 + 3*x.\nAnswer: -x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 4843 = -14252. Suppose 9*f - 3*g = 5*f + v, 3*g - 337 = -f. What are the prime factors of f?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-69425.74\nAnswer: 41655.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 184, 2, -1 in increasing order.\nAnswer: -7, -1, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/36 - -3)\/((-92)\/(-235980)*57)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/47, 0.5, 22807 in increasing order.\nAnswer: -2\/47, 0.5, 1, 22807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-748)\/111078*33)\/(((-10)\/27)\/(-2))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 6*s + 21*s - 3*s - 9*s - 2*s.\nAnswer: s + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1120 - 554 - 553 + 15*r)*(r**2 + 3*r**2 - 6*r**2) to c*r**3 + q + s*r + n*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-5 + -4*(3 + sqrt(5))*-5 + -4)**2.\nAnswer: -27601 - 12240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/sqrt(10)*5 + sqrt(40) + sqrt(40) + sqrt(40))\/(sqrt(2)*3*-4))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 15) to base 2\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/a)**(4\/11))**(-33) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098944 rounded to 4 dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**6\/6 - 8*j**5\/5 + 4*j**4 + 4. Factor v(r).\nAnswer: r**3*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n + 1. Let g be h(1). Suppose -9*u = -g*u - 5400000. What is u rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/34116 and -137\/119406.\nAnswer: 238812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 40880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 12*d**2 - 12*d + 2. Let j(l) = 4*l**2 - 1. Let b be j(1). Suppose -q = -b*q + 26. What is the tens digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**3\/3 + 4*a - 1. Suppose 4*d = -6*u + 2*u + 8, -u - 2 = 0. Calculate g(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j = -8*j + 14*j - 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 0. Suppose -s - 4*s + 680 = z. Let q = s - 84. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 7272205*a - 29088740 = 0. What is a?\nAnswer: 4, 1454437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.542 - 26.838. Let n = 29 + f. Let l = -0.88 - n. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*i + 2 + 55*i - 2*i**3 + 9*i + 25*i - 51*i in the form a*i + j*i**2 + w + b*i**3 and give a.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2527 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 - 5*n**4\/12 + n**3\/3 - 5*n**2. What are the prime factors of h(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 90*k + 43 = 2*m, 0 = 3*k + 2*m - 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46853 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 2. Let i be l(1). Is 16 a factor of 346\/i - 30\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 5*o = -29*q - 12, 4*o = 5*q + 26. Sort q, 0, 2, 106 in ascending order.\nAnswer: q, 0, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-15))\/((-4)\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(2 + 6 + 0)*(h - 4*h + h)*(-h - 5*h + 5*h) to the form n*h + m*h**2 + v and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 58530470 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 13.576?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771485762 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2072)\/40 + -11)*-10 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13787, 13981, 14175, 14369?\n\"Answer: 194*v + 13593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 13\/((-273)\/(-330))*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, -6, 2, -19, -247, 5 in increasing order.\nAnswer: -247, -214, -19, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 + 29297*x**3\/2 + 21991*x**2 - 468815*x\/2 + 109875 = 0?\nAnswer: -5, 1\/2, 3, 14650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 2, k: 2, g: 1, h: 4, f: 1}. Give prob of picking 1 k, 1 h, and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 126. Let j = 1 + -1. Do p and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y + 50998 + 540959 = -444203. What are the prime factors of y?\nAnswer: 2, 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, l: 1, t: 2, e: 1, b: 1}. Give prob of sequence tl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1672 and 14981296?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1032854899 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82341*k - 84576*k + 158743*k - 9793*k**5 wrt k.\nAnswer: -195860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -19885 in decreasing order.\nAnswer: -1, -5, -19885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10450 = 2*c - 3842, 5*c + 2*w = -16501. Let y = c - -29752\/9. Calculate the common denominator of 50\/3 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352007.\nAnswer: 352007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(-156) + 38*(-2)\/(-24). Suppose 668 = r*s - 1072. List the prime factors of s.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15080449.86 seconds to weeks.\nAnswer: 24.93460625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 4*s**2 - s + 3. Let w be q(6). Suppose i - 26 = 54. Let o = i + w. Let d(c) = c**2 - 10*c + 5. What is d(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 6:13 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 1. Let k(u) = -6*u - 2. Let q(y) = -6*k(y) + 5*o(y). Let t(a) = 1. Determine q(m) - 6*t(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 3. Let o be c(-2). Let g(k) = -11*k - 3. Let l be g(o). Let f = -23 - l. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281880989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20165063 at most as big as 20165021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -340, -343, -334, -307, -256, -175, -58, 101?\n\"Answer: y**3 - 10*y - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 3*q - 2. Let m be g(2). Let h = m - -4. Suppose -w = 0, -2*p + 5*w + 6 = -4*p. Put h, p, -4 in ascending order.\nAnswer: -4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2576*m**2 + 15424*m - 181. Determine k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**3 - r**2 - 6. What is the second derivative of g(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhyhpyphhvpp. What is prob of sequence py?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 163516796874 and 0.19.\nAnswer: 163516796874.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*r - 28, 6*r + 4*g = r - 36. Let n(q) = -q**2 - 5*q + 3. Calculate the remainder when n(r) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*g**2 + 66*g**2 - 32*g**2 + 20*g**2 - 1.\nAnswer: 151*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 - 65 = -v, -4*l - 280 = -4*v. Let m = v + -18. Let z(g) = 4*g**2 + 0*g**2 + 45*g + g**3 - 5 - m*g. Determine z(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44578, -178298, -401166, -713182, -1114346?\n\"Answer: -44574*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -804, -2893, -6264, -10911, -16828?\n\"Answer: u**3 - 647*u**2 - 155*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -59840 divided by -340\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3368 - -0.0632. Which is the smallest value? (a) -2\/5 (b) 0.5 (c) l (d) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2014568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -64*r**3 - r**2 - r - 4. Let b(d) = -61*d**3 - d**2 - d - 4. Calculate -5*b(p) + 4*u(p).\nAnswer: 49*p**3 + p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13647637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 75*w + 46. Let r be k(2). Suppose 0*z - 1160 = -4*z. Let j = z - r. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 26 = 6. Let g = -5 + y. Suppose -4*w = -4*v - 20, 5*w + 31 = -4*v + 11. Is w at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Put 2, w, -1 in increasing order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3133 - -3135. Suppose 0*g = -g + 6. Let k = 9 - g. Solve 9 - k = -n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*k + 2606*k**2 - 5211*k**2 - 90*k + 2604*k**2.\nAnswer: -k**2 - 187*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13785*s**2 - 8*s + 12. Let d(t) = -617402581*t**2 - 358306*t + 537459. Let f(i) = -4*d(i) + 179153*m(i). Let w(u) = -2*u**2. What is f(w(n))?\nAnswer: -55124*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267782675 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693279 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28528 divided by 14264?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-6) - 8\/2. Let g = -0.03 - 0.27. Which is the nearest to g? (a) 0.5 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -116*h + 0 + h**3 - h**2 + 117*h - 2. Let y be n(2). Solve -y = -u - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536205 is divided by 307239.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 7 (c) 1\/7 (d) -47 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p + 8. Let s(h) = 2*h**2 + h + 7. What is 4*m(k) - 3*s(k)?\nAnswer: -2*k**2 + k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/71, 2, 4, -2, 2\/5, -5, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.38 + -1.28. Let w = 0.1 - g. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 5 + 4 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 6*k + 10*k + 15*k to w + v*k and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 63. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let x be ((-4)\/5)\/((-4)\/10). Calculate the highest common factor of x and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12201824, -24403681, -36605538, -48807395?\n\"Answer: -12201857*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42034 + -20241?\nAnswer: 21243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 3*sqrt(180))**2 + sqrt(5) - -6*(2*sqrt(5))**2) + 4.\nAnswer: sqrt(5) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -690*q**2. Let z(a) = -9696*a + 4854*a - 5*a**2 + 4842*a. Determine z(i(x)).\nAnswer: -2380500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 77*d - 724. Let a be r(-11). Solve 5*n + 3*w = -1, -n - a*w + 9 = -6*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (15 - 2) - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -20\/9, 3\/4, 1\/3?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*a = 27, -3*h + a + 32 = 5*a. What is the first derivative of -1 - 2 - 4*k**h - 1 wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/110 - 1865\/6930 and 19\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259\/(-11) + -7 + 30?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 7988878.\nAnswer: 7988873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*b**4 - 12512*b**3 + 4*b**2 - 13710409*b.\nAnswer: -1620*b**2 - 75072*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 + 7. Let x be d(10). Let y be 380\/560 - 3\/x. Let v(q) = -q - 7. Let k be v(-6). Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 49*l**3 + 3*l**2 - 50*l**3 - 16*l**2. Let j be b(-13). Suppose 31 = a + 2*y, 4*y + 15 - 3 = j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-430)\/(-11))\/5 - 4\/(-22). Let w be 462\/h + 4\/16. Let y = 181 - w. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - k = 48, -5*z + 5*k - 46 = -4*z. Let w be ((-12)\/(-2))\/((z\/(-4))\/13). Suppose 0 = 4*y - 12 - 4. Solve y*h = w + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1121 - 1117 - (12 + (4 - (1 - (-5 - -3)))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moootmmmtmoo. What is prob of picking 1 t and 1 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16136, 15830, 15424, 14918?\nAnswer: 14312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 294 - 307.6. Let g = -8.6 - x. Let m be (-4)\/(-14) - 57\/(-21). Which is the second smallest value? (a) 0.3 (b) g (c) m (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = 4*o, g = o + o - 5. Let l(r) = -r**2 - 4*r - 2. Give l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, i: 5}. Give prob of picking 2 i.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26\/((2340\/(-117))\/(-80))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 22*b - 18*b = -40, 5*b + 50 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b - 25786 + 25585 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 12*k - 4. Let j(b) = -325*b + 110. Let f(c) = -4*j(c) - 110*l(c). Is 20 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 210. Suppose 394 = -25*q - 631. Calculate r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4336, -8676, -13016, -17356, -21696?\nAnswer: -26036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, 0.5, 0.06, 3, -718?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 154. Let t be (-5)\/((-10)\/x)*-1. Calculate the greatest common factor of 805 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y - 0. Suppose -2*s + 0*s + 29 = -5*h, y*s + 17 = -5*h. Suppose a - 3 = -s. Solve z + 0 = -a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-546110)\/(-22)*(-14)\/(-175). Let o = j + -1986. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (4 + 4 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 17. Let h be -7 + 6 - (-16)\/j. Which is the nearest to 0? (a) 0.1 (b) h (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3\/4 - 21*k**2 - 87*k\/4 = 0?\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + u + 3*g + 105, -u - 2*u = -g - 42 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2471 - 2473. What is the nearest to 10 in 0.02, f, -2\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 4*b**5 + 5*b**5 + (3*b**5 - 6*b**5 + 2*b**5)*(-1 - 4 + 6) - 3*b**5 + 8*b**5 + 2*b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120601533 (base 7) to base 2\nAnswer: 11100101010010011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 51*z - 42. Calculate the remainder when k(3) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**2 + 7*c - 7*c**2 - 4*c**2 + 2. Let t be b(-7). Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l. Let i(d) = -7*d**2. Let p be (-10)\/(-30) + 26\/(-6) + 8. Let n(y) = 20*y**2. Let s(r) = p*n(r) + 11*i(r). Determine s(b(g)).\nAnswer: 507*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 266245658 a multiple of 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7 - 3*l + 13 + 5*l + l**2 - 13. What is k(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-4 + -3 + 6) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -63. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/2 - (-3)\/6. Let h(a) = 84*a - 21. Let i be h(x). Suppose -5*r + i = 148. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**4\/24 + w**3\/6 + 35*w**2. Suppose p = 5*p - 12. Let k be p\/3 + (-7)\/1. Give s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, 87, 3, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1da + 3?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77 and 0.2306.\nAnswer: 17.7562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {d: 1, v: 1, x: 6, q: 1, e: 11}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.161205 millimeters in nanometers?\nAnswer: 7161205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 1. Let g(r) = 4*r**3 + 28*r**2 + 384*r - 1164. Let l(i) = g(i) + 12*u(i). Factor l(f).\nAnswer: 4*(f - 2)*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -28 (b) -0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2) - (-6 + -4). Solve 5*l = 9*l + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:55 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:13 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*r - 12 = 0, -15*y + 11*y - 5*r - 33 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59187 and 1098393.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1236, -1258, -1280, -1302, -1324?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/6 - 5*w**3\/6 + w**2 - 4*w. Let u(r) be the first derivative of 5*r**2\/2 + 5*r + 15. Let s be u(-2). Give v(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226*k = -501 + 13987 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-574)\/236 - (4 + -6). Let l = -4277\/1298 + t. What is the common denominator of (-14)\/35 - 456\/10 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241711 rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4*14\/((-1120)\/(-780))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(-1)\/(r**(-14))**(3\/23))**(3\/11) assuming r is positive.\nAnswer: r**(492\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 3. What is the closest to i in -4, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + (-344)\/(-28). What is the derivative of 11*j**2 + 2 - g*j**2 + 3 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/60*(-4)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -99*x**4\/4 + 250*x**3\/3 + 204. Find the third derivative of s(r) wrt r.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Let x be -4*r\/(4\/3). Is 13 a factor of (17\/2)\/(3\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-95 - (-74 - 12)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1611, -12858, -43361, -102744, -200631?\nAnswer: -346646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**3*n**2 + 1766214*j**3*n - 106*j**2*n**2 - 6*j*n**2 + 3*n**2 wrt n.\nAnswer: -26*j**3 - 212*j**2 - 12*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -220. Differentiate 312*z**4 - 622*z**g + 311*z**4 - 57 + 18*z**3 with respect to z.\nAnswer: 4*z**3 + 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 8 + 1)*(-30*w - 116 + 61 + 51) + 0*w - 2*w + 3*w in the form z + u*w and give u.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 626*d**2 - 3533*d - 1327. Give g(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:32 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + (-11 + 11 - -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + 2*j**2 + j - 1. List the prime factors of l(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -24\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 26. Let l be (-10)\/(-3) - 6\/p. Find the second derivative of -22*a**5 - l*a + 14*a**5 + a wrt a.\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*l = 830*l + 2*r + 22, -l + 6 = -2*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 66*y**2 - y - 3. Let n(k) = -2*k**2 + k - 1. Give 3*n(r) - v(r).\nAnswer: -72*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8929 - -1.1649. Which is the nearest to -0.2? (a) -2\/15 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 5467*s + 5465*s + 20 = -51, 4*o + 37 = -5*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11836393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3 = 2*a, -5*x - 5*a - 25 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -401?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 + 30264*h**2 + 35388900*h + 11328660000 = 0.\nAnswer: -6216, -675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -107635.0212 rounded to the nearest ten?\nAnswer: -107640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-1 + (sqrt(275)*-1)**2 - sqrt(275))*-2*-5.\nAnswer: -200*sqrt(11) + 10963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12672048?\nAnswer: 2, 3, 227, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*v = -12, 4*f + 7*v = 4*v - 65. Let r = 8 + f. What is the units digit of (r\/(-6))\/(-1)*-18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j + 1952 = 31*j - 2044 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 1116 = 4*d. Let q = d + 394. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 24352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:19 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 11*k - 318. Suppose 2*b = -2*h + 6*b + k, 5*b - 104 = -3*h. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4 - 72*q**3 - q**2 - 713 wrt q.\nAnswer: -120*q - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 17 = 137. Let y = 16 - 17. What is the tens digit of y\/(((-11)\/t)\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -161760, -161685, -161592, -161475, -161328, -161145, -160920?\n\"Answer: p**3 + 3*p**2 + 59*p - 161823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 447, 671?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, -5, 1700.\nAnswer: -5, 0, 1, 2, 1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 6*v**3 - v + 7*v**3 - v**2 + 0*v**2. Let g(z) = 5*z**3 - z**2 - z - 2. Let t(p) = 4*b(p) - g(p). What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0902274mm in kilometers?\nAnswer: 0.0000000902274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289 equal to 3289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58591 rounded to two dps?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**7\/525 - s**6\/300 - 18*s**2. Factor n(r).\nAnswer: 2*r**3*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*b + 10. Let v be (-24)\/b + 18\/(-45). Solve v - 3 = 4*h - 3*n, -3*h - 5*n = 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 11*z - 3384. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 98, 234, 414, 632, 882, 1158, 1454?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*o + 0*o + 11 = 0, -4*o + 18 = -f. Let v = -23.2 - -22.9. Let d be (1\/(-3))\/(2\/3). Which is the closest to f? (a) -3 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.407 millimeters in nanometers?\nAnswer: 305407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2416.985l?\nAnswer: 2416985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 1855. Let b = 1795.847 + p. Let m = b + 1.1. What is m rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 313270\/(-14440) + (-8)\/(-2). Let o = 20\/361 - q. Find the common denominator of o and 111\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22429997*o**3 - 175*o**2 - 882*o wrt o.\nAnswer: -134579982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6215 (b) -0.1 (c) -0.5 (d) -1\/5 (e) -3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m**2 - 2*m)*(3*m - 3*m - m**2) + 3*m**4 - 4*m**4 + 2*m**4 + (0*m - 4*m + 6*m)*(-4*m**3 - 2*m**3 + 4*m**3).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 1 + 1 + (-m - 1 + 1)*(3 - 3 - 2) + 15*m + 3*m - 3*m + (2 - 1 - 3)*(149*m - 276*m + 151*m) to s + q*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250538655*m*v**2 + 19683*m*v - m - 115*v + 2 wrt v.\nAnswer: 501077310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 182\/(-65)*(-15)\/4*2. Solve -16*q**3 - 8*q - 9*q**2 - 16*q**2 + j*q**3 + 38*q = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12644.\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 + 16*r**3 + 16*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417481183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654864 is divided by 163716.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35139 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d + 20. Suppose 1 = 3*l - 20. Let q = d - l. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2448 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 2*n - 7. Let p be t(3). Suppose 0 = p*g - 57 - 33. What is the smallest common multiple of g and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 1.717?\nAnswer: -61.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/6 + 895*d**4\/6 - 595*d**3 + 2675*d**2\/3 - 3565*d\/6 + 297\/2 = 0 for d.\nAnswer: 1, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 21*x**2 - 31*x - 32. What is k(19)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29951019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21245083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + (-3)\/(-14). Let d = 25950 - 25942. Which is the biggest value? (a) -5 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*r**(-1\/2))\/(r**(-7)\/(r\/(r**(-3\/4)*r)*r*r))*((r**(2\/5))**(-46))**3 assuming r is positive.\nAnswer: r**(-931\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaefaeaeaa. What is prob of sequence fee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250465 - 6?\nAnswer: -250504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*t - 36, -t + 39 = 4*i - 0*t. Solve -i*h + 8*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2079, -7284, -15573, -26946, -41403?\nAnswer: -58944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 535.38 (b) -4 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 296926.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*v - 67, 3*v - f = 2*v + 15. Suppose -v*j + 16*j = 4. What is the lowest common multiple of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = b - 3*z + z, 61 = -2*b + 5*z. Let u = 31 + b. What is the third derivative of 4*h**3 + 31*h**2 + 17*h**3 - 3*h**u + h**3 wrt h?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40499133, -40499131, -40499129, -40499127, -40499125, -40499123?\n\"Answer: 2*i - 40499135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2847, 5694, 8539, 11382, 14223, 17062?\n\"Answer: -r**2 + 2850*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4750798ug in nanograms?\nAnswer: 475.0798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -5*v, 3*u + 2*v - 30 = 7*u. Suppose -60 = -4*x - 2*a, x + 2*a = -2*a + 22. What is the remainder when (-2)\/u - 1140\/(-28) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4444 + 9390. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**3 + 289*f**2 + 777*f - 3. Calculate z(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 - -1597\/12. Let g(s) be the second derivative of 0*s**2 - s + 0 + 1\/3*s**3 - b*s**4. What is the second derivative of g(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 990, 0, 2\/23, -8, -0.3 in descending order.\nAnswer: 990, 2\/23, 0, -0.3, -4\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**8\/13440 - g**7\/3360 + g**6\/80 + g**5\/60 + 4*g**2. Let z(i) be the third derivative of f(i). Factor z(b).\nAnswer: -3*(b - 2)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28790 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3567420801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(600)\/sqrt(10))\/(sqrt(12) + (sqrt(12) + -5*sqrt(12))*6).\nAnswer: -4*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10.6687 times -0.025\nAnswer: -0.2667175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*v**3 + 4*f**3*v + f**3 + 10*f**2 + 2*f*v**3 - 1129*f*v wrt f?\nAnswer: -12*f*v**3 + 24*f*v + 6*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25170 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 4*y - 3. Let j be i(4). Let t(n) = -n - 1. Let f be t(j). Suppose -2*v = v + f*m - 5, -3*v - 5 = 4*m. Is v >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - c - 3*c + (-1 + 4 - 2)*(4*c - c - 5*c) + 3*c + 4*c - 5*c - c - c + c)*(3 + c - 2*c - 5) as u + g*c**2 + h*c and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 1 - 1734*j + 1 + 1735*j + (-j + 0 + 0)*(4 - 4 - j) to the form a*j**2 + c + y*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 7*m**2 - 680*m + 6507. Determine h(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let u be 6*(10\/25)\/((-8)\/(-10)). Let n(k) be the third derivative of 0*k + 0*k**4 + u*k**2 + 0 - 1\/30*k**5 + 0*k**3. Calculate v(n(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 150*a**2 - 2847*a + 5070.\nAnswer: 3*(a - 13)*(a - 2)*(a + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 28508032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61355 (base 7) in base 6?\nAnswer: 153052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 2*n - 2*n - 5*n. Let d(v) be the first derivative of -11*v**2\/2 - 13. Determine m(d(s)).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.9 - -0.9. Let i = -13.28 - c. Let s = i - -0.28000034. Round s to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 4, e: 4, s: 3}. What is prob of sequence rsx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7960 at least as big as 8049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 683625 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119.1 + 38.9. Let t = 157.9 - f. Put t, -2, 4, 2\/13 in descending order.\nAnswer: 4, 2\/13, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 8. Let c be k(-4). Let g = 19 + c. What is the remainder when 11 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -794*x**2. Let z(h) be the second derivative of -h**4\/12 - h + 219. Calculate z(m(g)).\nAnswer: -630436*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1319 + 1318.737. Which is greater: z or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293193?\nAnswer: 11, 117563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -557, -1291, -2327, -3665, -5305, -7247?\nAnswer: -9491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -23, 0.06, 2, -1.5, -2\/15, -1.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = -14*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*b - 226*b + 107*b - 21 + 5*b**2 to the form n*b + i + f*b**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**6\/2 + 106*u**3\/3 - 172. Find the third derivative of j(o) wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 271 - 482 + 6*y + 260. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - (0 + -2 + -4 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 21*a - 82. Let t be u(4). Solve -t*x - 5*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(26)\/(5*sqrt(2)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 73029934 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1491 and 147?\nAnswer: 10437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 231*a + 1256. What is the tens digit of j(37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 20*x + 68. Let h be (81\/12)\/(3*-1). Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n**3 - 5222*n**2 - 61464*n.\nAnswer: 2*n*(n - 156)*(18*n + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/((-16)\/4) - (10 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067613 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(2057) - (sqrt(2057) + 1)) - (-5 + ((sqrt(119)\/sqrt(7)*4 - sqrt(17)) + sqrt(17))*-3))**2 + 1.\nAnswer: 168*sqrt(17) + 2498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-530)\/(-110) - (-34)\/187) + 39.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 4*o + 2946*o**2 - 2947*o**2 + 39 to the form n*o**2 + m + d*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67403890 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 10 - 6 - 85*j + 0 - 14*j.\nAnswer: -99*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 2. Suppose -2 - 8 = -y*n. Solve -19 = -5*r + g, -2*r = -n*r - g + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 16*g**2 + 35*g + 18. What is the lowest common multiple of 48 and u(-18)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74 - 33 - 2617*d**3 + 2618*d**3 + (-d - 4*d - d)*(-2*d**2 + 2*d - 2*d) + d**3 + 0 + 0.\nAnswer: 14*d**3 - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84888 + 0?\nAnswer: -84888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1218 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sspssspsssss.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -4*v + 5*n, n - 149 = -4*v + 99. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461926*k**2 - 35321*k - 2 wrt k.\nAnswer: -923852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**2 + 40*y. Let z(l) = -43*l + 32*l + 13*l. Determine t(z(o)).\nAnswer: -28*o**2 + 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - 3. Let y be c(13). Suppose y - 40 = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -1499, -2261, -3005, -3725, -4415?\nAnswer: -5069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/35123 and 53\/24794.\nAnswer: 79167242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c*(c*c**(-8))\/c))\/c*c*c))**(-1\/32)\/(((c\/(c*c**(-6)*c))\/c)\/(c**(1\/7)*c)) assuming c is positive.\nAnswer: c**(-591\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 17*l - 20*l + 146, 2*l - 5097*p - 96 = -5101*p for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7500, -15914, -25238, -35472?\nAnswer: -46616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1327385*d. Let a(c) = 456*c**2. Calculate f(a(w)).\nAnswer: -605287560*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -5 - (2224\/(-4) + -3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648215 greater than or equal to 648206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 53450*a\/7 + 175261292\/7.\nAnswer: 2*(a + 3827)*(a + 22898)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 144 + 2*y - 51 - 6*y**2 to m*y**2 + d*y + a and give a.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 145 = -6*m + m, 5*m - 175 = -5*b. Let y = 299 + -171. Calculate the highest common factor of b and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -5*q. Suppose 3*n = -q*s - s + 197, -2*s - 4*n = -106. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4, -5*z + 4*h + 24 = -0*h. Suppose -7*f + z*f = 0. Let l(n) be the first derivative of n**4\/4 - n**3\/3 + 7*n + 89. Calculate l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - h = -12, -3*n - 78 + 86 = -5*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/24 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-33)*3\/2. Let i(j) be the third derivative of -j**4\/12 + 2*j**2. Let n be i(h). Solve a + n*a - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (156\/16)\/((-39)\/(-832)). Calculate the greatest common divisor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-12) - 2\/(-3). Let b be 11 + 2*(u - -1). Suppose 0 = b*d - 0 - 42. Solve -d = h + 2*v - 0*v, 5*h + v = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/28 + -23\/28. Suppose 8*p = 9 + 31. Let -6\/7*w**3 + 0 - 1\/7*w**p - q*w - 4\/7*w**2 - 4\/7*w**4 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + 0*a + (-1 - 2 - 3)*(a + a - 3*a))*(13 + 10 - 1) in the form x*a + p and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 20. Suppose -a + 4*z = p, -2*a + a - 2*z + 19 = 0. Are a and 11 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 6*q**4 + 51*q**3 - 102*q**2 - 48*q + 96 = 0. What is q?\nAnswer: -4, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 5 in decreasing order.\nAnswer: 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -96?\nAnswer: -113\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 23*k**2 - 14*k - 20. Let g be w(-12). Solve 6*y - g*y = p - 5, -2*p + 10 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/11502077 and 41\/11502077.\nAnswer: 11502077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2103732 and 17\/3171?\nAnswer: 14726124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 104270928*b - 1359053303247648.\nAnswer: -2*(b - 26067732)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.23310617 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 127958 from -434289829.\nAnswer: -434417787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**3*s + 69*r**3 - 10*r**2*s + 8*r**2 - 1646876*r*s wrt r.\nAnswer: -54*r*s + 414*r - 20*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746578999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**4 + 11571*t**3 + 18 + 11 - 11570*t**3 in the form k*t**3 + x*t**2 + b*t**4 + f*t + a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let o = 7 - 5. Let b(p) = 2*p**o + 5*p**3 + 3 + 0*p**2 - 4 - 4*p - 3*p**3. Suppose 5*r - 22 + 17 = 0. Give r*b(q) + 4*a(q).\nAnswer: 2*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141350 + 134?\nAnswer: -141212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {d: 2, m: 1, y: 1, v: 4, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127478738 + -0.3.\nAnswer: -127478738.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -267, 2\/11, 0, -0.5 in ascending order.\nAnswer: -267, -4, -0.5, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2131232, 8524931, 19181096, 34099727, 53280824, 76724387, 104430416?\n\"Answer: 2131233*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4978687 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.288 - -2666.288. Let w = h + -2661.01091. Let y = w - -0.01. Round y to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 21987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(190) - sqrt(190)*-2) - sqrt(190))*-1)\/(sqrt(1000)*-2*-2).\nAnswer: -11*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3694.\nAnswer: 2\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/4 - 365*b**4\/2 + 733*b**3 - 734*b**2.\nAnswer: -b**2*(b - 2)**2*(b + 734)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 2. Let l be p(-2). Suppose -l*f - 15 = 5*x, x + x + 6 = 2*f. Solve a + 1 = -2*g - 4*a, g - a - 3 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 12. Let f be q(8). Is f*1*2065\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 110*n**2 + 2275*n.\nAnswer: -5*n*(n - 35)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15 + 64\/(-6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + r = -58, -3*r - 66 = 26*y - 29*y. Let c(m) = -11*m + 169. What is c(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*i + 15*i + 23*i)*(1 - 1 - i)*(-1 - 3 + 0).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -116, 554, 1600, 3016, 4796?\nAnswer: 6934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2500\/(12225\/12228 - 1). What is t rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 86039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.75, 4, 7\/6, 2\/9, -1\/5571 in increasing order.\nAnswer: -9.75, -1\/5571, 2\/9, 7\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*v - 25. Find the common denominator of (-5)\/(-7)*v\/4 and -83\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 3*i + 2. Let k(t) = -7*t**2 + 7*t + 5. Let s(w) = 2*k(w) - 5*x(w). Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6647311183?\nAnswer: 29, 31, 37, 337, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1*sqrt(63)*-2)\/((sqrt(27) + sqrt(27)*1)\/sqrt(3)) + 6*-1*(sqrt(7)*-1*6 + sqrt(7))))**2.\nAnswer: 5887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 443*d**2 + 4*d - 6. Let q(c) = -444*c**2 - 6*c + 5. Let m(b) = -3*g(b) - 4*q(b). Find the second derivative of m(p) wrt p.\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -2. Suppose 0 = h - 5*m - 16 - 8, 4*m = -l. Suppose 124 = 2*d + h*b - 2*b, 5*b + 5 = 0. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81061723.\nAnswer: 81061723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l + 8*l - 5*l + (63 - 63 + 34*l)*(-2 + 2 - 1) - 3*l + 0*l - 3*l.\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) - 2*sqrt(224)*2)\/(-3*(sqrt(8) - 5*(sqrt(8) + 2*sqrt(8)))).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-20)*d\/(d*(d**14\/d)\/d))\/(d**(1\/3)*d\/(d*d*d\/(d\/(d*d\/(d*d\/d**(-2\/63))*d)*d*d*d*d))) assuming d is positive.\nAnswer: d**(418\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 32. Let g be z(-8). Suppose -l + 87 = 6*t - 2*t, g = 2*t + l - 43. Suppose 0 = -p + 8*p - 595. Calculate the remainder when p is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 4*c + 22. Let h = 47 - 40. Let a be i(h). Calculate the highest common factor of a and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/263741107 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/7 - (-16)\/(-56). List the prime factors of q - (0 - (-2 - -16)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/135 - s**5\/18 - 4*s**4\/27 - 4*s**3\/27 - 3*s. Let g(a) = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 267*p**2 + 5*p + 10. Let z(l) = -7*l**2 - 69*l + 8. Let x be z(-10). Does 89 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 13. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, -15, -12, 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i = -123127 + 34346. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-2)*(-3)\/(-9)*-914.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140248732.\nAnswer: 2, 13, 1367, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 - 50613582*c\/13 - 50613580\/13.\nAnswer: -2*(c + 1)*(c + 25306790)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-2)\/sqrt(12)*-6)\/((2*sqrt(132))\/sqrt(12) + (sqrt(66)*2)\/sqrt(6)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4932856 and 49\/136.\nAnswer: 4932856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2242211115 - -5.\nAnswer: 2242211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 119180, 119175, 119170?\n\"Answer: -5*h + 119185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) + 3*sqrt(27)\/sqrt(3)) + 5.\nAnswer: sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2)\/1 + 2. Let g be 1\/(-2 + 2 + 1). What is the second smallest value in g, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1101135331?\nAnswer: 1101135334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (290347*g + 0 - 300390*g + 0)*(-2 + 1 + 0).\nAnswer: 10043*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7837 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.341 - -33.3. Let k = 73.841 + l. What is k rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14883 - 34314?\nAnswer: -19431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 - 172 - 167 - 3*b - 177 + 797.\nAnswer: -3*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1069571, 4278284, 9626139, 17113136?\n\"Answer: 1069571*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14469 = -5296*g + 9967 + 172152 + 128926 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 16}. Give prob of picking 2 w.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) - 561\/130. Let c = 265\/156 + u. What is the common denominator of (-22)\/(-209) + (-3994)\/760 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/11))\/j**2*j*j**9*j**(-5) assuming j is positive.\nAnswer: j**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*i - 3*i. What is the closest to i in -0.4, 5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 300 = -3*a. Let u = -36 + a. What is the greatest common factor of u and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 228082*j**2 + 684253*j + 456170.\nAnswer: -(j - 228085)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6)*(-2*b + 3*b - 4*b) - 15*b + 12*b + 60*b.\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2126842266 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3467343447 to the nearest integer?\nAnswer: 58884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -4 + (-1 - -3). Suppose -18 = c*d - 30. Calculate the remainder when 14 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200 or -2837?\nAnswer: -2837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3753, 7572, 11391, 15210?\n\"Answer: 3819*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 2*sqrt(52)*-2)\/(-3*sqrt(144)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/2 - 95*h - 900.\nAnswer: -5*(h + 18)*(h + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -18.82, 3\/35, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:45 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 58. What is the tens digit of t(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 19*s - 22. Let z(o) = 2*o**2 - 18*o - 21. Let c(x) = -4*u(x) + 3*z(x). Find the first derivative of c(t) wrt t.\nAnswer: 4*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17488 and 830680?\nAnswer: 1661360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, j: 2, n: 1, o: 1, f: 1}. What is prob of sequence jn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15 - (-11)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/88989 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -197 + 183 + (28 - 4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -5*r - 3 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = -45. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + -4?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 704420143 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.6213 times 3?\nAnswer: -394.8639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - v = 386, 2*h - 79 = -2*v + 165. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/39)\/o)\/o*o**3*o*(o*o*o**(2\/7)\/o)\/(o\/o**(-3\/2)) assuming o is positive.\nAnswer: o**(989\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m. Let z(c) = -88*c + 219*c - 85*c. Calculate j(z(x)).\nAnswer: -460*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3 + 3*g**2 + 2*g**2 - 9*g + 25 + 2. Let x be i(6). Suppose 18*b - x = 14*b. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.24, 997 in decreasing order.\nAnswer: 997, 6, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2. Let g(m) be the third derivative of -211*m**5\/60 - m**2 + 574*m. Determine x(g(y)).\nAnswer: -178084*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 61 - 107 = 0. Let s be (w\/(-5))\/((-20)\/75). Suppose 218*r - 221*r + s = 0. Solve r*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -755, -739, -723?\n\"Answer: 16*r - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03172 - 58.75828. Let p = -57 - k. What is p rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098858790 rounded to the nearest one hundred thousand?\nAnswer: -1098900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2989 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -920*a*j*k**3 + 3*a*j*k - 2*a*k**3 - 4*a*k - 3*a - 6*j*k - 5*k**3 + 2 wrt k.\nAnswer: -5520*a*j*k - 12*a*k - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238356 by -79452.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2133*z - 51232. Determine r(24).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 + 174369*b**3 + 2533625154*b**2 - 2534148276*b - 5067599064 = 0. What is b?\nAnswer: -29062, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 10 = 3*x, 0 = -t + 4*x + 8 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**2 + 2\/3*v**3 - 1\/6*v**4 - 1\/20*v**5 - 2*v + 0. Calculate b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 15 = 0, -964*y = 3*j - 960*y + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 10, -16, -76, -182?\n\"Answer: -2*t**3 + t**2 + 7*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5*(sqrt(76)*2 + -4 - sqrt(76)))*-4*-3)**2.\nAnswer: -48960*sqrt(19) + 315216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 9*s - 10. Let g be o(-10). Suppose 2*i = -g*i + 36. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 7480 = -74*o + 84*o + 78*o for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0028847 and 5314.405?\nAnswer: 5314.4078847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and 45?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2856*b + 2861*b = -0*m - 46, 0 = 3*b + 6 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/2*(-41)\/(-2911). Is 0 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 60 = -0*u. Suppose 6*c + 156 = u*c. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8 + (-2)\/4. Is 1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 156*q**2 + 672*q + 5120 = 0. What is q?\nAnswer: -160, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.66622 nanometers to micrometers.\nAnswer: 0.04066622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**6\/o)*o)**(-1\/7)\/((o*((o**(1\/47)\/o*o)\/o)\/o)\/(o*o**(-36))))**(-32) assuming o is positive.\nAnswer: o**(355168\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40 from -943658553.\nAnswer: -943658593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/125 or 1?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*o + 1 = 11, -3*s - 10 = 2*o. Let h = 2 - s. Suppose 5*u - h*u = 0. Solve u*v = 5*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 897 and 83697.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/19 - 105156*d**2\/19 + 946242*d\/19.\nAnswer: 2*d*(d - 52569)*(d - 9)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z + 4. Give k(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 22 = 4*v, -5*l - 3*v = 16 - 43. Let w = l + -4. Solve -w*f = 3*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43587 is divided by 374.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -72 in descending order.\nAnswer: 0, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 11*x - 9*x + 8, 5*x = -4*h - 20. Let b be 53899 - 16\/(-24)*(-6)\/x. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 14. Let x be p(-8). Suppose 4*j = -2*f + 222, 153 = 5*j - 2*j - 3*f. Let v = j + -50. Solve -r - 5*i + 14 = v, 4*r + x*i = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.0766 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzr when three letters picked without replacement from {r: 1, w: 2, b: 5, z: 1, d: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5552\/28 - (-4)\/(-14). Let g = 993\/5 - a. What is the third smallest value in -4\/3, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(275) - -4*sqrt(275)*-1) + sqrt(275))**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -485, -1662, -3955, -7736, -13377, -21250, -31727?\nAnswer: -45180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.12 + -2.9. Let n = 0.08 - g. Let r = n + 0.13999942. Round r to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4152\/568645 - -2\/2321. Let u = i - 72\/245. Let p = 11\/63 + u. Put 0.4, 2\/3, p in decreasing order.\nAnswer: 2\/3, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89260 divided by -4\nAnswer: -22315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-14))\/(14\/49). Let r be x\/(-6)*6 + 527. Let b = -301 + r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9948703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**2*n)\/n)\/(n*n**(6\/7)*n))**(-23))**31)**(-4\/11) assuming n is positive.\nAnswer: n**(2852\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -16\/146941?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - -6.16. Let d = -5.99999992 + r. Round d to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 109491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 304 = 307. Calculate the remainder when 279 is divided by (-1)\/f + 3640\/78.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -774, -777, -780, -783?\n\"Answer: -3*s - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 7\/(-5). Let x(j) = -j**3 + j. Let z be x(h). Suppose i - 8 - 2 = z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -27, -126, -700, 3 in decreasing order.\nAnswer: 5, 3, -27, -126, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f. Let j(i) = -12. Let u(m) = -m**2 - 62. Let o(v) = 15*j(v) - 3*u(v). Determine z(o(s)).\nAnswer: -30*s**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806695969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + 6.21. Let d = u + -0.01. Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-35)\/10)*16\/12. Let c(i) be the first derivative of i**4\/4 - i**3\/3 - i**2 - 3*i + 3. Let h be c(b). Put h, 1, -5, -8 in increasing order.\nAnswer: -8, -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2*1\/(-6 + 4) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10861064 + -3.06.\nAnswer: -10861067.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - z + 0*z = 24, -4*h = 5*z + 43. Let i = 11 + h. Is 16 a factor of ((-165)\/10)\/((-2)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1240 and (18 - 15) + (-2795)\/1000?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28709334 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1727257 rounded to 4 dps?\nAnswer: -0.1727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -28006057 < -28006057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -109, -412, -909, -1594, -2461, -3504, -4717?\n\"Answer: b**3 - 103*b**2 - b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*t**4 - 1637*t**3\/4 + 11051*t**2\/2 - 50907*t\/4 + 5805\/2 = 0. Calculate t.\nAnswer: -18, 43\/168, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.06128892881.\nAnswer: -3.06128892881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.0625?\nAnswer: -0.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let o(i) = -119*i + 1727. Determine o(a(m)).\nAnswer: 238*m + 1727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13394 (base 13) to base 7.\nAnswer: 206213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-25)\/(-10))\/(-5). Let w be (1 - -1)\/(k\/(-3)). Let c(f) = 12*f**2 - 8*f - 2. Does 15 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 + -0.1. Let k = 20.5 - 20.1. Let v = 39\/7 + -41\/7. What is the nearest to v in k, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 42395?\nAnswer: 42393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*q**3 + 209337*q**2 - 306547911*q?\nAnswer: 1794*q + 418674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(10))\/sqrt(2).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1387245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 36. What is b(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3542 and 3773242.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62336192 and -5?\nAnswer: -311680960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 11:11 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1258 + -1261. What is the closest to 57 in -5, -2\/13, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42)\/((-19)\/57)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 698059442 to the power of 1\/2, to the nearest integer?\nAnswer: 26421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:04 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 282. Let h(l) = -2*l. Calculate u(h(f)).\nAnswer: 14*f + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6786.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-12) - (1 - (0 - 0)). Suppose -f*o + 5 = -10. Let b(g) = -g**2 + 5*g - 2. Calculate b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1030001?\nAnswer: -1023323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 110\/(-25) + (7 - 657\/90) and 10\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33668 - -76259\/2. Let y = -4210 + u. Let q = y - 15589\/62. Is -1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11533*p - 58222. What is d(5)?\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 3480 - 530. Suppose 9*u - 1031 = -s. Let z(m) = -12*m - 2. Calculate the smallest common multiple of u and z(-2).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (142 - 142 + i - 8*i**2)*(5 - 3 - 4) - 2*i**2 + 16*i**2 + 3*i**2 in the form q + s*i + m*i**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -785, -762, -723, -668, -597?\n\"Answer: 8*j**2 - j - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/21)\/(i*i**(-14)))**(-1\/57))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 485*n**2 + n + 1. Let k be a(1). Let b(l) = 11*l**2 + l + 1. Let h be b(5). Let y = k - h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*t - 2090 + 1495 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 5 (c) 7722 (d) 1\/9 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-12 + 33 - 46)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/7 + -15\/28. Let v = 22 - 21.96. Which is the third biggest value? (a) d (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22395 - -22130. Which is greater: -269 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3972 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1751*q - 1750*q - 1757*q + 5260*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 2*q**2 + 6*q. What is the remainder when 61 is divided by z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.3 - 8. Let d = 0.01 - -2.99. What is the second smallest value in d, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/207)\/6 - (-456)\/(-2070)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3586 - 3583. Suppose p - 47 = -39. Put -1, v, p in descending order.\nAnswer: p, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 413*y**2. Suppose 4*n = -4*r + 4, 3*n = 5*r - 5 - 0. Let k = n - 1. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46226271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35548140 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.2. Let l = -3495.1 - -3497. Sort l, a, 4 in increasing order.\nAnswer: a, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1534512816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 2127360?\nAnswer: 2127367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191301955*z**2 + 108247821*z.\nAnswer: -382603910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173478*o**4 - 245380 with respect to o.\nAnswer: 693912*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*n**4 + 22*n**4 - 100*n**4)*(-2 + 3 + 0).\nAnswer: -104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccocoooo. What is prob of picking 3 o and 1 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 147*f**3 - 10 - 3*f**2 - f**2 - 148*f**3 + 10*f + 0. Let a be y(-6). Let m(k) = -2*k**2 + 2*k - 3. Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 + 84 - 1*9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -19*w**5\/12 + 13*w**4\/24 - 513*w**3 + 2501*w**2 + 2*w. What is the derivative of k(l) wrt l?\nAnswer: -190*l + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 4, f: 2, b: 4, u: 2}. What is prob of picking 2 u and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4 = 3*s, -3*i = 3*s - 4*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2046, -2066, -2086, -2106, -2126, -2146?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**3 - 13*j**2 + 6*j - 34. Let r(b) = -13*b**3 + 27*b**2 - 11*b + 73. Determine -6*r(n) - 11*y(n).\nAnswer: n**3 - 19*n**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/(0 - 14\/9)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(10\/2))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d = -269 - 256 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -7*t**4\/12 - 5*t**3\/6 - 117*t**2 - 10. Give o(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -1 - (-4 - 2) - -3. Suppose -4*r + 3*b - l = -b, 0 = -5*r + 4*b - 5. Suppose r*c = 4*c - 9. Put c, -3, -1 in decreasing order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -668197318, -668197320, -668197322, -668197324, -668197326, -668197328?\n\"Answer: -2*m - 668197316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 9*m**4 + 27*m - 39. What is the derivative of n(y) wrt y?\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 + b. Let g be j(3). Suppose -i - 14 = -g*i. Solve 0 = -3*x + i*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 - 1\/2*o**3 + 0*o**2 - o + 1\/6*o**4. Find the second derivative of w(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*y + 5 = 2*p, p - 2*y = 2. Let w = 2 - p. Suppose 2*u + w*f = 5*u - 6, 5*u - f = 3. Solve u = b + b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*m**2 - 223 + 405*m - 331*m**2 - 1194*m + 6*m**3 - 173 - 3*m**3.\nAnswer: 3*(m - 132)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.680368 - 79432.\nAnswer: -79432.680368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27383043 to the nearest integer?\nAnswer: 5233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let f = 1 - j. Let b = 8 - 4. Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*u + 107357, -3*u = -5*l - 176753 + 15705. List the prime factors of u.\nAnswer: 3, 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -516692, -516740, -516788, -516836, -516884?\n\"Answer: -48*g - 516644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**3 + 16*c**2 - 26*c - 97. Calculate l(-5).\nAnswer: 1433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 2*f + 2, -5*f = 2*u + 15. Sort -2, 10, u.\nAnswer: -2, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174982079?\nAnswer: 223, 269, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113307546?\nAnswer: 2, 3, 11, 156071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 1083, 2435, 4327, 6759, 9731, 13243?\nAnswer: 17295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/21 (b) 3 (c) -4\/7 (d) 309 (e) 14\/197\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1125 + 2a1?\nAnswer: -a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -u + 229, 0 = l - 2124 + 2169 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*r**3 - 30365*r**2 - 1053070*r + 7707635 = 0. Calculate r.\nAnswer: -79, 247\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + g = -3, k + 5*g + 10 = 9*g. Solve 2*f - k = -t, -4*f + 0*f + 4 = 5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by -121\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - ((-37 - -1) + 11)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from lssllxs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m - 71. Let s be h(-8). Calculate the highest common divisor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = 7*j - 329 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 138285 * 0.5\nAnswer: 69142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**5 + 3*m**3 - 13. What is the third derivative of v(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 7. Let b = g + -4. Sort 1, -5, b in descending order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3 - 10 + 0*m**5 - 31*m - 9\/8*m**2 - 3\/8*m**4 + 1\/40*m**6. Let t(l) be the first derivative of b(l). Factor t(i).\nAnswer: 3*(i - 1)**3*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2967*v**3 + 2598*v**3 - 9674*v**3 + 2612*v**3.\nAnswer: -1497*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -745249.4 - -2?\nAnswer: -745247.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 130. Calculate the lowest common multiple of a(25) and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61730 or -62314?\nAnswer: -62314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2381*i + 515*i + 5 - 3 - 1844*i.\nAnswer: -3710*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 4*u - 3*u)*(7 + 4 - 4) + 31*u + 234 - 93*u - 232.\nAnswer: -55*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -905, -1845, -2785, -3725, -4665, -5605?\n\"Answer: -940*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - o**3 + 2*o - 2*o + 0*o - 2*o to s*o**3 + x + g*o**2 + r*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -73810, 110 in increasing order.\nAnswer: -73810, -4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 - 23 = 0. Suppose t = 2*t - 5. Sort b, t, -4 in descending order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249517331?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(384))\/sqrt(8))**2 - (2 + (sqrt(3)*2*-1 - (0 + sqrt(3) + (sqrt(48) - sqrt(3))))).\nAnswer: 14*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 54*s - 320.\nAnswer: 2*(s - 5)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000072376265 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h = 25*h + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -k + 5*n - 38, 4*k + 2*n + 18 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.041 + 56.959. Let h = f - 56.22. Let z = 0.22 + h. Do z and -2\/35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-1 - -3)\/6. Let i(w) = w**2 - 14*w - 3. Let r be i(13). Let m = r - -65\/4. Which is the closest to -0.1? (a) x (b) 1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f**3 + 1. Suppose -4 = -3*x - x - 3*l, -4*l + 1 = x. Suppose -4*w + 5 = x. Does 12 divide y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - sqrt(1900)*-3) + (sqrt(2299) + 1 - sqrt(2299)) + -2)**2.\nAnswer: -80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 5. Let q be r(-4). Suppose 5*i - 4 = 2*c, -2*i + c + 2 = -q*i. Suppose i = 5*m - m + 4. Which is greater: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 + 17*n - 16. Let z(t) = -t**2 + 1. Let a(u) = -h(u) - 4*z(u). Let v be a(6). Calculate the greatest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 27*y**4 + 2*y**2 - 16*y**4 - 12*y**4 - 2*y as a + m*y**3 + w*y**4 + g*y**2 + c*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 48*g - 59. Suppose 4*c + 55 = 3*p, 0 = -5*p + 3*c - 8*c + 80. What is y(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3302002 - 11?\nAnswer: -3302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1979164 (base 10) to base 12.\nAnswer: 7b5424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23205\/18593 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 128*d**2 + 663*d + 257. Determine x(133).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.055618\nAnswer: 0.0055618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 191*j - 3160 = -170 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/56 + 284\/14. Suppose 3*i = -i - s. Sort i, 4, -1 in ascending order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 2. Let s be b(0). Let w = 1.1 + -1. Let a(l) = 5*l**3 + l**2 - 2*l + 1. Let c be a(1). What is the closest to 1\/2 in c, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2. Let s be d(1). Suppose 4*r - 4*v - 353 - 703 = 0, 0 = -s*r + 3*v + 1322. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - r**3 - r**3 + 7*r**2 to f*r**2 + y + j*r + s*r**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + s + 0*s)*(-32 + 32 - 12*s**3) + 0*s**4 - 3*s**4 - 5*s**4 + 4*s - 4*s + 3*s**4 as z*s**3 + k + t*s + r*s**4 + h*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 484 (b) 29\/11 (c) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 l when three letters picked without replacement from {g: 2, e: 1, o: 2, w: 2, l: 12}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704951269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 + 5471*d - 700588. Give k(-1210).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -160981\nAnswer: -22\/160981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 28. Let p be v(-19). Let j(b) = -b**2 - 16*b - 3. Does 12 divide j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/102 and -101\/12562626?\nAnswer: 12562626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879557525 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65547*n - 6819*n**2 + 6797*n**2 - 65547*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjay. What is prob of sequence jy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 503220269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x - 26*x**2 - 109*x**2 - 9*x - 51*x**2 + 246 with respect to x.\nAnswer: -372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3157 - -0.2237. What is o rounded to 3 decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnttrtdtbbtn. Give prob of picking 1 n and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43375305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 41, -5\/6, -554, -38?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116, -970, -698, -240, 464, 1474, 2850, 4652?\nAnswer: 6940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from {r: 5, x: 6, e: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2171*b + 5010. Let r(v) = 2*v - 5. Determine i(q) + 1002*r(q).\nAnswer: -167*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.273 + -30.\nAnswer: -30.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2 + 97*g + 162. What is l(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 40243?\nAnswer: 442673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -78 - (-379 + 236).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:28 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0211 + 0.2211. What is the closest to 2 in -2\/5, -0.5, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 682 + -682.000002371. What is l rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666)*-3)\/sqrt(2)*5)**2.\nAnswer: 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:55 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.00107133936?\nAnswer: -5.00107133936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 527912 in descending order.\nAnswer: 527912, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -30. Let c = b - 4.999977. What is c rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1782890, 1782877, 1782858, 1782833, 1782802?\n\"Answer: -3*b**2 - 4*b + 1782897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*5 - (0 + sqrt(21)\/sqrt(7)).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-276)\/(-108) + -3 + (-6)\/(-9)*1. Let l(g) = g**3 - 2*g**2 + 1. Let p be l(2). Which is the third smallest value? (a) p (b) m (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -34 = -x + f. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-90) - 22\/(-18). Suppose -i + 0 = -r. Suppose -2 = -3*x + i. Which is bigger: x or 1\/31?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 6*c - 10. Let f = -22 + 21. Let h be (9 - -1)*f\/14*-7. What are the prime factors of u(h)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9776 and 832.\nAnswer: 39104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:13 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-8 + 39 + (-21 - -8) - -11).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 12 - (8\/4 - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/48? (a) -0.01 (b) -2 (c) -0.24 (d) -2\/3 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -24. Let g(x) = -220*x - 3. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*d + 146. Suppose -5*r = -d - 127. What is the remainder when 173 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 less than 3260?\nAnswer: 3260.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = 12. Let g(r) = -r + 10. Let l be g(z). Factor -1\/3*s**2 + 0 - 2\/3*s**3 - 1\/3*s**l + 0*s.\nAnswer: -s**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354 + -355. What is the units digit of z\/4 - (-1012)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + t**2)*(-3 + t + 3) + 2*t**3 - 2*t**3 - 2*t**3 + (1 - 1 - 6*t)*(2 + 0 - 1)*(6*t - 3*t**2 - 6*t))*(-317 + 258 - 223).\nAnswer: -4794*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-30*v**3 + 6 - 6) - 8*v**3 + 10 - 10.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2288032 = 371*j - 403*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -820 - -23502?\nAnswer: 22ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-120)\/150)\/(6\/(-195)). Let s be 112\/36 + -3 + z\/9. Let a = 9 + -2. What is the nearest to -1 in 2\/7, s, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128715649?\nAnswer: 128715649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1609, -6407, -14403, -25597, -39989, -57579?\n\"Answer: -1599*t**2 - t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let a(j) = -9*j. Give b(a(t)).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 17. Let a = -51 + 40. Let t be d(a). Differentiate -11 - t + 13*o - 13 + 0 with respect to o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 274324678 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, u: 4, q: 1}. Give prob of picking 1 q, 2 u, and 1 x.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8538491 and 4548?\nAnswer: 102461892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 4*j**2 + 4*j**2)*(0*j + 0*j + 2*j**3) + (-1 + 1 + 5*j**2)*(-2*j**3 + 6*j**3 - 2*j**3).\nAnswer: 44*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6))\/(1\/(-3)). Suppose 0*c - 50 = p*c. List the prime factors of c*1\/((-1)\/1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -281463*l. Let a(q) = -3*q**2. What is a(x(t))?\nAnswer: -237664261107*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45045, -88999, -132953, -176907, -220861?\n\"Answer: -43954*t - 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (286 + 379 - 208)*((2*s - s - 3*s)*(-2 + 2 - s) + (s + 0*s + 2*s)*(s - 2*s + 2*s) + 3*s**2 - 5*s**2 + 4*s**2) to the form t + p*s + g*s**2 and give g.\nAnswer: 3199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.896715905 + 5.73.\nAnswer: 6.626715905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:55 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -210621 (base 8) to base 14\nAnswer: -1b745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -28\/5 (b) 4\/3 (c) 26 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, 81, 123?\n\"Answer: 42*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**8\/16 + f**4\/4 - 8*f**2. What is the second derivative of w(z) wrt z?\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4810441597 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*o = 21, -14 = -x + o + 7. Let i be (x\/(-3)*(-2)\/(-6))\/(-1). Solve 2*j - i*k - k = -9, -2 = j - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o + o - 3 + 0 + 2 - 3. Let u(t) = t**2 + 6*t - 10. Let n be u(-7). Give y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-54))\/(-5)*10\/((-3440)\/(-36))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229200456?\nAnswer: 2, 3, 29, 127, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1091*z**6 + 2*z**2 - 90*z wrt z?\nAnswer: -130920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 3, b: 6, u: 2, e: 5}. Give prob of sequence ecb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-2)*(-22744)\/(-28430)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 53616 = -756708. Is 134 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 23 = 3*k + 4*s, 2*k - 22 = s. Let t(q) = 2*q**2 - 164*q + 974. What is the remainder when t(78) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0286547182 to 4 dps.\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 433985\/(-6351)*(-3)\/(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 30, 155, 366, 663?\n\"Answer: 43*a**2 - 90*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1409 = -36*u - 216*u + 103. Solve 7 = -u*w - 41 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*o**3 - 10\/3*o + 5\/3*o**2 - 5\/3.\nAnswer: 5*(o - 1)*(o + 1)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 427 = -463 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -2*u**7\/21 - u**6\/5 - u**3 + 2*u - 108. Find the second derivative of t(d) wrt d.\nAnswer: -80*d**3 - 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + w - 14 = 0, -w + 8 = -374*h + 375*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15453 minus 1772443970?\nAnswer: -1772428517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + i + 3)*((-i**2 - 1 + 1)*(-5 + 6 - 3) - i**2 + 0*i + 0*i - 5*i**2 + 2*i**2 + i**2).\nAnswer: -i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*i - 16 = 0, -2*i - 29 = -4*v - 13. Suppose -2*l + v*f + 44 = 0, -12*l + 13*l - 5*f = 14. Calculate the highest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 426, 852, 1294, 1758, 2250, 2776?\n\"Answer: x**3 + 2*x**2 + 413*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 16876*w + 67440 = 0.\nAnswer: -4215, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/3 + 3)*2\/(-20). Let t(h) be the second derivative of -5*h + 0 + 0*h**3 - b*h**4 + 0*h**2. Let i(d) = 8*d**2. Determine t(i(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*a**2 + 418 + 1479*a**2 + 1251 + 908 + a wrt a.\nAnswer: 3084*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 2338, 5225, 9260, 14443, 20774, 28253?\nAnswer: 36880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r - 29*r**2 - 7*r**3 - 15*r - 18 + 6*r**3 + 0*r**3 - 33. Determine t(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from tdtqttitdtdid?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35922 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283726810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = 0, -p = -5*j - 15 + 45. Suppose -y - j*r = -401, 3*y + 2*r - 5*r = 1257. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(306\/(-4)))\/(532 - (-1086360)\/(-2040))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/25)*g**(-37)*g**(-2\/11)*g*g\/(g**(-8\/3)*g) assuming g is positive.\nAnswer: g**(-26792\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-7))\/(-1)*1799\/(-2056))\/((-228)\/4256).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424443, -848888, -1273333, -1697778, -2122223, -2546668?\nAnswer: -2971113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211141 - 1443034?\nAnswer: -2204230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4659 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27948 (base 13) in base 4?\nAnswer: 102011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-168)*1596\/(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3031915 or 1?\nAnswer: 8\/3031915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 26. Let x(i) = -i**g + 2*i - 4 + 11 - 8. Suppose 11*t + 12*t - 46 = 0. Give x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(396)*1 - (1 + -1 + sqrt(396)))*5)**2*-2.\nAnswer: -495000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 112*s**2. Let m(n) = 18*n**2 + 1. What is m(a(q))?\nAnswer: 225792*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6 + 4 + -3 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2541 or 2540?\nAnswer: 2540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100033863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 365150 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-6)\/8). Suppose -n*a + 4*a = 20. Let y be (-2)\/a + (-9)\/5. What is the smallest value in y, -1\/3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871285?\nAnswer: 5, 11, 59, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3458 divide 45507280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/(-10) - 0)*-12. Let g be 2\/(-8) + 35\/(-20). What are the prime factors of g\/(-3) + 1600\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*b + 5531 - 5505, 19 = 5*b - 6 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.3, -0.392, -5 in decreasing order.\nAnswer: 0.08, -0.3, -0.392, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(2*t**2 - 2*t**2 - t**2)*(-4 + 0 + 5) + 4*t**2 + 0*t**2 - 7*t**2 + (3 + 4*t - 3)*(-5 + 5 + 4*t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2240 - -2239.9506. Round n to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100101 - -110?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/80 and 12\/832*(-44)\/6.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205192089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.344053 litres in millilitres?\nAnswer: 3344.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 2, i: 6, p: 2}. Give prob of sequence ppl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3 = 64*r - 60*r, 47*i - 2*r = 51 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*s + 6*s. Suppose 3*t - 7 = 2. Suppose t*j = -s*z + 19 + 7, z - 3*j = -5. Which is the third biggest value? (a) z (b) -5\/3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlncffp. What is prob of sequence fc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 - 2 = 0. Let g(c) = c**3 - 3*c**2 - 2*c - 5. Let b be g(4). List the prime factors of (14\/b)\/(o\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 18812a54?\nAnswer: 18812a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7735 and 14571635.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10.4. Let r = -0.03 + 2.03. Let d = r - 0. Which is the nearest to -1? (a) d (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106208 + -50941. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 + 118*x**2 - 546*x - 2646 = 0?\nAnswer: -63, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213196838 and 14.\nAnswer: 1492377866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t + 49. Let r(v) = -16*v - 50. What is 6*r(h) + 5*u(h)?\nAnswer: 9*h - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9*f + 4 = 0. What is the smallest common multiple of f + 12\/((-1)\/(-1)) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*-2)\/(sqrt(300)\/sqrt(3)) + ((sqrt(144) - (sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144) + -2*sqrt(144)))) - sqrt(144)) + sqrt(4))\/sqrt(72).\nAnswer: -187*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 40. Let v be o(-39). Which is the third smallest value? (a) v (b) -4.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 q when four letters picked without replacement from qqqzqqqqqqqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006392 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*p**4 - 183 + 843*p**2 - 189 - 841*p**2 wrt p.\nAnswer: -76*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.61328s in days?\nAnswer: 0.00248395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4329864 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -4204?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -529, -1054, -1577, -2098, -2617?\n\"Answer: a**2 - 528*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2*a**2 + 3. Let r be p(1). Suppose -3 = 2*v + 5. Are r and v nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 + 34*t + 0*t**2 - 1\/6*t**3. Let m(v) = 21*v**2. What is m(j(i))?\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -400512\/3404641 + -2\/200273. Let n = 0 - 3. What is the second smallest value in 1, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125941000 to the nearest one million.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82350, 82347, 82344?\n\"Answer: -3*n + 82353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-6)\/10)\/((5 - 3)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.4 (c) -2 (d) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103077213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5 + -4 + sqrt(1700) + -2*sqrt(1700) + sqrt(1700))*1 + 5)*-2*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + 0 + (43 + -51 - -55 - 24)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (9 - (13 + -3)) + -16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 14, 2 in descending order.\nAnswer: 14, 2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7724 + 2899. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 1. Let s = 6 - 4. Let l(z) = 3*z**2 - z. Let m be l(1). Suppose -8 = m*f + 5*q, s*f + 3*q = 7*f + 20. What is x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 1302*t**2 - 9*t + 38. What is d(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:59 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -41, -64, -83?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -235 + 111 - -105 - 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -40. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 9*l + 3*l + 2*l**2 - 8. Calculate the remainder when (-202)\/1717 + 5157\/51 is divided by n(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 = -i, i = -5*s + 40. Let b(u) be the third derivative of u**4\/8 + u**2. Let d(c) be the second derivative of c**3\/6 - c. Give s*d(v) - 2*b(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 723?\nAnswer: -144.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82\/2161 + -3640547\/19449. Let q = 187 + z. Which is the closest to 0? (a) q (b) -1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**5\/2 + p**4\/3 - 3*p**3\/2 - 7*p**2\/2 + 23*p - 24. Let u(s) be the first derivative of f(s). Is u(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 148 = -3*p, y = -0*y - 4*p + 127. Suppose 0 = -0*t - t + y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337\/17187*-36*(-1)\/2.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125 = 38*q - 136*q + 145 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81012839951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8324, -16653, -24982, -33311, -41640, -49969?\nAnswer: -58298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 237 + 265. Which is the smallest value? (a) v (b) 1 (c) -3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21001212002022200?\nAnswer: -21001212002022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 473\/84 - 110\/7. Let a(f) = -3914*f + 2. Let v be a(2). Let q = v + 172213\/22. What is the common denominator of c and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 1)*(-20)\/(-25). Let r(f) = 5*f + 6 - i - 2. Let v(z) = z. Determine r(v(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 17*o + 2*o)*(21*o - 4*o - 6*o + 46*o + (0*o + 0*o + 2*o)*(-1 - 5 + 4)).\nAnswer: 954*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 + 153. Suppose 56 = -5*u + 12*u. Solve 0 = 5*j + x + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(99))**2 + 0)*-4.\nAnswer: -6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 7. Suppose 4*m - 121 = 5*g, 2*g + x*m = -2*g - 105. Let k = -8 - g. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -32, -64, -128, -236?\n\"Answer: -2*d**3 + 2*d**2 - 4*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5864 - 140711\/24. Find the common denominator of 103\/576 and f.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 1. Suppose p - h = 1. Factor -9*b**2 + 0*b**5 + 4*b**p - 2*b + 5*b**2 + 2*b**5.\nAnswer: 2*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 1 n when three letters picked without replacement from nsna?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60872 is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p - 4*p**2 + 6*p)*(-577 - 410*p + 577) to r*p**2 + m*p**3 + l + v*p and give m.\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 850.42017725 - 850.318. Let d = -0.0611771 + g. Let s = -0.041 + d. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4998 to 2 decimal places.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + 3*b + 13. Let m be v(0). Let f(i) = -4*i + 37. Let z be f(m). Let r be 101\/5 + 3\/z. Solve -n = 3*n - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 27 - 9. Suppose -248 = -34*v + c*v. Solve v*w = 3*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4 + 2685*r + 47 - 7 - 2700*r wrt r.\nAnswer: -8*r**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 191 + 186. Suppose p*m = -4*w + 99, -10*m = -7*m + 3. Calculate the greatest common divisor of w and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246 (base 7) to base 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 9*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*r - 101, -6*i - 1386*r = -1388*r + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580725533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2860)\/(-9))\/(404\/1818)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**3\/8 + 1140*k**2 + 1081333*k\/8 + 17114769\/4.\nAnswer: (k + 882)*(3*k + 197)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5105923315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*u**3 + 3342220*u**2 - 3819488*u + 1091264.\nAnswer: -4*(u - 17051)*(7*u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04315665 to 5 dps.\nAnswer: 0.04316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-32)\/(-80))*39. Which is bigger: m or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*m**2 + 18*m**3 + 16*m**2 + 15*m**2 + (2*m + 0 + 3 - 1)*(2*m**2 + m**2 - 2*m**2)*(-1 + 1 - 2).\nAnswer: 14*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -304087.59 and -0.1?\nAnswer: 30408.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10432091 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174*22\/(-132)*6\/6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*h - 3*h = -39, -2*h + 43 = 5*s. Suppose -s = -l + 1. Suppose -g + l = -5*p - 9, 3 = -p. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(4840)*-2 - sqrt(4840)) + sqrt(4840)))\/(sqrt(392) + (sqrt(392)*2 + sqrt(392))*5).\nAnswer: 33*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 19. What is v(-19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224.363 minus -1770560?\nAnswer: 1775784.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.35951104 rounded to two decimal places?\nAnswer: -7.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from cwwumpw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 3. Suppose 2*j - 40 = 7*j + 5*v, 0 = 5*v + 10. Let b be (-130)\/(-39) - (-2)\/j. Give a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47271600 rounded to the nearest 100000?\nAnswer: -47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n**2\/7 + 557666*n\/7 + 16402\/7 = 0. Calculate n.\nAnswer: -1\/34, 8201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 33799*w + 135198. Give o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 - 2*h + 6. Let d(t) = 8*t**2 - t + 5. Give -5*d(r) + 4*j(r).\nAnswer: -4*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 3*k**2 - k**2 + 21*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 + 2. Suppose b + 4*v - 4 = 2*v, v + 20 = 5*b. Suppose b*p = -2*p + 18. Calculate l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-68)*(-3 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -2*c**7\/105 - 7*c**6\/30 + 2*c**5 - 88*c**2. Factor n(y).\nAnswer: -4*y**2*(y - 3)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(204)*1 + sqrt(204) + sqrt(204) - sqrt(204))\/(sqrt(48)\/(sqrt(8)\/sqrt(2))) + 1 + (sqrt(17) + (sqrt(68)\/sqrt(4) + sqrt(17))*3)*3.\nAnswer: -2 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-51)\/24)*2. Suppose -5*k + 789*f - 12 = 790*f, 3*k + 10 = -f. What is the closest to -2 in w, -3\/5, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233499?\nAnswer: 3, 7, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 37, -6475?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and -9\/2456.\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 + 100?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*j + 5 = 0, 3*c + 34 = 4*j + 29. Let r be (12\/(-20))\/(c\/(-15)) - 6. Put r, -4, -26 in descending order.\nAnswer: r, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328747957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = -5*f - 6, 0 = -j + 3*f - 12. Let c be 135\/25 - 9\/(-15). Let o be (c\/(-27))\/(2\/(-18)). Solve 0*k + 10 = -k - j*h, -o*k - 5 = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + (-1872)\/576\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.269 and -629.\nAnswer: 2685.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c (base 16) to base 12.\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 30. Let o(s) = -s + 14. Let f be o(v). Suppose f*x - 196 = 160. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148883426 divided by 148883426?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.6 + -1.4. Let y = -15 - n. What is the second biggest value in y, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 78124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Suppose 4*c - 29 = 3*c - 5*f, 4*c - 5*f + 9 = 0. What is the nearest to 1\/4 in c, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 305*b*f**2 - 266*b*m - b + 84*f**2*m + 2*f**2 + 2*f - 57 wrt f.\nAnswer: 610*b*f + 168*f*m + 4*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - c + 1. Let x be r(3). Let a be 3\/(x*(-2)\/24). Suppose 3*q - 69 = -a. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277 + -273. Let g = 3 + 0. Factor -4 + j*l - l - 2 + g*l**2.\nAnswer: 3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - 147. Suppose r = -3*r + t. Factor -3*q**2 + 50*q**3 + r*q**2 - 47*q**3.\nAnswer: 3*q**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*66\/((-41580)\/(-2610))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 + 0 + 106*f**2 + 1 to the form l*f + b*f**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -16 - 0. Let b be (437\/(-38))\/((-2)\/36). Suppose 4*u = 3*h + 2*h + b, -3*u = -o*h - 155. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from eppeep?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 557351395578 - -2.\nAnswer: 557351395580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 1. Let h be b(-2). Let d(p) = -p + 0*p - h*p + p. Let x(w) = w**2. What is d(x(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 89 - 70 + 60*b + (-2*b + b + 2*b)*(2 + 3 - 4) - 3 + 3 + 2*b to u + q*b and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + 2013\/12. Suppose 4*h = 4*r - 196, -r = -5*r - 3*h + c. Suppose -116 = -9*y - 62. What is the remainder when r is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baba when four letters picked without replacement from {b: 6, u: 4, a: 5, k: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.0680095, 19, 2?\nAnswer: -0.0680095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 + 42684*q**4 + 3299325*q**3 + 73339350*q**2 + 647875500*q + 2017005000 = 0?\nAnswer: -47, -10, 14305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451461.\nAnswer: 3, 61, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/9 + 151240*x**3\/3 + 2859040954*x**2 - 17156060652*x = 0. Calculate x.\nAnswer: -113433, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119450848 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 336\/13225 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 5*k + 7*y, -2*k - 44*y - 43 = -81*y + 36*y for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -917.7 - -918.2. Which is the nearest to -2\/5? (a) -1.1 (b) 1.8 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 - 7*h**3 + h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*m + 3*k, 0 = -4*m + 2*k. Suppose -2*r = 2*w - 28, 2*r + 3*r - 5*w - 50 = m. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -362 in 0.3, 1.3, 31\/3, 4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 + i. Let m(h) = 4*h**3 + 13*h**2 - 7*h - 5. Let p(a) = -m(a) - 3*w(a). Let t = -122 + 118. Determine p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t**(5\/6))\/t))**46\/(t**(-2)*t**(-3\/4)))**(-22\/9) assuming t is positive.\nAnswer: t**(4697\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6678 and -1.\nAnswer: -6678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 6*w. Suppose -2*k - 12 = 6*l - 3*l, l = -4*k - 4. What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 - 108339*m**2 - 931500?\nAnswer: 3*m**2 - 216678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -d2 (base 16) to base 4\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31416 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 45. Calculate u(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(405) + sqrt(405) + 3 + 5)**2 - (sqrt(405) + (sqrt(405)*1 + sqrt(405))*-5)**2) + -4).\nAnswer: -31125 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 6*x + 3. Let o be (-4)\/6 + (-5)\/(-3). Let l be (-7)\/((-28)\/16)*o. Let q be (l + -6)*5\/2. Calculate c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 0)\/(31 + -30). Solve -14*t + 10 = -17*t - 2*g, 2*g = 3*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290581404?\nAnswer: 2, 7, 181, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -12 + 2. Let r be (n - (-2 - -2)) + 2. Suppose -v + 11 = 7. Solve r = -x + v - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179353.5 centuries in millennia?\nAnswer: 17935.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68102850 and 129798.\nAnswer: -67973052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 y when three letters picked without replacement from ydyyyyyyyyydy?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -47, -55, -65, -77?\n\"Answer: -x**2 - 3*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 83*s**3\/6 + 1287*s**2 + 2281*s. Find the first derivative of m(q) wrt q.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9 - 11 + 26 - 136281*m**3.\nAnswer: -136281*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o*y**2 + 20308*o + 7*y**3 - 69836*y**2 - 1 wrt y?\nAnswer: -4*o*y + 21*y**2 - 139672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f + -4?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7167690.571\nAnswer: -7167690.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 721063841 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1455, -2907, -4357, -5805, -7251, -8695?\nAnswer: -10137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 + 10*b - 13. Let k be c(6). Let u = k - -61. Suppose h - 3*d - 189 - 245 = u, 2075 = 5*h + 4*d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o - o**2 + (1 + 2*o - 1)*(3*o + 2*o - 3*o) - o**2 + 3*o**2 + 0*o**2 + (113*o - 80 + 80)*(-2*o - 1 + 1) to the form u + y*o**2 + i*o and give y.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 231*f**2 + 67*f - 415. List the prime factors of h(6).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5471*s + 1329456. Determine z(243).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {r: 2, d: 1, v: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 958630446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 44*i**2\/9 + 178*i\/9 - 224\/9.\nAnswer: 2*(i - 1)*(i + 7)*(i + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -1, -0.17 in ascending order.\nAnswer: -1, -0.2, -0.17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00638712103 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36126389697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.6 and 2\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 - 63*h - 16. Calculate the least common multiple of 32 and p(-10).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(112)*-6.\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 58 + -31 - (4 + 1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 370 = 6. Calculate the greatest common divisor of a and 1690.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3276 and 2133404?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-4)\/36)\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7.1. Let s = 0.5 + -0.7. What is the closest to p in s, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451 divided by 4.\nAnswer: 451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r**3 - 38*r**3 + 8*r**3.\nAnswer: -99*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 0 + (sqrt(20) + sqrt(80) - sqrt(20))\/sqrt(10).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 223856?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 7\/116, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79739405 and 2199?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 136472 = -5*g, 5*t - 3*t + 5*g - 68226 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5557*w + 5532*w = -444 - 356 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1231\/4333 - -1\/619. Put 4, x, 9\/7, 6 in increasing order.\nAnswer: x, 9\/7, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 1, s: 1, o: 1, h: 2, q: 1}. Give prob of picking 2 s, 1 o, and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434953901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/343840 and -111\/140?\nAnswer: 343840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 6*g**3 - g)*(2*g**2 - 8*g**2 + 8*g**2 + 52*g).\nAnswer: -12*g**5 - 312*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 7, -1023?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15682 + -15673. Let s(y) = -y. Let l be s(-1). Let h be 0\/l - (-16 + -2). Calculate the greatest common divisor of h and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51984676.\nAnswer: 2, 3373, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22732 is divided by 76?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 60 = 4*q + 5*w, 81 = 3*q - 2*w. Calculate the greatest common divisor of q and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256406720.3 rounded to the nearest 1000000?\nAnswer: 256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 54*z + 38. What is m(29)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51301507 and 34411.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5862 - 5861.999988019. Round g to 7 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -134. Suppose 5*p = -o*d + 1413, 5 = 2*d + 3. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 593 + -4?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/151 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g + 130269 = 129985 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44110*z**2 - 319*z - 28726092 wrt z.\nAnswer: -88220*z - 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 1219, 1825, 2437, 3061?\nAnswer: 3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let l(a) = -6*a**2 + 6*a - 37. Let z(j) = 6*b(j) - l(j). Differentiate z(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 + d + 2. Let q be (-3)\/(-1) - (8 + -7). Calculate the lowest common multiple of c(q) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/1 - -2) + -7. Let h(i) = -i**3 + i**2 + i. Let k(u) = -u**3 + 7*u**2 + 7*u. Let q(w) = b*h(w) + k(w). Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1911 and -10712357533.\nAnswer: -10712355622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2. Let v(s) = 101653*s**2. Calculate v(m(u)).\nAnswer: 914877*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344 = -3*n + 1320 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u + 3. Suppose 5*h + 57 = -13. Let c = 10 + h. Calculate w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 1 + 0 + 4*n)*((10*n - 2*n + 0*n)*(-5 + 5 + 3) + 1 - n - 1 + (3*n - n - 3*n)*(-1 - 4 + 6) - 5*n - 3*n + 6*n - n + 1 - 1).\nAnswer: 38*n**2 + 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -128\/9, 2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/12*648\/360*6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 663 and 9321?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t - 0*t. Let g be (1*t\/20)\/1. Let r = -0.7 - -0.2. Which is the nearest to -0.1? (a) r (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*4 + -1*(-8)\/2. Let y = p + -51. Solve 5*j - y = -c + 3, -27 = 4*c - 5*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56518 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 59*s - 57*s + 2)*(-8 - 4 - 10).\nAnswer: -44*s - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4105512 - -12?\nAnswer: 4105524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000105442 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 4*w + 15*y + 8, -4 = 2*w - 4*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1953\/(-48825)*285\/1.\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 j when four letters picked without replacement from {j: 17, g: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 - (-206)\/(-14). Let y be (36\/(-20))\/(1\/u). Suppose 0 = i - y - 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -7 (c) 5\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36769.5 - -36769. Let o(y) = -y - 8. Let c be o(-8). What is the closest to -2 in c, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553?\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*p - 102*p + 3073 = 0. What is the remainder when p is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5354*y**2. Let w(n) be the second derivative of n**4\/12 + 4412*n. Give b(w(m)).\nAnswer: 5354*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(4) - (sqrt(36) - (sqrt(36)*3 + sqrt(36)))))\/(-2*((sqrt(1100) - sqrt(1100)*3) + sqrt(1100)) + sqrt(1100)).\nAnswer: sqrt(3)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 + 11*x + 20. Give w(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25469677\/21 + -1213070. Let i = u + 228. Let r = -3256 + 16341\/5. Calculate the common denominator of i and r.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.46 + 5.46. Let z = -1116\/13 - -86. Which is the third biggest value? (a) 5 (b) z (c) 14 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffckkdzkzz. Give prob of sequence ffc.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 3*p - 12, -p - 5 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*-2 - ((-22714)\/4155)\/(-2 + 4)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l - 9. Let r be c(-11). Suppose -3*w + 249 = -r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let v(p) = -32*p - 2. What is v(g(k))?\nAnswer: 32*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, 6, 0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**3 + 6*m**2 + 250*m. Let k(q) = 5*q - 13. Give -3*b(s) - 4*k(s).\nAnswer: -2*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -5*q - 13*u, 26*u + 44 = -4*q + 3*u + 27*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34705 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*v + 21, v + 3 = 3*q - 8. Suppose u = -0*p + 2*p - 585, v*p = -3*u + 1175. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -396 - -202. What is the second biggest value in -0.5, 5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/3 + a**5\/30 + 5*a**3\/6 - 128*a**2. What is the third derivative of m(z) wrt z?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 + -0.46999906. What is h rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*w - 35*w + 2540 - 1688 + 3448 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 77046*m - 298474*m - 6 + 1 + 1. Let j be z(7). What is j rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*n + 28035 = -629*n - 441*n + 87087 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, 3*j - 968 = 4*p + 1777. Suppose 0 = -11*y - 207 + j. Let b be (1 + 3)*(-1 + 3). Calculate the highest common factor of y and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let a be 2\/(-9) - 32636\/(-252). Let x = 129 - a. What is the biggest value in 3, g, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -17*q**3 + 705*q**2 - 997*q - 128. Determine k(40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 26, 35, 42?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = h - 6 + 24, 4*i = -4*h - 48 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 232, -2\/99, -1, 4, 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.025553 + 0.0253. What is q rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3972 - 0.3\nAnswer: 3971.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.95 + -4.205. Let w = z - -0.255. Which is the third smallest value? (a) w (b) 0.4 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1246*y**3 + 5*y**2 - 9*y + 6. Let m be z(1). Calculate the highest common factor of m and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3321001 - 3?\nAnswer: 3320665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 126. Suppose -3*q + f = -2*s, 3*q - 52 = -4*s - 12. Calculate the greatest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15976 to three dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 7, 9, 1 in decreasing order.\nAnswer: 9, 7, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24073188 by 3.\nAnswer: -8024396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*o + 29*o - 4 + 3)*(3*o + 0*o - 5*o)*(1 - 2 - 2) to the form j*o**2 + b*o + l and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 244608 or 64?\nAnswer: 244608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4\/75, 2\/15, -1.\nAnswer: -6, -1, -4\/75, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 124 - 58 - 61.\nAnswer: 14*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 - 552\/5. Is c less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-2 + 300\/74). Let p = 31\/111 - q. Factor 0 - p*j - 2\/3*j**2 - 1\/3*j**3.\nAnswer: -j*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2838\/2064)\/(7\/112)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104432 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222301, 444392, 666487, 888586?\nAnswer: 1110689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 + 2\/((-8)\/(-60)) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -0.0145.\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 + 337. List the prime factors of (-4)\/(k\/(-248)*2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 23 = 4*i, i - 64 = -2*y - 69 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4264, 4266, 4268, 4270?\nAnswer: 4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -753*n - 296. Is m(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4397, -5023, -5663, -6323, -7009, -7727, -8483?\nAnswer: -9283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -n + 229. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/20)\/((-21)\/(-70)). Let y(l) = 3*l**3 - 7*l**2 + 2*l - 6. Let w be y(6). What is the units digit of w\/8 - n\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*u - q**2*x - 50*q**2 - 10*q*u*x + 3*q*u - q*x wrt q.\nAnswer: 2*u - 2*x - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31076 is divided by 6211?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54220548 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9627424*x**4 - 3*x**2 - 294717*x wrt x?\nAnswer: 231058176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000584717 rounded to six decimal places?\nAnswer: 0.000585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46917 + -24675. List the prime factors of k.\nAnswer: 2, 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234655 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let q = 19446.5 + -19446. Which is the third biggest value? (a) q (b) -14\/9 (c) w (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aibc when four letters picked without replacement from {b: 1, c: 4, p: 1, i: 1, a: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 25*x + 104. Let a be o(5). Solve 0 = -3*r + a*u + 10, u + 14 = r - 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 + 1836\/(-90) - (-3 + -2). What is the nearest to -0.1 in -0.083, -4, -0.2, l?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 4*a - 3. Let d be i(-3). Let z = d + 2. Let n be -1*(z - (-1 + 4)). Let m(h) = h. Let v(g) = 5*g - 1. What is n*v(y) - 4*m(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9620918 to the power of 1\/2, to the nearest integer?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2 - 2)*(2*k + 2*k - 2*k)*(-k - 2*k - k).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 53 - 27 - 50 to v*j**2 + c*j + m*j**3 + x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2227, 5021, 8429, 12451, 17087, 22337, 28201?\nAnswer: 34679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2242.9 - 2246. What is the third biggest value in 4, 6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 258, 303, 346?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139318579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275\/3 - 3007\/33. Which is the biggest value? (a) 2 (b) p (c) -0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:55 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2*(-474)\/8)\/((-44)\/(-88))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8 = 0, -22*p = -24*p + 2*c + 58 - 20 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - 0.01. Let m = -1 - p. Let w = m + 0.8904. Round w to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53645855018 - 14.6.\nAnswer: -53645855032.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 6 = -16*s. Suppose -4*r = -s*q - 23, 4*r = q - 6*q - 17. Solve -g - g = -r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3)\/(-1)*0. Let w = -20 + 26. Suppose -3*h + 0*h = -2*k - w, 2*k = -5*h + 10. Sort r, -4, h.\nAnswer: -4, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.818627 decades to centuries.\nAnswer: 0.9818627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129210 and 1197930?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2609 - 6916. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/32 - 9453507\/(-304)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 + 0.14. What is the third smallest value in -4, -3\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238 + -162. Let n = h - 76. Let l = -127 - -126. Sort n, l, 2\/7 in descending order.\nAnswer: 2\/7, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/5 (c) 0.8 (d) 6.8 (e) -23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 1349*u - 12707. Calculate j(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 2}. Give prob of picking 2 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347*b*j**2*z + 17*b*j*z - 4*b + 20*j**2*z - 3*j + z - 1 wrt j.\nAnswer: -694*b*z + 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-17) + 4\/(-204)*-6. Suppose j + 3*w - 4 = h, -3*w + 4*w = -j + 4. Solve 3*i - 2*n = -j, -4*i + 23 = 4*n - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x - 6 + 4*x - x. What is the remainder when (0 - (-1556)\/21) + (-8)\/84 is divided by n(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -211\/953 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - t + 1825 = 0, -226 = 3*q - 5*t - 2944. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 4:38 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/229 in -1, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.451 - -0.003645\nAnswer: -0.447355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091773 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997414 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-42)*(-28)\/(-8)*25\/190?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-7) - ((-3)\/(-9) - 8\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4147 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 809*m**2*q - 853*m**2 - q wrt q.\nAnswer: 809*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - f - 1. Let i(n) = 17*n**2 + 9*n + 7. Let d(v) = -i(v) - 5*p(v). Let q(g) = -1. Calculate d(s) - 5*q(s).\nAnswer: -2*s**2 - 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 2 = 3*w. Let a be (w\/(-27))\/((-2)\/3). Solve -3*o + 6 = -5*y - 2, -a*y - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*t - 35. Suppose 5*b = t*b - 2. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*n + 34*n + 8*n as h*n + f and give h.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.201, 0.4, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3*n*p + 99*g**3*n - g**3*p*r + g**3*p + 323*g**2*p*r + g**2 - 2*n*r wrt n.\nAnswer: 4*g**3*p + 99*g**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 - 2*x**2 + 6. Let d(a) = 7*a**3 + 3*a**2 - 11. Suppose -6 = -2*y + y. Let w(j) = y*d(j) + 11*c(j). Determine z so that w(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 3.5. Let w = 2.88 - 0.88. What is the third smallest value in m, w, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.157, 2\/9, -10, 5, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.9 + -28. Let d = o + -3. Let g = -0.124 - d. Round g to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*i**4 - 316*i - 137*i**4 + 36*i**4 wrt i?\nAnswer: 2568*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -k + 5*k. Let s be (-63)\/k + (-1)\/4. Let a(c) = -3*c - 8. Let i(f) = f + 3. Let t(g) = -3*a(g) - 8*i(g). What is t(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*g + 20, -20 + 5 = -g - d. Let l be ((-8)\/10)\/((-3)\/(-45)). Let f = l - -22. Calculate the highest common factor of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79897588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let n(y) = -575*y + 575*y + 22*y**2. Give n(b(u)).\nAnswer: 88*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**6\/39 - 378*k**5\/65 - 736*k**4\/13 - 8752*k**3\/39 - 5808*k**2\/13 - 5792*k\/13 + 2974. Factor g(x).\nAnswer: -2*(x + 2)**4*(x + 181)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99325, 198478, 297631, 396784?\nAnswer: 495937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**3\/2 + 403*n. Let x(d) = 108*d**2. What is t(x(m))?\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnnnjnnnn. What is prob of sequence jn?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -49*v**6\/6 - 21*v**5\/4 + 10*v**4 - 10*v**3\/3 - 611*v. Factor i(t).\nAnswer: -5*t*(t + 1)*(7*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*v**4 - 12*v**4 - 11*v**4 - 2 - 8*v**4 + 6*v to the form n*v**2 + h + y*v + i*v**3 + c*v**4 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/420 and 2.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7667 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a + 8. Let r(n) = 5*n**2 + 95*n + 18. Calculate -r(u) + 3*w(u).\nAnswer: -2*u**2 - 98*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2502 and 0.155.\nAnswer: -2501.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/8*(-8)\/(-6). Let p(x) = x**3 - 10*x**2 + 2*x + 12. Let j be p(t). Suppose -3*l = -j - 4. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8767593.\nAnswer: 3, 974177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -27*n + 18. Suppose 0 = -18*l + 15*l + n. Solve 5*t - l = 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 623563702*s**4 + 7*s + 34859582.\nAnswer: 7482764424*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.044385 and 1.1.\nAnswer: 1.055615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54*0.557\nAnswer: 30.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 34003322.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -27.2. Which is the closest to z? (a) -0.3 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 2*z + 2*z)*(0*z + 0*z + 4*z**2) + 81*z + 4*z**3 - 81*z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 187. Suppose -5*h = 4*d - 36, a*d - 16 = -3*h + 5*d. Solve 8 = -h*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 34316?\nAnswer: -34311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 3*r**3\/2 - 11*r**2\/2 - 19*r. Let a(k) = -4*k + 5. Let m(y) = -5*a(y) - 2*x(y). Calculate m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7104 divided by -1184.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x - 15*x + 124 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19556212 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 14*l**2 + 30*l + 18 = 0. What is l?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.3, -5, -0.4, -24\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*n - 11*n + 81*n.\nAnswer: 188*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 582 + 911 = 3*c, 5*j + 2455 = 5*c. Suppose w - 377 = -3*u, 2*u + 3*w - c = -2*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c0c46 + 15?\nAnswer: -1c0c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 25. Let u = q - 87.248. What is u rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*sqrt(52)*2)\/(-1*sqrt(4)*-2))**2.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38092590 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let s(k) = -5670*k + 105. Let z(a) = -109*a + 2. Let i(l) = 2*s(l) - 105*z(l). Calculate i(o(p)).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31428*d = 31411*d + 442 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*w + 5*h - 3, 4*w + 4*h - 12 = 0. Let q be w - 9\/(-6)*2. Solve -6 - q = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.8667l to millilitres.\nAnswer: 322866.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -c - 5, -2*c = -2*g + 16. Let l = c - 29. Calculate the common denominator of 99\/8 and ((-1)\/l)\/((-7)\/1778).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545 + -548. What is the biggest value in n, 1\/2, -0.2, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690442552 to the power of 1\/2, to the nearest integer?\nAnswer: 26276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175380000 rounded to the nearest 1000000?\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -41510 > -40211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -13. Let p = -20 + j. Solve 2*b + p*b + 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5316954 divided by 17\nAnswer: -312762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 194, 210, 246, 308, 402?\n\"Answer: p**3 + 4*p**2 - 3*p + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/2 of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z + 1151 + 1953 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = -l - 0*l, 0 = 4*h - l - 14. Suppose -i = -3*r + 67 - 378, 2*r + h*i + 189 = 0. 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 p = -50.2102 + 2.2752. Round p to one dp.\nAnswer: -47.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:48 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = -z + 2*z, -9 = -z + 2*i. Suppose z*x = x + 252. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 275, 2646, 9089, 21644, 42351, 73250, 116381?\n\"Answer: 340*z**3 - 4*z**2 + 3*z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 37 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 0 = 4*c - 16, -3*b - 16 = 4*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 11, 11, 9, 5, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -57*y**2 + 459*y - 384. Calculate b(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w + 2. Suppose 0 = 2*d + 2*d + 4*o - 24, 2*d + 5*o = w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/14457 and -70\/351543.\nAnswer: 27771897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 37*v**2 + 64*v - 900. What is w(38)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1098638*c - 3295902. What is u(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f. Suppose -5*c + 2*q + 69 = f, 5*c + 6*q - q - 90 = 0. Let p = c - -9. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*x**3 - 485*x**3 + 5*x - 5*x + 1456*x**3 - 483*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 3, -74 in descending order.\nAnswer: 3, -74, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/((-1)\/(-6)). Which is the biggest value? (a) 0.1 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (12 - (-3 - -5 - (6 + -5))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:01 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 68*g - 3. Let x be t(1). Suppose 148 = 2*u + 2*l, 4*u = -5*l + x + 228. What is the remainder when u is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggat. What is prob of sequence ta?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 3*o + 4. Let y be 4\/((-16)\/(-36))*(-4)\/(-6). Let l(k) = k**2 - 1. Let w(z) = y*l(z) + f(z). What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1\/3*k**3 - 12*k - 3\/2*k**2 - 43. Calculate b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 379*l - 343*l - 72 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 441, 532, 677, 894, 1201, 1616?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k - 3*k**2 + 17*k**2 + 4*k**2 + 14 + 2*k**2. Let h be f(4). Let o = h + -188. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*l - 2661*l + 10943 + 108097 = 0 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 23*h + 35. List the prime factors of w(13).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809880 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 - a - 5. Let h be (-6)\/(-27) + 92\/(-9). Let p(o) be the first derivative of o**2\/2 + 10*o - 3. Let n be p(h). Calculate c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 7) + -21 - -14546. Calculate the highest common divisor of 84 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/14*(-112)\/72. Are -4 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:31 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4080 = -81*m + 76*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -14, -28, -58, -110, -190?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77, -46, 43, 220, 515?\n\"Answer: 5*s**3 - s**2 - s - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(95) + sqrt(95) + (sqrt(95) - -1*sqrt(95)))*2)\/(4*sqrt(15)\/sqrt(3)))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*x**2)*(-55*x**2 - 198*x + 198*x + (3*x - 4*x + 0*x)*(2*x + 0 + 0) + 3*x**2 - 4*x**2 + 2*x**2).\nAnswer: -280*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 382, 991, 2102, 3883?\nAnswer: 6502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1415360 (base 12) to base 10.\nAnswer: -4011192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59700, 238831, 537410, 955437, 1492912, 2149835, 2926206?\n\"Answer: 59724*l**2 - 41*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -462232600 rounded to the nearest 100000?\nAnswer: -462200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 11*b + 62. Put -2\/9, b, 6.1, -1\/4 in decreasing order.\nAnswer: 6.1, -2\/9, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 44945446?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -914020 divided by -2?\nAnswer: 457010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 61, 8, -1 in decreasing order.\nAnswer: 61, 19, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 71 = 589. What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 165?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/904 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - 27\/(-5). Solve 4*j = -j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 1, y: 1, j: 2, d: 1, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256*(-219)\/105120*(-10)\/(-72)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 74, 98, 122, 146, 170?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 5*h + 6. What is the remainder when 50 is divided by a(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22201 + 1114?\nAnswer: 23320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*1 + -32 + 26. What are the prime factors of j\/6*140*4?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 305 and 550?\nAnswer: 33550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:33 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56 - (-2 + -1 - -7). What is the common denominator of (-159)\/8*z\/(-195) and -5\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223313032 (base 4) to base 12.\nAnswer: 87b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 19407070.\nAnswer: -19407079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15 and 165893?\nAnswer: -24883.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -4) + (0 - 1) - -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2987731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*u**3 + 192*u**3 + 191*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 23. Let n(s) = -249*s**3 - 3*s**2 + 3*s - 2. Let h be n(1). Let k = 267 + h. Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjvy when four letters picked without replacement from {c: 9, j: 2, v: 1, y: 2}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 307 + 55 = 0. Is 10\/(-3)*z\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6360\/(-16))\/15 + 215 + -191.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9777, 22678, 38721, 57918, 80281, 105822, 134553?\nAnswer: 166486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -68*p**3 - 9*p**2 + 9. Let s(l) = -17*l**3 - 2*l**2 + 2. Calculate -2*n(f) + 9*s(f).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3020788737.3 + 1655626121.4. Let n = o + 1365162750.90000057. Let i = n + -135. Round i to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1796 divided by -898\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5829*g**3 + 3653*g - 10. Let v(d) = 2915*d**3 - 1826*d + 6. Let x(h) = -3*s(h) - 5*v(h). Find the second derivative of x(o) wrt o.\nAnswer: 17472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12406 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1258, -2428, -3740, -5266, -7078?\n\"Answer: -12*r**3 + r**2 - 1089*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*j - 81*j - 81*j - 87*j - 598*j**2 to a + z*j**2 + f*j and give z.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 - 2*c**2 + ((4 - 1 - 1)*(0 + 4 - 2) + 40 - 29 - 26)*(-3*c + 2*c - c)*(5*c - 3*c - 9*c).\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:29 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2352 + -42247\/18. Calculate the common denominator of t and -67\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s - 5. Let f(h) = -14*h + 8. Let p(j) = 5*f(j) + 8*w(j). Let r(d) be the third derivative of d**5\/60 + 22*d**2. Calculate r(p(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1607 + 7631. Let c = q + -5757.7. Let g = c + -238. What is g rounded to zero dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 - (0 + 3)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceveveye. Give prob of picking 1 v, 1 c, and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 13*s + 41. Let p be n(-10). Let l(w) = 2*w**2 - 12*w - 33. Does 4 divide l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*f + 3*f - 32, -3*f + 5*c = -27. Put -5, f, 0, 1 in decreasing order.\nAnswer: f, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 143. Let f(h) = -h + 31. Calculate 4*f(o) - t(o).\nAnswer: -7*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 3 + 96\/(-28). Factor m + 2*o**2 + 18\/7*o.\nAnswer: 2*(o + 1)*(7*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:44 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101055 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 243108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -81, 2\/3, -65, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1407 divided by -1\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 52*s - 203. Let u be r(7). Let i(n) = -160*n + 319*n - u*n. Let q(k) = -34*k + 5 - 5. What is i(q(p))?\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.026913*0.4\nAnswer: 0.0107652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 + -162 - (-1 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12459 * -5\nAnswer: -62295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16555)\/(-1419) + 1*-11. Let 0*h + 0 - u*h**4 + 4\/3*h**3 + 2*h**2 = 0. What is h?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1701, -1, 4, 3, -10, 171 in decreasing order.\nAnswer: 171, 5, 4, 3, -1, -10, -1701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 + i + 1. Let u(w) = w - 7. Let d be u(6). Suppose 0 = -6*o + o - m + 66, o - 2*m - 22 = 0. What is the remainder when o is divided by l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -24. Let r = 24 + q. What is the smallest value in 0.3, r, -0.13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 2*m - 3*m + (24*m - 7 + 7)*(2 - 7 + 2) to the form b + s*m and give s.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -205, 142, 721, 1532, 2575?\n\"Answer: 116*a**2 - a - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.0004. Round q to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -61. Suppose -h = -w - 10. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 3*j - 2. Let b be y(2). Suppose -6*f - 6*f + 36 = b. Solve -3*c = f*z + 12, -3*z - 18 + 4 = 5*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 15228 - 2268 = 0. Suppose -f = 6*i - 10*i. Does 45 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 240 = -l. What is the lowest common multiple of l and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 685170330 to the nearest one hundred thousand.\nAnswer: 685200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8109*t**3 - 2*t**2 - t + 3. Let o be l(1). Suppose -17*b = -o - 1955. What is the highest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 276?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 <= -285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29820 is divided by 2126?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let h(n) = -303*n**2 + 78*n - 39. Let c(w) = -16*w**2 + 4*w - 2. Let b(j) = 117*c(j) - 6*h(j). Determine b(v(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)\/(100\/(-15) + 7). Suppose 3*n + 6 = u - 5*u, -2*u - 2 = 2*n. Sort 1, c, n, 4 in descending order.\nAnswer: 4, n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 - 10*d - 8. Let n be r(-6). Let f be (-4)\/(n\/(-105))*-4. What is the tens digit of ((-24)\/30)\/(6\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32359 is divided by 540?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Let j = -0.83 - 150.17. Let o = -150.9 - j. What is the closest to o in -0.1, 2\/17, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -881430 - -513030. What is q rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021003010 (base 4) to base 6.\nAnswer: -44515420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7278 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 1. Let t be p(1). Let r = 7 - t. Suppose -f = i - 0*f - 21, -r*i = -3*f - 137. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 5:09 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12683017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -684373 by -9.\nAnswer: 684373\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/8 (b) 108 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48 from -2262560896.\nAnswer: -2262560944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -178 - (-9574 + 9642).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2295\/10311958 - 1\/68632. Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-34 - (-13 - 8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((656\/(-1824))\/41*-2)\/(13\/(-2106)*6)?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {o: 1, p: 1, u: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*x**3 - 3*x**2 - 5*x - 6260 with respect to x.\nAnswer: -222*x**2 - 6*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111516079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3998516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*x = 120*x - 4*f + 58, -3*f + 1335 + 151 = -34*x + 46 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 791 and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o + o - 118*o**2 + 6*o + 2*o as g + a*o**2 + f*o and give a.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 14, -5*z - 4 = -v - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16956*w - 5561571. Determine h(-328).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041829024 to four dps.\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.2 greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 35*b**2 + 1098*b - 16 - 77 - 47 - 123*b = 0.\nAnswer: -28, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/1105*-20*2\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -2*-1*sqrt(66)) + -1*sqrt(66)*6)\/(4*sqrt(12)\/sqrt(2)*3)*5.\nAnswer: -35*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522 + -514. What is the remainder when 5*q\/(-140) + (-6237)\/(-49) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-2 - -2) + (1 - 25). Let w be u*(((-180)\/8)\/(-5))\/(-3). Let g be (0 - (-532)\/(-21))\/((-6)\/9). Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l**3 + 1 - 2*l**3 + 14*l**3 - 16*l + (2*l**2 - 1 + 1)*(-4*l - 2*l + 4*l) to b*l + f*l**3 + o + c*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/8))**(1\/63)\/(v\/(v**(-1\/8)\/v)*v**(-12)) assuming v is positive.\nAnswer: v**(622\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 17 = 5*n + 2, 5*n = -x + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.77 - -15.17. Let o be (-2)\/14*(-1 + 4). Which is the closest to -1\/5? (a) q (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 14. Let o be -4 - (1 + (3 + -51)\/3). Let p be w(o). Let r = -0.2 + -0.8. What is the closest to r in 5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106589597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -23bc?\nAnswer: -23bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*j**5 - 143283*j**4 - 989*j - 185519?\nAnswer: -3560*j**3 - 1719396*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s - 20484783 = 2669897 - 5242980. What is s rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 507 and 639.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 766416.8 millennia in months?\nAnswer: 9197001600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217294 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: Simplify ((((a**(-2))**36)**(-8))**(-23\/5))**(-47) assuming a is positive.\nAnswer: a**(622656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 138?\nAnswer: -16\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 - 22*d**2 - 18*d**2.\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244893115.\nAnswer: 5, 2753, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -b4216?\nAnswer: b41b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) - (16120\/900)\/31?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207*d**4 - d**3 + 320*d**2.\nAnswer: 4968*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22322337 is divided by 321?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Let f(q) = -b - 2*q - 2*q + q**2 - q. Let o(x) = x**2 + x - 6. Let g be o(-4). Determine f(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 784.0927 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - -32?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - q = 18 - 3, 0 = -3*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 583190077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -4*h - 280. Let u be -3 + 1 - -6 - h. Suppose 36*w - 220 = u*w. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001952 rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 12 = -3*z. Let g(v) = -70*v**2 - 6*v + 32. Let q(f) = f**2 + f + 1. Let d(h) = z*g(h) + 6*q(h). Differentiate d(m) with respect to m.\nAnswer: -128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - n = 4, -n + 3*n = -5*z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*z - 80, 5 = 7*n - 4*z + 129 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h + 1 + 7*h - h**2 + 2*h**3 - 13*h - h**3. Let f(x) = -3*x**3 - 2*x**2 + 2*x + 2. What is 2*c(t) - f(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from nnag?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, -0.5, -0.57, -0.4, 11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 745 = -98*i - 124 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5075.217 and 4.1822907.\nAnswer: 5079.3992907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 - -1.06. What is the smallest value in 6\/11, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748698206?\nAnswer: 2, 374349103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1511664 and 7872?\nAnswer: 247912896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9985, -4, -5, 0, 4 in descending order.\nAnswer: 9985, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/35 (b) 3 (c) 2\/15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 + -125. Suppose 2*a = -4*o + 2 + 276, 0 = -3*a - w. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 11 + 2*u + 3*u - u. Let d be q(-6). Is ((-115)\/25)\/(d\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 788*w**4 - 1588*w**3 + 796*w**2 = 0.\nAnswer: -199, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517 (base 10) to base 14.\nAnswer: 28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*r**3 + 13*r**3 + 16*r**3 - 2 - 2*r to f*r + u + p*r**3 + a*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*u)*(-u - 3 + 3)*(584*u**3 + 348*u**3 - 165*u**3).\nAnswer: 2301*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32))**2 + -3 - sqrt(4)\/(sqrt(2) + sqrt(18))) + (5*(-3 + sqrt(72)) + 4)**2.\nAnswer: -2641*sqrt(2)\/4 + 1950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - n - 2. Let f be x(-1). Solve 7*o - 3*o = f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Let s(p) = p + l - 3 + 5. Let q be s(-5). Which is the smallest value? (a) q (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4399?\nAnswer: 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 102*z + 147. What is the lowest common multiple of 21 and l(0)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**3\/v)*v))\/(v*v\/(v\/v**(-2\/7))*v*v)*v**(-5\/6)\/(v*v\/(v\/(v*v**(1\/8)))))\/((v**(1\/3))**(-7)\/(v**(2\/5))**(-41)) assuming v is positive.\nAnswer: v**(-5247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1925457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*l + 4, 0 = -4*j + 2*l + 3 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 12297.\nAnswer: 135267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**3 + 2*a**2 + 2*a - 4. Let h(v) = -26*v**3 + 7*v**2 + 7*v - 12. Let n(j) = 2*h(j) - 7*l(j). What is the first derivative of n(f) wrt f?\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535614681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -6.1. Let y = -4 + g. Let f = 8 + -13. What is the smallest value in f, -0.2, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*o = 2*o - 149, -4*f = 3*o - 571. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**27)**41*(z*(z*z**(1\/3))\/z*z*z)**(1\/3)*(z\/z**0*z)**(-19) assuming z is positive.\nAnswer: z**(8635\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79362484 and 4289864.\nAnswer: 158724968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 182, 931, 2170, 3893, 6094, 8767, 11906?\n\"Answer: -m**3 + 251*m**2 + 3*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*x - 40, 4*x - 3 - 5 = 0. Let r = 23 - o. What is the derivative of r*k**3 - 3*k**3 + 1 - 3 + 3 wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 + 5*u + u - 13*u**2 + 6*u**2 + 10. Let r(j) = 4*j**2 - 2*j - 3. Let a(m) = m**2 - 22*m + 14. Let g be a(21). What is g*r(n) - 2*p(n)?\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163200621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**2*n - 8*g**2*s**3 - 5*g**2*s - g*j*s**2 - g*j - 2*g*s - j*n*s**3 - n*s**3 + 2*s**3 wrt s?\nAnswer: -48*g**2 - 6*j*n - 6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (-62 + (-26 - -166))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {r: 3, p: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599933 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -6. Let k = y - -20. Let m = -10 - -24. Solve m = -5*c - k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:37 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 13*y - 15. Let q be a(-11). List the prime factors of (-28)\/(-2)*72\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = -28*m - 2, 4*g + 10 = -5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (8 + -5 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1076.179211+-0.2\nAnswer: -1076.379211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 285\/1022 + 1\/146. Let t be -4*(-35)\/(-56)*8\/(-10). What is the third biggest value in -1, 2\/3, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/1*(-10)\/20. Suppose 32*n - i = 31*n. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -140, -1, -15, 4 in decreasing order.\nAnswer: 4, 3, -1, -3, -15, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84)\/sqrt(3) + sqrt(28)))\/(sqrt(256)*-1)*5 - (4 + sqrt(700)*-2 + sqrt(70)\/(sqrt(90)*2)).\nAnswer: -4 + 149*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - (7 + 23)) + -33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-70)\/(-20)))\/(5*-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*s + 13 = -671*s - 3*d, 16 = 4*s - 3*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/354294 and -137\/1062882.\nAnswer: 1062882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -80*p + 8. Let x(y) = 77*y - 10. What is 6*g(a) + 5*x(a)?\nAnswer: -95*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (77 - (29 - -1)) - 110?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*2*sqrt(132))\/sqrt(11))\/(sqrt(486) - sqrt(486)*-1 - -2*sqrt(24)))**2.\nAnswer: 18\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*k = -k - 103, -4*k = 3*u + 67. Let q be -4 + ((-576)\/u)\/6. Find z such that 4\/7 + q*z**3 + 2*z**2 + 2*z = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/3 (b) 1 (c) 5 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*p - 0*i - 2, 3*p = -i - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/10 - 7*r**2\/2 - 7*r. Differentiate a(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let r = q + 12. Calculate the greatest common factor of r and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6926672 to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 + 10*s + 3*s - 5*s**2 + 2*s**2 + 2*s**2. Is 12 a factor of z(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11436*q = 947248 + 287840 for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10291198 rounded to the nearest 10000?\nAnswer: -10290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647721665?\nAnswer: 3, 5, 191, 191707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 2915?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2389 - 2039. Calculate the greatest common divisor of 98 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, a: 2}. Give prob of sequence np.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 13*v - 60. Let p be q(6). Suppose -54 = j - 2*j. Calculate the highest common divisor of p and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97.7 - -93.7. Let q = 4 - 4. What is the nearest to -2\/19 in m, 0.1, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55202, -109888, -164574, -219260, -273946, -328632?\nAnswer: -383318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)*b\/b**22)\/((b**(3\/2)\/b)\/b**(6\/5)))**(-1) assuming b is positive.\nAnswer: b**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-726)\/(-14) + (-84)\/98. Calculate the greatest common factor of h and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 4, n: 2, d: 2, s: 1, r: 4}. What is prob of sequence dr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6*15*12\/108\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*r - 8, -5*h + 5*r = -0*r - 20. Suppose -h = -n - 0, -2*a + 4*n + 70 = 0. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.09 rounded to 1 dp?\nAnswer: 57.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-80))\/(((-375)\/(-70))\/15)*(-24)\/21\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 x, and 1 o when four letters picked without replacement from {x: 2, u: 5, o: 1, t: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.093787 from 0.14883.\nAnswer: 0.242617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -1684803999242?\nAnswer: 1684803999241.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 107 - 82 - 25 - 858*b. Let g(u) = u**2. Determine g(m(c)).\nAnswer: 736164*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*-1*sqrt(65) + sqrt(65))\/sqrt(180).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-14))\/k**3)\/(k*k**7*k\/k**0) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let f(b) = 2*b**2 + 0*b**n - b**2. Let u(t) = t**2. What is f(u(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(360) + sqrt(2) + -3 + 0 + -1 + (sqrt(384)*1)\/sqrt(12) + 0 + -5.\nAnswer: -9 + 31*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/12 - 3052291*g\/4 + 4578437\/6.\nAnswer: -(g - 1)*(g + 9156874)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 2*d + 32, -5*i = -3*d - 29. Let n = -13 + 14. Let y(a) = 7*a**3 - a**2 - a + 1. What is the least common multiple of i and y(n)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from eeellzlelzelnezzz?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68689168 and 4001.\nAnswer: 68689168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 9) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1) + 25 + 3 - -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from eyeyyyyyyhyhy?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6809, -6804, -6799, -6794, -6789, -6784?\n\"Answer: 5*i - 6814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:03 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3209340 and 7476.\nAnswer: 22465380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16 + 3 - 11*n + n**2 + 28 + 0. Give x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*j**4 - 2002612*j**3 + 285074074 wrt j.\nAnswer: 176*j**3 - 6007836*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275751.\nAnswer: 3, 7, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z*z**(1\/2)*z*z))**(-14)\/(z**(-1))**26 assuming z is positive.\nAnswer: z**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -402 (base 8) to base 3\nAnswer: -100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 36. Let a = -186618\/7 + 26628. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 11*s - 206394 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 - 6*v**3 + v**3)*(397 + 27 - 685) to l*v**3 + u*v + n + f*v**2 and give l.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 1, -0.04, -19946 in ascending order.\nAnswer: -19946, -0.04, 0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*-15*(-21)\/(-210)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19761 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1633360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5318 divided by -927.\nAnswer: 5318\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3288*a*p**2 + 9411*a + 3*p**2 wrt p.\nAnswer: 6576*a*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0\/(-3))\/(-3). What is the biggest value in k, 4, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -430*h - 12467. Let q be x(-29). Solve -w = q*d + 7, -10*d - 1 = -8*d - 3*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 31*u - 36 = 28*u, 0 = 4*y - u + 22 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39295649, -5, 4.\nAnswer: -39295649, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265890 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -64, -0.1, 0, 8, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -628.1 and -125.9?\nAnswer: 502.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 102*o. Let b(t) = 6*t. Calculate b(w(m)).\nAnswer: -12*m**2 + 612*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = -130 - 431. Is -35 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 1\/21*i**7 - i + 0*i**3 + 0*i**6 + 0 + 0*i**2 - 1\/4*i**4 + 0*i**5. Find the third derivative of h(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 28*x**2 - 4*x + 32. Determine q(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3401001 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 491100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - (21 - 9)) - (0 - 28).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -39 - -33) + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 4, p: 1}. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 253 - 102 + 518*o**3.\nAnswer: 518*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-2 - 5) + 7 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/30)\/((-9)\/(-15) + -1). Suppose k*f = 13*f + 157520000. What is f rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 14*t + 4*j - 18, 4*t = 3*j - 8. Is -1\/2601 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21965094 divided by 7321698?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + 0.370221.\nAnswer: 17.370221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 17*t**2 - 129*t + 426. What is i(23)?\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6527*u = -6529*u + 26 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 3*t**2 - 4 - 9 + (2*t - t + 0*t)*(-2*t - 2 + 2) - t**2 - t + t to the form b*t**2 + j*t + c and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24040 - 24045. Which is the smallest value? (a) m (b) -3\/478 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2049348, 2049401, 2049468, 2049555, 2049668, 2049813?\nAnswer: 2049996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4794.9999996519 - 4795. What is f rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417363721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 - 5?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -37*u - 16. Let j be y(-1). Let s = -1375 - -12343\/9. Calculate the common denominator of s and ((-3)\/((-63)\/(-22)))\/((-7)\/j).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 67. Solve z - i*o = -z - 10, 5*z + 13 = -o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -i + 5*i + 2, 5*d = -4*i + 46. Let k be ((-4)\/d)\/(((-624)\/1952)\/(-13)). Which is smaller: k or -26?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxxdxxxx.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -23. Suppose -3*q + 411 - y = -5*z, -5*q = 4*z - 605. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + t - t + (2*t - 3*t - t)*(0*t**2 + 5*t**2 - 2*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(1 + 0 + sqrt(12)\/sqrt(4) + -5 + 2))**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 115 = -s - 98, 2*s + 5*y - 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -66*w + 18. Let n = -1851 + 1856. Let k(z) = -19*z + 5. Give n*u(m) - 18*k(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -45*q**3 - 45*q. Let m(d) = d. Calculate 45*m(o) + n(o).\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - -1) + 2\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8091 take away -0.0429?\nAnswer: 8091.0429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670133663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 9. Let d = -4 + w. Let v = 0.389 - 2.389. Sort v, d, -4 in decreasing order.\nAnswer: d, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from hzzzzzzzhzz?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 414*h**4 + 11697*h**3 - 65670*h**2 + 108828*h - 55272 = 0 for h.\nAnswer: -94, -49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704))**2*5 + -5 + (4 + sqrt(1584) + 1)**2*3.\nAnswer: 280*sqrt(11) + 8347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31736068, -31736090, -31736112, -31736134?\nAnswer: -31736156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 1045. Let a(d) = 32*d - 4179. Let s(o) = 2*a(o) - 9*l(o). Let t(n) = -n**3 - 8*n**2 - 7*n. Let i be t(-7). Is s(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/5 of a hour?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6132459?\nAnswer: -6132458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256009 or -256005?\nAnswer: -256009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10326\/7 - 565123\/385. Let p = d + -36\/5. Let z be (2 + -4)\/(-2 - -16). What is the closest to 0 in p, -4, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641322218?\nAnswer: 2, 2857, 112237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 99*u + 380 = 0. Which is the second smallest value? (a) u (b) 0.5 (c) -7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 815*y + 819*y - 9*y**3 + 0 to the form i + t*y**2 + j*y + n*y**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 225498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 144 = 4*j, 2*j - 5*a = 60 + 12. Solve 0 = 5*r + 3*f - 8, 4*r - 8*r + 5*f = -j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - (-1386)\/(-1383)). Suppose -31*r = 2*n - 29*r - 456, -3*r = -2*n + b. What are the prime factors of n?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2\/2 - 9. Let m(p) = -8*p**2. Determine m(z(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -9*h + 12*h, 0 = -3*h - v - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - w = 116, 0 = -3*n + 2*n + w + 26. What is the smallest common multiple of n and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 57*k - 2. Let v be j(-1). Let p = v + 167. Suppose -6 = -3*w, -5*w = 5*n - w - p. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 9*k**2 + k + 9. Suppose 2*c + 13 = 5*x, 4*x + 31 = -4*c + c. Let b be s(c). Let f = 7 + -2. Solve 0*a + a - f = b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*d + 247 = -0*d, 5*k + 5*d - 415 = 0. Suppose 4*n = -5*q + k, -2*n - 3*q - 2*q + 53 = 0. What is the greatest common divisor of n and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x - 4. Let a(s) = 5*s - 15067. Give h(a(l)).\nAnswer: 60*l - 180808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5 + 7. Let d = q - -4. Solve -d*p + 25 = -5*u, -4*p + 13 = u - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -354 - -353. Is j smaller than -3\/5806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - z = 25, d + 7*z - 1474 = -1703 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - p - 15, 4*p = -5 + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 4 + 5*p)*(-1 + 1 + 2) - 412*p - 447*p + 53*p - 227*p.\nAnswer: -1027*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/3)*g)**(12\/17))**(-48))**(1\/7) assuming g is positive.\nAnswer: g**(-192\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 64621*p + 1397. Let q be v(-7). What is q rounded to the nearest one thousand?\nAnswer: -451000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4194 + 4239. Calculate the highest common divisor of 549 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 990*x = 31*x + 124680 for x.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*a - 4 + 12 - 8 in the form v*a + d and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 6) to base 9.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.546 + 0.486. What is the nearest to -1 in 2, d, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90118710 divided by -342?\nAnswer: 263505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -5\/3 (c) -2\/21 (d) -18 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.1 - -5.7. Let i = -20.579 + b. What is i rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132211331 + -11?\nAnswer: -132212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 428620.5396 - 428504. Let k = f - 133.53. Let a = k + 17. What is a rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 9*d - 18*d)*(-3 + 1 + 1)*((1 + 2 - 2)*(0 - 1 + 0) - 5 + 2 + 2)*(-3*d + d + d).\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129008512 and 20?\nAnswer: 645042560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 7*i + 1. Let t(s) be the third derivative of s**5\/30 - s**4\/4 - s**3\/6 - 21*s**2. Give -5*g(p) - 6*t(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6918*z. Let h(x) = -8*x**2. Determine m(h(k)).\nAnswer: 55344*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7036 - -13409. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10640 and 20672?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 + 237*i**2 + 29*i. Give v(34).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3361985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-3)*(-9 + -1). Let j be (45\/(-4))\/((-15)\/u). Suppose 8*o = 3*o + j. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78661763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2264 divided by 566\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7819*w**3 + 3818*w**2 wrt w.\nAnswer: 46914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/14 + (-62)\/217?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1621867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*t - t - 89, -85 = -3*v + 372*t - 374*t for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and 251.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 857 + -2572\/3. What is the second smallest value in 0.1, s, -2, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2426365 (base 11) to base 6\nAnswer: -230320152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336 + -426. Let q = g + 1446. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581 a factor of 981460473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h - 2*h + (0*h + 0*h - h)*(2 - 4 + 0) + 3*h - 2*h + h + (-h + 4*h - h)*(18 + 0 - 6) - 4*h + 4*h - 4*h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 76, 67, 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-70))\/(8\/(-20)). Let y = -9 - -13. Which is the closest to -2? (a) j (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-3)\/(-9)*3. Suppose -2*j - 8 = 2*j. Which is the nearest to j? (a) -4\/3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*l**2 - 15*l**2 + l**2 as d + g*l**2 + t*l and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 0.3 (b) -3\/32 (c) -0.7 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 4*x**2 + 3*x**2)*(0*x + 0*x + 2*x) - 40 - 2*x**2 + 40 + 8*x**3 to v + m*x**2 + a*x + w*x**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121001142 + 4?\nAnswer: 121001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(((-1530)\/(-432))\/85).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*n = -149*n + 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*k - 998 = -4*d, 980 = 4*d + 4*k. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402327, -804654, -1206981, -1609308, -2011635?\nAnswer: -2413962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/20, -15, -8\/3, -0.4?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**3 - 2*j**2 - 5*j. Let d(t) = 17*t**3 + 5*t**2 + 13*t + 1. What is -3*d(g) - 8*h(g)?\nAnswer: -3*g**3 + g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -351 (base 8) to base 15\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4. Let j = -31 - -32.7. Let o = j + -1. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361104 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 = 43. Let f be 4\/3*9\/w. What is the first derivative of -f + i - 1 + 4 wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(2) - ((sqrt(2) - sqrt(8)) + sqrt(2))) - sqrt(36))\/(-5*sqrt(12)*-1)*3*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 60*v - 55*v. Let n(o) = o - 5. Let b be n(6). Let i(f) = -f**2 + 9*f - 1. Let y(t) = t**2 - t. Let d(x) = b*i(x) + 2*y(x). Determine d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 + 5. Let f be x(-4). Suppose -4*w + 2*k - 87 = -3*k, f*k - 41 = 2*w. Let d = w + 36. What is the highest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -550\/3 - -190. Suppose 0 = 5*p - 4*d - 5 - 7, 3*p = -3*d + 18. Calculate the common denominator of c and ((-14)\/12)\/(p\/64).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.000636010387 - 0.01.\nAnswer: -4.010636010387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = r. Suppose 4*m - 2*m - r = 0. Let q(d) = 48*d - 15. Is q(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -447*y + 981. What is the tens digit of v(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10124?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46165803?\nAnswer: 3, 1033, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 1360*r - 115600.\nAnswer: -4*(r - 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875750 and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.2. Let d = 8487\/514 + -3\/257. Let g = -17 + d. What is the closest to z in -4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-4))\/(14644\/81556). Let r = 2\/3661 - f. What is the common denominator of -11\/6 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.49 in 0, 2, -2270?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1810, 7238, 16294, 28978, 45290?\n\"Answer: 1814*m**2 - 14*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Suppose 2*h = 2*m + 4 + 8, 0 = 3*h + 3*m + 12. Suppose -4*t + 5*u = -h, 3*t - 2*u - 7 = -1. Let k(d) = 7*d - t*d - 3*d - 2*d. What is w(k(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 1 + 2*o - 3)*(o + 7*o - 6*o) to the form t*o + i + n*o**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 11, v: 1, f: 2, w: 1}. What is prob of picking 3 l?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-50))\/((-24)\/(-16))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 673129.6m?\nAnswer: 673129600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b + 10 = -73*b. Let w be (-19 + 9 - 2)*1\/b. Solve w = -4*g - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 - 2*s + 2. Give i(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34165.5ml to litres.\nAnswer: 34.1655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(-49 - 4 + 21)*(6*z**2 - 3*z**2 - 2*z**2) in the form h*z**2 + a*z + g and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 12554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q + 2*q)*(323*q + 738*q - 431*q)*(-q - 1 + 1).\nAnswer: 1260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 = z + 2, -4*z = -5*w + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4, 3 = -41*y + 45*y - w. What is the third smallest value in 0.4, 0.05, -8, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 7*g - 5. Let f be t(-6). Solve -k + 7 = 4*i + 26, 5*k - f = 4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/45*807\/9 + 25\/125?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376188 divided by 125396?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24)*(j*j\/(j*j**(1\/32)*j)*j)\/j*j)**(2\/3) assuming j is positive.\nAnswer: j**(-737\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121332?\nAnswer: 2, 3, 7, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - -0.37. Let i = 1.65 + u. Let s = -1.5 + i. Sort 1\/7, s, -0.2 in descending order.\nAnswer: s, 1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1839, -3723, -5621, -7539, -9483, -11459?\n\"Answer: -a**3 - a**2 - 1874*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - b + 632*b**2 + 619*b**2 + 641*b**2 + 632*b**2 - 2525*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -19. Let r(j) = -j. What is the units digit of r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153093800 rounded to the nearest one million?\nAnswer: 2153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27941\/15 - 5588\/3. Let t(l) be the second derivative of 0 + b*l**4 + 0*l**3 - 1\/50*l**6 + 0*l**2 + 0*l**5 + 1\/210*l**7 + 16*l. Factor t(g).\nAnswer: g**2*(g - 2)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7970471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2171*l**2 + 8. Let h(x) = 4345*x**2 + 18. Give -3*h(t) + 7*w(t).\nAnswer: 2162*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**2 + 228*c - 56. Let k be v(25). Solve -4*g + k = 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 47 = 3*v + b, 3*b = -5*v - 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785026 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(76)*1 - sqrt(76)) + -1*sqrt(76)*-6)\/((sqrt(2800) + (sqrt(2800) - -4*sqrt(2800)) - sqrt(2800))\/sqrt(7)).\nAnswer: -sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 470806684 a multiple of 2531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2319 or -2318?\nAnswer: -2318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -359*i**3 - 58*i**2 - 21565*i + 2?\nAnswer: -2154*i - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178504*o - 178504*o + 725*o**2.\nAnswer: 725*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = j - 164, -4*x - 3*j - 187 = 469. Let u = 244 + x. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, c: 1, v: 4}. Give prob of picking 2 v and 2 y.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i**3 + 124 - 322 - 51 - 17*i**3 + 128 + 121.\nAnswer: 46*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323.97 rounded to 0 decimal places?\nAnswer: -2324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v. Suppose v = 3*p - 2*q - 226, -3*p - 4*q = -8*p + 374. Let w = p + -44. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 198222675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -607.9 + 933. Let h = -325.10001399 + s. What is h rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 8. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 64, 143, 244, 361, 488, 619?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 + 2*g + 1. Suppose -l = -v, -4*v = 4*l + l + 9. What is u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 3, -0.0518, 0.3, -2?\nAnswer: -0.0518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691759 is divided by 8436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24937264 is divided by 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1417.5 times -2265\nAnswer: -3210637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10224, 81878, 276382, 655164, 1279652, 2211274?\n\"Answer: 10238*q**3 - 3*q**2 - 3*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1509 = -2*z, 5*z + 10*r = 5*r + 3780. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let c be o(0). Let t be ((-1)\/c)\/((-10)\/8). Sort -0.1, 4, t in descending order.\nAnswer: 4, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 9*c**2 + 12*c - 18. Let g be i(9). Suppose -g = -9*k + 54. Solve 3*y - 3 = -s + 8, 4*s - 3*y = -k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/7 or -2.36?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 93*a - 911. Is m(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 52, -2\/3, 0, 2, -2\/17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100066546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v + 2. Let y be l(-2). Let i(u) = -u**3 + 7*u**2 - 6*u - 7. Give i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:51 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 - 5*m. Let s(c) = -4*c**2 - 3*c. Suppose f + 2*f = -2*q + 3, 2*q - 2*f = 8. Calculate q*j(l) - 5*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 8.9\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 38*i - 3 = -35*i, 5*i = 25 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*s - 12 = 0, -g + 0 = 4*s + 6. Suppose 5*d + 2*p + 16 = -0*d, -g*d = 4*p. Which is greater: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k + 5. Let u(m) = m**2 - 6*m - 6. Let q(l) = -6*c(l) - 5*u(l). Let g(j) = j**2 + 2*j**2 - j**2. What is g(q(o))?\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 115\/55 - (-2)\/(-2). Let h = 1113\/11 - 101. Determine i, given that 18\/11 + h*i**2 - r*i = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z*z**(5\/3))))\/(z*z**(-13\/7)*z) assuming z is positive.\nAnswer: z**(95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 283 in -90, 0.92, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97063.\nAnswer: 29, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 - 17.1. Let s = c + 13.99. Let b = 0.034 + s. Round b to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 4*m**2 - 26*m**2 - 6*m**3 + 6*m**3 - 11 - 17 to t*m + w + o*m**2 + i*m**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -348.4 + 417.4. What is the fifth biggest value in -4, h, 0.5, 1\/9, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.07, -1\/5, 2\/5, -3, 0.005, 2, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - (12 - 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by (13 + 115\/2)*(-8)\/(-6)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = n + 4*k, -3*n - k - 2 = 20. Calculate the remainder when 198 is divided by 21\/1 - (1 + (-9 - n)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.4, 222, 0.4, -2\/5, 1\/6 in decreasing order.\nAnswer: 222, 4.4, 0.4, 1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*s - 16 = 11, -2*j - s + 3 = 0. Let w be 0*(-2)\/(2 - 0). Let m = w + 2. Solve t + 15 = -m*t, -3*g + 21 = -j*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 43) + -238 + 312?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, d: 7}. Give prob of sequence dd.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10931 and 1666.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -1\/4*n**4 + 1\/2*n**2 - 3 + 3*n**3 - 2*n. Give l(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*p - 43, -8*s + 26*s - 5*p = 9*s + 6*s - 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((39\/6)\/(-1))\/((-4)\/(-14)*(-287)\/(-492))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from tbbittbitttttittbgt.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 - 786*b**2\/7 + 12210*b - 1574350\/7.\nAnswer: 2*(b - 185)**2*(b - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073248538 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 255332?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242465, -243217, -243969, -244721?\n\"Answer: -752*n - 241713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-105)*9\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*y - 26 = 0, 94*y - 48 = -4*a + 99*y. Let f = 3 + 0. Solve -5*w + f*w = a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {o: 3, w: 5, u: 2, n: 2}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53140104929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-3 - (36 + -17 + -7))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8669027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3717995715 - 0.3718. Round l to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/143 and 11\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 217011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -0.52. What is n rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -14?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 42.8555?\nAnswer: 42.9555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7264.4370343246 and 0.3.\nAnswer: -7264.1370343246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 + 34*m**3 + 3536 + 2*m + 2107 - 72*m**3.\nAnswer: -2*m**3 + 2*m + 5643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 57745645 divided by 5\nAnswer: 11549129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1741 + -3481\/2. Which is smaller: -0.136 or l?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - 8. Let v = -454\/99 - -48\/11. Which is the biggest value? (a) v (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + sqrt(833) + 2)) + -5)**2 - sqrt(833).\nAnswer: 91*sqrt(17) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 4*w + 21. Let c(n) = -n**2 - 4*n - 2. Let a be c(-4). Let r(o) = o**2 - o - 4. Let v(q) = a*h(q) - 11*r(q). Find p such that v(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 101. Let i = 14 + -10. Suppose 4*d = -i - 20. Is d bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:52 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) 2\/7 (c) 4 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 20. Let s be x(10). Let b(l) be the second derivative of 1\/42*l**4 + 0 + s*l**2 + l + 2\/21*l**3. Solve b(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 11\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + y**3)*(-2*y + 1 - 1) + 11 - 11 - 7*y**4 + y - y + 3*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 54 = -5*p, -214*l - 4*p - 120 = -218*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26240 and 259770752.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 5 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1776*h - 24. Let w(t) = 43*t. Give w(p(c)).\nAnswer: -76368*c - 1032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a factor of 68827662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -210220000?\nAnswer: 210212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-46)*(-2)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 46 (b) 0.5 (c) 0 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = 3*h. Let j = h + 13. Find the second derivative of 0*l - 4*l + j*l**5 - 8*l**5 wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (-71 - -75)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18166 (base 9) to base 15\nAnswer: -3aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x - 3 = 0. Suppose -5*c - 8*g + 16120 = -x*g, -4*c + 4*g + 12888 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 2 y when four letters picked without replacement from hggghhgzyyghhgzhzy.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyyvvyyyyvy. Give prob of sequence yvyy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1996*k - 1763*k - 1755*k + 5527*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120112022000022 (base 3) in base 8?\nAnswer: 37367131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 - 11137*m**3 + 7222*m**2 wrt m?\nAnswer: -60*m**2 - 66822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25429946 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 1\/4, 4839, -0.2 in decreasing order.\nAnswer: 4839, 2, 1\/4, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-936)\/702 - (-163639)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 - 5 - 0. Let j be (-1)\/((-192)\/(-63) + t). Let z = j + 13. Is -9 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1491 divide 1218418362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 39, 80, 145, 240, 371, 544, 765?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let i = -14 + 25. Let r(o) = 1 - i*o**2 - 1 + 12*o**2. What is r(u(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*v - 1251*v + 5*b + 5 = 0, -84 = -4*v + 20*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 818, 3987, 9260, 16631, 26094?\n\"Answer: -z**3 + 1058*z**2 + 2*z - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004958262 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(10\/(-5))*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + 453\/12. Let p be (-4)\/(12\/(-57))*1. What is the greatest common divisor of y and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 - 127. Let t = 193 - a. Let s be (-65)\/t + -1 - 2\/(-11). What is the closest to 12 in 1\/6, s, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/((-3)\/30*30\/(-27)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 4. Calculate the lowest common multiple of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(6)*1 + sqrt(6))*2 - sqrt(6))*-1)\/((sqrt(1152) - -2*sqrt(1152))\/(sqrt(162) - ((-2*sqrt(162) - sqrt(162)) + sqrt(162)) - sqrt(162))).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 4*b**2 - 4. Let d be f(-3). Suppose 2*s + d*s = 749. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-178)\/(-5) + 2\/5. Suppose -6*r - 4356 = 27*r. Let o be (119\/11 + (-24)\/r)\/1. Solve 5*w - h = -o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3476\/(-110) + 4\/(-10). Let w = 34 + o. Solve g - 8 = 4*b, 0 = -w*g - 2*g + 5*b + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 358825, 359020, 359215, 359410?\n\"Answer: 195*l + 358630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Solve 0 = 2*w + 2*j, -3*w + 10 + 2 = -d*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -52. Solve -6*a + a = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 15, -4*x + 21 = 3*b - 7*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 9, c: 3, b: 4}. Give prob of sequence bb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 6*k - 15. What is the greatest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/60 + u**5\/20 - u**4\/8 + u**3\/6 + 3*u**2. Let l be n(2). Let x = -6 - l. Solve -3*z + 12 = 3*f, 0 = -x*z - f + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.1, -0.4, 5, 0.0962?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(275) + sqrt(275) + -3) + sqrt(275))**2 + -2 - (((sqrt(275)*3 - sqrt(275)) + 0 - sqrt(275)) + 4))*-3.\nAnswer: -7515 + 555*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 888150906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 165 - 358 = -153. Solve -16 = w + 3*b, -2*w - 2*b - 24 = f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 + 5 = 0. Suppose d + 5 - r = 0. Calculate the remainder when 4 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 2, u: 1, o: 2, v: 1, c: 2}. What is prob of picking 2 i, 1 o, and 1 u?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 + 1 + 95930\/8. Suppose 20*n - 18587 = g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 5*h + 5. Let w(g) = g**2 + 2*g - 2. Suppose 2*q + 414 = t + 439, -5*q = t - 52. Calculate q*w(d) + 4*o(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 92498 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6852622*q**4 - 2*q**2 - 2*q - 27805726?\nAnswer: 164462928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2478, 4646, 6814, 8982, 11150, 13318?\n\"Answer: 2168*v + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*p - 2021*p + 45*p**2 + 684*p - 117*p**2 + 655*p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 22.03. Let h = -4445698.00059 - -4445676. Let f = o - h. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06288147 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 121, 283, 521, 841?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -25*i**5 + 39*i - 13. Let o(q) = 13*q**5 - 20*q + 6. Let j(h) = -13*o(h) - 6*u(h). What is the second derivative of j(s) wrt s?\nAnswer: -380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1312 divide 14246870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41350524.\nAnswer: 2, 3, 67, 51431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -6, 4 in decreasing order.\nAnswer: 4, 3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1\/(3\/(-15)). Find the first derivative of c - 5 - y + 3 + 3 wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 5*d**2 + 21*d - 5. Let s(f) = f**3 + 3*f**2 + 21*f - 3. What is 3*s(c) - 2*x(c)?\nAnswer: -c**3 - c**2 + 21*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 53*f - 2 = -2*g, 4*g = -2*f + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2007*i**3 - 2006*i**3 - 199 - 8*i**2 + 270.\nAnswer: i**3 - 8*i**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**3\/30 + 233*c**2\/10 + 467*c\/10 + 1575. Factor l(y).\nAnswer: -(y - 467)*(y + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21643 times 2\nAnswer: 43286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 2, v: 2, o: 9}. Give prob of picking 1 g and 1 o.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-722)\/(-6) + 4\/(-12). Let v = h + -86. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 5. Let h be (-1)\/(-3) + (-156)\/(-18). Let b be m(h). Determine w, given that w - 6*w**3 - 14*w**2 + b*w**3 - 5*w = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h - h + 2 - 4*h + h + 2*h + (0*h - h + 2*h)*(-2 - 2 + 2) - 8*h + 3*h + 3*h)*(2*h + 4 - 4).\nAnswer: -16*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 10*y**2\/3 - 3*y.\nAnswer: -y*(y + 1)*(y + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 5*(-2 + sqrt(363) - sqrt(363)) - (sqrt(363) - (sqrt(363) - (-2 + sqrt(363)*-2))) - (sqrt(363) + 4 + -3)*-5)**2 + 2 + 5.\nAnswer: -594*sqrt(3) + 29419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 4. Let b be (3 - 3)\/4 + 2. Let j be d(b). Solve j*k + 10 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 - -0.03?\nAnswer: -737.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-2)\/8*2. Let u = -0.01 - 4.99. Let l = 7 + u. What is the closest to y in 0.2, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 3. Let p be z(3). Suppose -3*t + 6 = 0, 0 = 2*u - 5*t + 6*t - 42. Suppose 5*f = f. Solve f = 5*x - p + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*967*9\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*b = -897*b + 16*b - 9940 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 45*l - 9. Let m(z) = 40*z - 8. What is -7*d(i) + 8*m(i)?\nAnswer: 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000139 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r + 16. Let t = r - -9. Determine l, given that l**3 - 3*l**3 - 2*l**2 - t*l**3 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-18)\/(-4)) - -1. Put -3, z, -12 in descending order.\nAnswer: z, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/21))**(-5\/3)\/((h**(1\/3)\/h)\/h**19) assuming h is positive.\nAnswer: h**(1234\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 58*z**2 + 80*z**2 + 0*z**3.\nAnswer: -z**3 + 138*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 8*j**2 + 4. Let g(c) = c - 2. Let x be g(3). Let v(s) = s. Let m(k) = x*v(k) - r(k). Is 4 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1371877 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 906897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 77 = 287. Find the common denominator of -1 + 6\/4 + (-2156)\/224 and -4 + g\/(-44) + 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -767, 2\/13, -7, -229, 3 in decreasing order.\nAnswer: 3, 2\/13, -7, -229, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 131.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 5*r**2 + 3*r**2 + (10*r - 13*r - 15*r)*(2*r + 4*r - 5*r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19250127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12327 is divided by 1235?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161293 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 133.56. Let s = y + -1.94. Let u = 5 + -1. What is the nearest to 0.06 in u, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 1 - 1)*(16 + 0*f + 7*f - 5*f).\nAnswer: 4*f**3 + 32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 21293678?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59778 by 81.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12 + 2*k - 2*k - k + 32. Let r be i(14). What is the third derivative of -14*w**2 + 2*w**2 - w**r + 5*w**2 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 - 4 + 4 - 3*f + f + 5*f**2 - 3*f**3. Let j(d) = -d**3 + d**2 - 1. Let l(t) = -3*h(t) + 6*j(t). Solve l(p) = 0 for p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10644\/6163?\nAnswer: 10644\/6163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31792.77l?\nAnswer: 31792770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*h**4 + 304*h**2 + 2*h + 182970 with respect to h.\nAnswer: 384*h**3 + 608*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 16. Let a be 2\/(1*t\/(-30)). Let u = 94 + a. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 1.2. Let o = -2\/201 + 209\/804. Is o bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12921795179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -552 (b) -1\/6 (c) 2\/5 (d) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/81971414 and 57\/141770?\nAnswer: 409857070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -275812 divided by 2602\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1439748\nAnswer: -4319244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 206. Let u = -9 - -44. Let o = v + u. Which is the second smallest value? (a) 2 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.035672, 2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -14, 12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 353 + 41 = -4*g + 18*h, 4*g - 390 + 38 = -4*h for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-8 - 20) + (-56 - -26)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 5\/6 (c) 2513 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 16) to base 11\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 3*x, -x = -2*x + 2*v + 4. Suppose 0 = -7*t - 5 - 9. Put 5, t, x in decreasing order.\nAnswer: 5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 - 290 = 7*g. Suppose -4*r + c + 802 - g = 0, -2*r - 4*c = -344. List the prime factors of (r\/(-8))\/((-3)\/8).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 15*f**2 + 13*f + 10. Let s be p(14). Let z be (-166)\/(-2) - (2 + 2 + s). Let v = 278 - z. What are the prime factors of v?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*v, 0 = -2*l - 3*v - 18 + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -182792 divided by 4?\nAnswer: -45698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 6*m + 7*m + m - 10 in the form j*m + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/9 - -23\/18. Let y = 55.7 + -56. What is the third smallest value in t, -2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - u + 64 - 66, i - 6 = -4*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 + 8 - 3 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.227 - 2.46146629.\nAnswer: -2.23446629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 726111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 295264093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 169512*m**3 - 49*m**2 + 1274. Let q(n) = -7063*n**3 + 2*n**2 - 52. Determine -2*f(a) - 49*q(a).\nAnswer: 7063*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 834, 1624, 2414, 3204, 3994?\n\"Answer: 790*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.528 - 0.828. Which is the closest to 0? (a) f (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = 0, -3*s + 81 = -g - 2*g. Let a = s - 16. Calculate the remainder when 21 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*y - 5*s - 16, -4*s - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose -t*g = -7*g + 10. What is the remainder when 32 is divided by 0 + g + 7 + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23285*w**4 - 26*w**2 + 687 wrt w?\nAnswer: -558840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-12) + 1 + (-15)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.2, 61839, 7, -5, -1\/9?\nAnswer: 61839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, w: 5}. Give prob of picking 3 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.3 (c) -2\/11 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/8091 and -113\/68724.\nAnswer: 61782876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 27 = -63. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 2. Let s(q) = 5*q**2 - q - 6. Let o(a) = 3*s(a) - 8*v(a). Let g be o(-2). Suppose g = -h + 21 - 9. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 197.82?\nAnswer: 3560.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 189*o + 32 = 187*o, -3*a + 42 = -6*o for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -29, -57, -95, -143, -201, -269?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 15, y: 3}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 1295, -8, 0, 5, -3, -2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3414, -4709, -12832?\nAnswer: -20955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/4 - 1760643*a**2\/4 + 4401597*a\/2 - 1760638 = 0?\nAnswer: 1, 4, 1760638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*c = -436*c - 412*c + 41586 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552549?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 4\/9, -0.5, 5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 527248 divided by -8\nAnswer: -65906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:12 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 86765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-12) - (-15420)\/(-2880) and 27\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1720*r - 5592*r + 47*r.\nAnswer: -7265*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 - -310. Suppose 5*w = j, 2*w + 552 + 66 = f. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3 + 2. What is the nearest to 1 in 1, -4, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 7*t**2 + 3*t - 10. Let n be h(-6). Suppose -2*u - 3*u + 95 = 0. What is the greatest common factor of n and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1028 - 1025. What is the fourth smallest value in -4, -1\/2, 10\/57, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*q - 24 + 35*q + 15*q to the form u*q + l and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -879 or -11421\/13?\nAnswer: -879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585133000 rounded to the nearest one million?\nAnswer: 585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4028 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2843024402 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 3*q**2 + 2*q**3 - q + 6*q - 3*q**2 + 2*q**2 to f*q**3 + i*q**2 + l + t*q and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 1, -1222, 9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 19 = -2. Suppose -3*v = -p - 5. Calculate the least common multiple of v and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 1589691.5.\nAnswer: 1589685.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (126 + -83 + -61).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 8)*(7 - 3 + 13)*(-25 + 25 + 9*j**2).\nAnswer: -1836*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x + 187. Let i be j(-30). Factor 11 - i - 9*g**3 - 12*g - 2*g**3 + 5*g**3 + g**4 + 13*g**2.\nAnswer: (g - 2)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 9082554*s**2 + 3*s + 9082554 = 0. Calculate s.\nAnswer: -3027518, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 480*y**3 + 1017*y**2 - 2341*y**3 - 1019*y**2 - y - 2 in the form d*y**2 + s + q*y + k*y**3 and give k.\nAnswer: -1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 4. Let f be r(9). Let m(b) = -2 - 7*b - 1 + 2 - 2. Let v(q) = 4*q + 2. What is f*v(h) - 3*m(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -2\/7, 333, 0.4 in ascending order.\nAnswer: -2\/7, 0.4, 95, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4735, -9183, -13631, -18079, -22527?\n\"Answer: -4448*k - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 2*m - 3*m)*(-5 + 4 - 1) + (4 - 1 - 1)*(5*m - m - m) + m + m + 0*m as b + z*m and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -331526, -662918, -994320, -1325738, -1657178?\n\"Answer: -s**3 + s**2 - 331388*s - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005176168 to 6 decimal places.\nAnswer: 0.005176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3858*t**2 + 88*t**2 - 7659*t**2 + 610*t**2.\nAnswer: -10819*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 7*o. Is 5\/11 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2955779 to the power of 1\/2, to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 36*d**2 + 136*d - 87. What are the prime factors of l(-17)?\nAnswer: 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 474\/24 - (-2)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**2\/5 - 75324*f\/5 + 150672\/5 = 0. What is f?\nAnswer: -12556, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1624\/(-336) - (-2)\/(-12) - 36\/(-7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -163? (a) 4 (b) 0.04 (c) -6\/55 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen sevenths of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 31. Let u be x(17). Suppose -4*k - 19 + u = 0. Let j(q) = 10*q + 1. Let d(t) = 9*t + 1. Let r(y) = k*j(y) + 5*d(y). Calculate r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 13 + -4 - -3626 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:30 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 10*f**2 + 12*f + 19. Let k be r(-8). What is the highest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020430 + -21232?\nAnswer: 444143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803352, 803340, 803328, 803316?\nAnswer: 803304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 25*k + 76. Suppose 182*j + 14 = 179*j + 5. Determine y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23235 * 14\nAnswer: -325290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87\/58*(-8)\/(-6). Let x be (j - (3 + 2 + -3))\/(-1). Put 0.5, 22, x in ascending order.\nAnswer: x, 0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73554*o**3 + 37581*o.\nAnswer: 441324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 11*s**4\/24 - 31*s**3\/6 - 74*s**2. Let p be o(3). Solve 3 = -h + 4*h - 4*w, -14 = -4*h + p*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 19*y**4\/4 - 20*y**3\/3 - 8. What is the third derivative of n(u) wrt u?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 - 56. Let n(q) = 14*q. Determine n(p(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - -7.16. Let t = 9 - h. Let y = t + -2.1. What is the third biggest value in 4, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323560?\nAnswer: 2, 5, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -12. Let t = 115 + -112. Solve 5*a = z*k - t, -a - 2*a = k + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 267. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 448*f**2 - 6261*f - 142. Give t(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -13*u + 0*u**2 + 4\/39*u**3 + 0 - 1\/78*u**4. Suppose y(i) = 0. What is i?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 136 and -0.4.\nAnswer: 135.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2845 in -0.1, -85, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986 - 188 = -7*b. Let j be (-1 - 1)\/(19\/b). Suppose -5*k = -11*k + j. Solve 0 = -x + 4*o, k*o - o = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 5, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20546*g = 20549*g - 12, 2*g + 17 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/12)*h**(-5\/2)\/h assuming h is positive.\nAnswer: h**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/6 - 326*a**3\/3 - 1949*a**2\/6 - 649*a\/3.\nAnswer: -a*(a + 1)*(a + 2)*(a + 649)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31.38 + -1326510508\nAnswer: -1326510476.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 1, b: 9, m: 1, s: 2, d: 3}. What is prob of sequence gt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314812 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(3630))\/sqrt(10)*5)**2.\nAnswer: 326700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487585*w + 7242 = 1487798*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7713430628 to the power of 1\/3, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 0 - -4 - -2. Let v(w) = 2*w**2 - o*w**2 + 2*w**2. Let a(p) = -126*p + 67*p + 60*p. Determine a(v(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -22. Let t = k + 1. What are the prime factors of (t + -3)*(0 + 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 175 + 230 = 681 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -146689*c**6\/240 + 49407*c**5\/40 - 32*c**4 + c**3\/3 + 732*c**2. Determine s, given that d(s) = 0.\nAnswer: 2\/383, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-473)\/2376 - (-2)\/(-5)*(-280)\/1512.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3996 and 108.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(11)*2)*5)\/(4*sqrt(12)\/sqrt(3) - sqrt(256)*-1).\nAnswer: 5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15681, -31340, -46997, -62652, -78305?\n\"Answer: x**2 - 15662*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.321 and -423.\nAnswer: 558.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Let j = 43 - 39. Suppose -j*p + 3*z + 285 = 0, 0*z + r*z = -3*p + 195. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/22)\/(1446\/22251). Let g = 17\/241 + n. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 826 (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 15. Let z be (2\/5)\/(w\/(-345)). Let r = 83 - z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 2*g - g)*(0*g + 4*g + 2*g) - 16*g**2 + 19*g**2 - 9*g**2 - 2*g in the form r + n*g + o*g**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000361793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -15639.\nAnswer: -2\/15639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(4*(-6)\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117896447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92753948 by -114229.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 + 232. Suppose l = -21*f + 2*f + 16264. List the prime factors of f.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/13 in -1\/9, 3, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 24*f + 46 - 86)*(3 - 7 + 2).\nAnswer: -48*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330167805?\nAnswer: 3, 5, 11, 1307, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*w - 716 - 286 - 706 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44210 (base 13) to base 10\nAnswer: -123383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 7. Let v(a) be the first derivative of 9*a**2 - 5*a + 5. Calculate the remainder when v(2) is divided by k(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/5)))\/t**(-2\/9))**(23\/3) assuming t is positive.\nAnswer: t**(-184\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 240 = 3*d. What is the highest common factor of d and 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*v + 5. Solve 2*g + d + 16 = 5*d, 0 = -4*g - v*d + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -196.448350923 and 8.6?\nAnswer: 205.048350923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 7. Let i(o) = -16*o - 407. Let x(n) = -i(n) - 5*z(n). Differentiate x(s) wrt s.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 10:12 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3104*f - 115. Let p(c) = -4*c**2 + c. Give o(p(t)).\nAnswer: 12416*t**2 - 3104*t - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1349 * -6\nAnswer: 8094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 17*a**2 + 7*a - 16. Let z be c(-9). Find the second derivative of 41*n - 123*n**z - 4*n**4 + 124*n**2 - 6*n**4 + 36*n wrt n.\nAnswer: -120*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/4))**(-10)\/(q**(-7)\/q**(-3\/2)) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - 1 - -6 - (-4 - -2) - (-122 - -128).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(((-28)\/8 + 3)*-2). Let j be 1\/4 - o - 90\/(-24). Suppose 279 = 2*c - 2*m - 45, 0 = -2*c + j*m + 322. List the prime factors of c.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-25\/6)*(a\/(a*a*(a*a\/a**(1\/2))\/a*a))\/a*a*a**1 assuming a is positive.\nAnswer: a**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0)*10\/(-5). Suppose 0 - 4 = o*p. Let s(v) = 2*v**2 - 2*v - 1. Let r be s(p). Solve -4*y = -r*m + y - 7, -1 = y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248189?\nAnswer: 248189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8743, 8793, 8845, 8899, 8955?\n\"Answer: m**2 + 47*m + 8695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Suppose -24 = 4*s - 2*s + 4*b, -15 = 3*s - b. Let a = s - -10. Let w(u) = u - u + a*u. Give w(i(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(40\/(-860)) - (42 - 55)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17356067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 456\/2451*6\/72\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {b: 5, e: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8262405 to two dps.\nAnswer: 12.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/360 - t**5\/30 + t**4\/24 + 3*t**2. Let s(r) be the second derivative of z(r). What is the units digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2. Let o(i) = 3*i**3 - 5*i**2 + 3*i. Let j(k) = o(k) + 5*r(k). Find the second derivative of j(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g - 4*g + 14 + 40*g**2 - 39*g**2. Determine l(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -9 + 20 - 23.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39204 + 6317*u - 39210 + 78414)*((-4 + 0 + 3)*(3*u - 4*u + 3*u) + 2*u + 0*u - 3*u - 2*u + 4 - 4).\nAnswer: -31585*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5157 is divided by 75?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 19. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65196 = 17*j - 403817. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b + 57. Let w be s(-2). Suppose 0 = -w*q + 103*q + 40. Solve 2*h - q = 12*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let h = 0.1 + 0.9. Let y = -3911\/9 - -435. Which is the nearest to h? (a) y (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 125 + -116 + 2 + (1 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(98)*2 + -5*sqrt(98) + -3))**2.\nAnswer: 6300*sqrt(2) + 22950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047572 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49\/5370 in 5, -2\/9, -0.5, 3.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -43. Suppose 3*q + 2 = 5. Suppose 2*f - 3 = q. Calculate the least common multiple of f and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/55 >= -1.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(1\/(0 + -25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6*(1 + -3)\/(55 + -53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 662126091 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -778511.78 rounded to the nearest 1000?\nAnswer: -779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {k: 12, m: 2, x: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -437017, -3, -6 in descending order.\nAnswer: -3, -6, -437017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {l: 1, v: 2, z: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01670961 and -50.47044.\nAnswer: -50.48714961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 16. Suppose n*l = l + 5. Suppose -3 = -l*w - 23. Let m(k) = -k**2 - 4*k - 4. Give m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*p = -260, 4*l + 2*p - 218 = 3*p. Let x = -26 + l. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31878 (base 9) to base 3\nAnswer: 1001222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1899*f - 2678*f + 1027*f)*(2 - 3*f - 2).\nAnswer: 10650*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -557\nAnswer: 278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (32 - (9 - -1)) + -12\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 15 - 13 + 2*o**2.\nAnswer: 2*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d*f**2 + d*f*g**2 + 2527*d*g**2 - 3*f**2*g**2 - 4378*f**2*g - 2*f*g wrt g?\nAnswer: 2*d*f + 5054*d - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(121)\/(sqrt(891)*2 - sqrt(891)) - (sqrt(22)\/sqrt(2)*-4 + -2))**2.\nAnswer: 148*sqrt(11)\/9 + 15140\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 22*u + 11*u - 91 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*c**3 - 439*c**3 + 25*c**3 - 447*c**3.\nAnswer: -934*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 4:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xbxbbbbbxb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let k(y) = -3 + y**o + 3. Let i(z) = 0*z + 3*z - 2*z. Determine k(i(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.64176 litres to millilitres.\nAnswer: 22641.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/399 and -37\/6430113?\nAnswer: 45010791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55\/1323 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -412713 (b) 1\/9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6912)\/972*(-381)\/(-508).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 - (-9082)\/228. Let m = k + -40. Which is greater: m or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + n + 9 = 0, 4*z + 0*n = 4*n + 20. Let f be (-3)\/(2 + -5 - 1). Is z bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/13? (a) 2 (b) -0.3 (c) -0.2 (d) -46482\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78767903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 504177.\nAnswer: 3025062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -35 + (-3 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.126 - 16.177. Which is the closest to -0.08? (a) -0.1 (b) l (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1267 - 1286. Let s = -17 - k. Let u be -2 - -1 - 7\/(-4). Sort -4, s, u, -2.\nAnswer: -4, -2, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 - 13*t**2 + 7*t**4 + 17*t**2 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 125. Let w = -1 - -3. Suppose 0*s - d - 21 = -w*s, -z = -4*s - 4*d. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-144)\/18 - -6)*2\/(-4). Let m(q) = 2*q**3 + 7*q**2 - 3*q - 4. Let a(k) = k**2 - k - 1. Calculate w*a(r) + m(r).\nAnswer: 2*r**3 + 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 869*f - 22. Let m(a) = -217*a + 6. Determine -3*c(d) - 11*m(d).\nAnswer: -220*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-8))\/(6\/(-56)). Let r = 7 - q. Suppose r = -2*b + 10, -2*b - 192 = -3*a - 5*b. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**2 - 16*h - 11*h + 29*h wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 18*a + 220 = -4*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -15.\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 86*w - 84. Let z be r(42). Let x(a) be the first derivative of a**4\/4 + a**3\/3 - a**2\/2 + 685*a + 9. Is x(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2398*0.01\nAnswer: 23.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5416*t - 2572139. Determine a(526).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208620.\nAnswer: 2, 3, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(46\/(-115))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 136 = 65*f - 76*f, 5*n + 12 = -6*f. Let i(m) = 6*m**2 - 5*m - 1. Calculate the remainder when i(-4) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 12*x - 6*g + 8*g, -3*x - 16922*g + 16925*g = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(3 + 0 + -2)*3. List the prime factors of (-3 + 0)\/(a + (-2460)\/(-824)).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/2795 - -10427\/701545. Let r = 7621970 + -70785235287\/9287. Let c = v + r. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 4. Let z(t) = 324*t**2 + t - 2. List the prime factors of z(w).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5114.9 from -8.\nAnswer: -5122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1874*a - 2115. Let t(b) = -3752*b + 4230. Let n(i) = -13*k(i) - 6*t(i). Differentiate n(c) with respect to c.\nAnswer: -1850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.49 - -105.39. Let k = 2 - 1. Is z greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.049 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*j + 144, -4*b + 2*j + 320 = b. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:24 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-19) + 59769132\/550734.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887047 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-87)\/58)\/((-218)\/(-224) - 1). What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 6. Let x(s) = -s**2 - 7. Let p be (-23 - (-1696)\/80 - (-6)\/(-5))*-2. Suppose 0 = -3*u + 4*u + 5. Give p*o(f) + u*x(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 3, -1, 15105, -35 in decreasing order.\nAnswer: 15105, 5, 3, -1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.213517 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w. Let l(n) = -133*n**2 - 24*n. Calculate j(l(x)).\nAnswer: 1596*x**2 + 288*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 13 + 5. Let f(h) = h**2 + 8*h + 18. What is the least common multiple of f(y) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 7*s = 0. Suppose -6 = -2*a, -2*x - a + s + 5 = 0. Let l = x + 5. Solve -5*z + l = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/10 + 2413854\/270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 6*p - 9*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 3\/(-6)*2. Suppose f = 4*c - 6 - 5, -9 = 3*f. What is the third derivative of -4*g**2 + l*g + 4*g**5 - g - c*g wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6d5 (base 14) in base 7?\nAnswer: -212655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1601932, 1601919, 1601906, 1601893, 1601880, 1601867?\n\"Answer: -13*u + 1601945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -7*s - 2*h + 25 = -k*s, 0 = -4*h + 20. Suppose i - 5 - 10 = 0. Solve -4*b - 46 = -s*d - i, 0 = 5*d + b - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25668 and 55318818?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 122020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*r**4 + 2*r**3 - 5*r + 1 wrt r.\nAnswer: 1992*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 597*s*y**5 + s*y**3 + 14*s*y**2 - 16*s*y - 3*y**5 wrt y.\nAnswer: 35820*s*y**2 + 6*s - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -424378 - 2?\nAnswer: -424381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537790?\nAnswer: 2, 5, 11, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 5. Let o = 13 - 9. Calculate the remainder when o is divided by i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 398, 1335, 3154, 6149, 10614, 16843?\n\"Answer: 49*c**3 + 6*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -b - 4*b + 30, 4*b + t - 14 = 0. Solve 0 = -b*v - 6 + 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440b371 (base 12) to base 8\nAnswer: 61336105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, 12, 0.3, -9\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 690 = o. Suppose -4*j - o = -7*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 3*z**2 + 2*z + 4. Let u be y(-3). What is the remainder when 34 is divided by (-12 - u)*(2 + -1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/42*(-106)\/265 - (-58 - -60)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 r when three letters picked without replacement from oproooooooo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -7.599667.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5\/10 + g**4\/4 + g**3\/2 - 711. Suppose x(v) = 0. What is v?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/9 - 34*g**4\/3 - 620*g**3\/3 - 13948*g**2\/9 - 3434*g + 5202 = 0. Calculate g.\nAnswer: -17, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-183)\/(-61))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3930 is divided by 942.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.55104 to the nearest integer.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/296573 and -34\/5667?\nAnswer: 889719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179813766.\nAnswer: 2, 3, 11, 359, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 5*m**2 + 2*m + 6. Let l be y(5). Suppose 96 = -5*k + l. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-9)*z))**35\/((z*z**(2\/41)*z)\/z**12) assuming z is positive.\nAnswer: z**(13323\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103696010*g**3 + 76718285*g**2?\nAnswer: -622176060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*19*6\/(-57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 24. Let z be f(18). Suppose 2*g - 20 = z*g. Is 11 a factor of (10\/4)\/g*-34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -c + 156. Let g be 30 + 0 + 27\/9. Suppose -2*z + g = -a, -3*z + 2*a + c = -25. Calculate the remainder when 56 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.613 - -0.613375. What is j rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - ((-26 - -37) + 2 + -1)) + -1 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2)\/sqrt(10) - sqrt(17) - ((sqrt(102) + -2*sqrt(102) + sqrt(102))\/sqrt(6) - sqrt(17) - sqrt(17)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/4, -3279, 2 in increasing order.\nAnswer: -3279, -25\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from {c: 5, y: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -1. Let h be t\/3 - (-10)\/(-3). Let z = -0.178 + 0.078. Which is the third smallest value? (a) 1 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - h**3)*(2*h - 4*h + 0*h) + 3*h**4 + 0*h + 0*h)*(0 + 0 + 2*h).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-80)\/(-50))\/(1*(-3)\/15). Is -10 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/8 - -7)*1*-201. Let m = 210 + q. Let x(t) = -4*t. Let r(s) = -7*s. Give m*x(b) - 4*r(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 0.08. Let g = u - -0.1. Let f = -2.5 - -2. What is the closest to -1 in -3, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-20) + (-2)\/(-4) + 1325920\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30923.93 years in decades?\nAnswer: 3092.393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62476981 = 62476982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -16. Let y be ((-52)\/c)\/(14\/(-35)). Solve -2*p + 5*p - 5*a = y, -3*a = 2*p + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2699*d. Let p(o) = 5915*o. What is p(m(f))?\nAnswer: 15964585*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:01 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/12 - -4)*2. Is 11 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*l**2 + l**2 - 4 + 4*l**2.\nAnswer: 11*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k - 421. Let b(v) = -11*v - 406. Calculate 6*b(z) - 5*p(z).\nAnswer: -6*z - 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25362*j + 5 = x - 25367*j, 0 = -5*x - 2*j + 79 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*h + 3 + 41, -4*s + 35 = h. Let j(q) = q + q - s*q - 1 + 7*q. Let w be j(5). Solve w*m + 3 + 5 = -5*a, 29 = -5*a + 3*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*t - 22, -98*o = -99*o + 3*t + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*j + 184 + 140, 0 = 5*j + 5*b - 420. What is the lowest common multiple of j and 16?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + m**2 + 5*m**2)*(-19*m**2 + 215*m**2 - 105*m**2).\nAnswer: 182*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 p, and 1 v when four letters picked without replacement from {p: 3, h: 5, v: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58664885, -58664887, -58664889, -58664891, -58664893?\nAnswer: -58664895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g - 2. Let v be s(-7). Suppose -4*f - f = t - 5, 0 = v*t - 4*f - 112. Calculate the lowest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -833, -1816, -2739, -3572, -4285, -4848?\n\"Answer: 5*h**3 - 1018*h + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -163\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10155*l + 214. Is s(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + h + 3. Let j be w(0). Let i be -3 - 1*(1 + -2). What is the biggest value in i, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-120)\/(-1536))\/(5\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 22*n + 166. Give y(9).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3066, -12249, -27550, -48975, -76530?\n\"Answer: -o**3 - 3053*o**2 - 17*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 80, 82, 66, 26, -44, -150?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287023390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 834409615 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -34.999898. What is a rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g - 55. Let d be w(4). What is the closest to 1 in 0.7, 2\/3, d?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(425))**2 + -1 + 1 + sqrt(17) + -4 + -4 + -5*(3*(sqrt(51)\/sqrt(3) + sqrt(17)) - 2*(1 + sqrt(17))**2).\nAnswer: -69*sqrt(17) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -66*t - 29. Let k(d) be the first derivative of -3\/2*d**4 + t + 0*d - 3\/2*d**2 + 0*d**3. What is the second derivative of k(r) wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/3, -4, 1503\/4, -2\/3, 2\/17, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832\/79 < 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 2 b when four letters picked without replacement from {m: 1, r: 3, a: 6, c: 1, b: 2}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 2, -11\/45, 1\/5, 3 in ascending order.\nAnswer: -1, -1\/2, -11\/45, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - d**3 - 4 + 1 + 8*d - 5*d to t*d + j + w*d**3 + l*d**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53992 is divided by 16707?\nAnswer: 3871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkl when three letters picked without replacement from {u: 1, p: 3, k: 2, l: 3, t: 1, j: 7}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 69*b**2 - 267*b + 2. Calculate v(-30).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 3*j**2 + 3*j. Let y be d(2). Let g be (-2)\/(-10) + 51\/y. Which is the third biggest value? (a) g (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 21, 0, 3 in decreasing order.\nAnswer: 21, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10958\/193? (a) -5 (b) 33 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-1 - (2 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 3*z + 3. What is k(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1389627007*a**3 - 1 + 1 - 1389626999*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let m(b) be the second derivative of b**4\/12 - b**3 - 29*b. Let i(z) = -m(z) - 5*x(z). Factor i(a).\nAnswer: -a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*j - 18. Let s(x) = -64773*x**3 - 2*x**2 - 2*x + 2. Let b be s(j). Let t be -11*b + ((-3)\/(-1) - 1). What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1201737*u - 1201752*u - 480 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let g be ((-9)\/6)\/(m\/(-8)). Determine s so that -7*s**5 - 5*s**4 + 9*s**3 + 2*s + 5*s**2 - g*s + 0*s**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88653 is divided by 1539?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let d = 18 + -20. Let t be 23 - (-1)\/d*0. Let k = t - 22. Give f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -363360 or -363383?\nAnswer: -363360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/7 + 12*i**3\/7 - 22*i**2\/7 - 120*i\/7 + 200\/7 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 866087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5*c*c*c\/(c\/(c\/c**6*c)))\/((c\/c**(-2\/3))\/c**9) assuming c is positive.\nAnswer: c**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7 - (6 - 906\/(-21)). What is the units digit of 22\/(-5)*(i - 7\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 1 - 7. Is (3 + k\/3)*6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*j**4 + 2*j**2 + 125 wrt j?\nAnswer: -52*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 1197, -5, -21\/10?\nAnswer: 1197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = -3*j + 1325, 3*j = -5*v + 1327. Let g = j - 857\/2. Find the common denominator of g and -95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-1)*28\/(-49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590404844 + 56?\nAnswer: 1590404900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 2. Let d be (-1)\/(-4) - 14\/(-8). Let b be x(d). Calculate the greatest common divisor of b and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/6*-2)\/(-1). Let t be ((-44)\/30)\/((-292)\/1314) - 6. What is the closest to 0 in s, -3\/8, t, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7209 - -1131817\/157. What is the closest to 2 in 2, y, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 4*k**2 - 4*k - 2. Let x = 16 - 9. Let t = x + -2. Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/30 - 2*b**3\/15 - 5*b + 11. Let l(v) be the first derivative of y(v). Find k such that l(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -4.\nAnswer: -7, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 2940?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16075 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 986259569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 11}. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 47*v**2 + 17*v**2 + 30*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7*90\/63\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120120404 (base 5) in base 4?\nAnswer: 21203130133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 63*u**2 + 73*u + 60. Let z be w(62). What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/27)\/((-1)\/(-3)). Let t be (-2 - (-39)\/6)*i. Suppose -2*q - 1 = -t. Which is the closest to 0.5? (a) -4\/5 (b) q (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 - 263550384*j - 28941168711061440.\nAnswer: -3*(j + 219625320)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5008*o**2 - 9863*o**2 + 4980*o**2.\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/30)\/(13\/(-65))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, 1, 5, -5, -2 in descending order.\nAnswer: 19, 5, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 489148?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b**4 + b - 15*b**4 - 1 + 5*b**4 + 2*b**3 + 2*b**2 - 1 as u*b + p*b**3 + m + t*b**4 + j*b**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9377.954 minus -3?\nAnswer: 9380.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21130 (base 7) in base 2?\nAnswer: 1010001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/15 and -53\/10360.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - r - 4 = 0, 2*l - 4*l - 3*r - 6 = 0. Is (796\/(-8) + l)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -29*w**2 - 163*w - 43. Give c(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -135*u**2 + 2*u. Let j(p) be the third derivative of -13*p**4\/12 + 7004*p**2. Give j(r(h)).\nAnswer: 3510*h**2 - 52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -146700 from 74.\nAnswer: 146774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -72430000 to the nearest one million.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/3360 - 1\/496.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 24*g = 244*g - 801, -15*z + 18*z = -g + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 505225 and 7757369.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -2*t - 2*l - 12, -3*t + 2*l = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2130, -2129, -2126, -2121?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 12*r**2 + 13*r + 161. Let u be k(-12). Suppose 0 = -u*h + 31 + 4. Suppose 0 = -2*w - m + 13, 0 = -4*w - m - 4*m + 23. Is h > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 + -0.3. Let s = 0.05 - 0.55. Let q = s - 0.5. Is k at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 3 + sqrt(5) - (sqrt(40)\/(sqrt(8)*-1) - sqrt(5)).\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:24 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -491 + 519. Let f = -130 + 183. Calculate the remainder when f is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -1.770488593.\nAnswer: -4.229511407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 154, 8533, 1\/3 in increasing order.\nAnswer: 1\/3, 5, 154, 8533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 344, 221, -140, -847, -2008, -3731, -6124?\nAnswer: -9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -3*k**5\/5 + 3*k**3 - 21*k. What is the second derivative of v(b) wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2. Let z be i(0). Let t = 25.2 - 25. Let v = -2.8 - t. Put v, z, -0.5 in increasing order.\nAnswer: v, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33350 - -531?\nAnswer: 34101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7596 and 2532?\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose -m*j - 3*j + 130 = 0. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 - 1409*v\/8.\nAnswer: -v*(v + 1409)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -44*i**2 + 7*i + 316. Let y(v) = -12*v**2 + 2*v + 79. Determine -4*d(r) + 15*y(r).\nAnswer: -4*r**2 + 2*r - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgv when three letters picked without replacement from ggvggggggggggggggvgg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*l + 32 = 5*k, -4*l = 2*k - 8. Let f(c) = k*c - 138 + 138. Let o(w) = 2*w - 4*w + 4*w. Give f(o(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1190)\/(-1360)*(-6)\/56?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.9 - -46. Let z = 1.406405 - 6.50627. Let j = u + z. Round j to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1463\nAnswer: -6\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*k, 2*g + 5*k + 26 = 5. Suppose g*n = 7*n. Solve -3*m - m - 4 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*r + 16 = -414*r, -85199 = -3*i + 4*r. List the prime factors of i.\nAnswer: 3, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 161886437 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9221441 is divided by 221?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(3\/5)*m*m)\/m))**37*(m**(4\/5)\/m)**(-3\/11) assuming m is positive.\nAnswer: m**(-1218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + k - 4*k)*(0*k + 0*k - 2*k) - 933*k**2 - 6*k - 997*k**2 + 1986*k**2.\nAnswer: 50*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7526130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkd when three letters picked without replacement from {d: 1, k: 4, j: 1, f: 4}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/448*72\/(-81)*(1 + -11).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 290 = -13*b - 2*t, -2*t = b - 65. Suppose 0 = 9*w + b - 399. Let i(f) = f**2 - 21*f - 10. Calculate the lowest common multiple of i(22) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/2 + 87*c**4 + 207*c**3 - 6558*c**2 - 50523*c\/2 - 18585 = 0. Calculate c.\nAnswer: -7, -3, -1, 10, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 2, c: 2, e: 1, j: 1}. Give prob of sequence ezcc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2304 * -3414\nAnswer: 7865856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -407, -402, -403, -416, -447, -502, -587, -708?\n\"Answer: -r**3 + 3*r**2 + 3*r - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6431592, -6431588, -6431584, -6431580?\nAnswer: -6431576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -26010014?\nAnswer: 2\/13005007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -88, 0.03, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 387a022 - -7?\nAnswer: 387a029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w**2 + 2185*w + 11156. Calculate g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppjp. Give prob of sequence hj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3\/7 (c) -3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*o + 11, 5*a - 6 - 31 = -4*o. Suppose w - o + 1 = 0. Differentiate -w*g**2 + 6 - 40*g**4 + 72*g**4 + 2*g**2 wrt g.\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, n: 1, z: 2, f: 2, j: 1}. Give prob of sequence fqf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68436 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2499\/46946?\nAnswer: 2499\/46946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.7 - -8. What is the third smallest value in -3, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83a0 (base 12) in base 11?\nAnswer: -a88a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7204 = 79*n + 4676 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, 13, 97, 181?\n\"Answer: 84*q - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.4, -1\/5, 19, 0.1 in descending order.\nAnswer: 21.4, 19, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + 2*p + 2. Let k(y) = -85*y**2 + 35*y + 35. Let m(h) = -35*f(h) + 2*k(h). Let c(l) = l**2 + 2 - 2. Determine m(c(d)).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387 - -970. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, h: 1, w: 4, y: 1, l: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24565333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 359 and 50619?\nAnswer: 50619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + -62. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17276 = 919*c + 10294 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/2 + 4*t**3\/3 - 7*t**2\/2 + 8. Let r be o(5). Let w be 2 + (3 - r\/(-40)). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-48.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -495884*f**3*r**3 - 692*f**2*r**3 + 3*f*r**3 - 357*f*r - 203708*r wrt f?\nAnswer: -2975304*f*r**3 - 1384*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 14. Let s be u(7). Let f = s - -8. Calculate the lowest common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3136 or -30637?\nAnswer: -3136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30268 (base 10) to base 5.\nAnswer: -1432033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547630?\nAnswer: 2, 5, 23, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c + 1. Let k be j(3). Suppose -u - t + 16 = -5*t, -22 = -k*u + 2*t. Suppose -u*f + 35 = -21. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2810257, -5620334, -8430425, -11240536, -14050673, -16860842?\nAnswer: -19671049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(448) - (sqrt(448) + sqrt(448)*2)) + sqrt(448) - sqrt(448))**2 + sqrt(448) + -3.\nAnswer: 8*sqrt(7) + 1787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -155*n**2 - 7304 + 414*n**2 + 1830*n + 103*n**2 - 1822*n wrt n?\nAnswer: 724*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648749 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -24*g - 62*g + 3444 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4482068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 464\/(-174)*51\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - 10960 + 6*k**2 + 10960.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - 111.1. Let a = 186485.931 - 186599. Let u = a - g. Round u to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*i - 2 - i + 4 - 4 + (2 - 3 + 3)*(-5*i + 0*i + 3*i) - i + 4 - 4 + 2*i - 7*i + 3*i + 0 - 2*i + 0.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(((-121)\/99)\/11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 + h - 13. Let c(j) = j**2 - 1. Suppose 7*p = 2*p + 30. Let a(q) = p*c(q) - m(q). What is the remainder when a(7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11870289 and -11870289 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845432?\nAnswer: 2, 11, 107, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60113, -55260, -50407?\n\"Answer: 4853*c - 64966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in -2\/5, -5, -76?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 2, r: 1, t: 2, g: 2}. Give prob of sequence grtt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 535, 715, 897, 1081?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 1258810 = -83961 + 411931. What are the prime factors of q?\nAnswer: 5, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o*o\/(o\/o**(-4))*o)\/(o\/(o**(-1\/3)*o)*o*(o\/o**(-2\/17)*o)\/o) assuming o is positive.\nAnswer: o**(-2395\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/19)*x\/x**(-2\/3))\/(x*x\/(x\/x**(-1))*x)**9 assuming x is positive.\nAnswer: x**(-424\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -58. Let h = r + -18. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2))\/w)**(-11\/2)*(w*w**(1\/4))\/w**2 assuming w is positive.\nAnswer: w**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 15) in base 7?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 54943.\nAnswer: 2\/7849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - -0.01. Let j = -0.299941 + x. Round j to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 351 and 39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -3 - (-9 - -10) - (-3 - 5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 655246 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 354, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528 - -523. Let l = -5 - -5. Let k be (-8)\/(-2) + (1 - 2). What is the nearest to 0.1 in o, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - ((-79)\/11)\/1. Suppose x*d - 6*d = 295. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14967 + -6091. Suppose 20*m - z = -1736. Is 47 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -419. Which is the smallest value? (a) 0.6 (b) 0.2 (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42300 + -424502?\nAnswer: -342202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 66. Put -2, 2\/9, l, -0.3 in descending order.\nAnswer: 2\/9, -0.3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (45 - 23) - 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*p + 24, 0 = 4*p + 4*r - 22 - 26. Suppose -7*y + p*y = 20. Suppose 18 = 3*l - o, 3*l + y*o - 2 - 1 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 2*l**5\/15 - l**4\/24 + l**3\/3 - 4*l**2. Is 19 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 30*v**2 + 7*v**2 + 4*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636 and 495096?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {e: 3, i: 3, c: 2, h: 8}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100110000 (base 2) to base 12\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 86*n**2 + 6*n - 142. What is the remainder when v(43) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 159, 618, 1363, 2388, 3687, 5254, 7083?\n\"Answer: -p**3 + 149*p**2 + 19*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.0727 meters in micrometers?\nAnswer: 600072700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qufubfququuh. Give prob of picking 1 b, 1 f, and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.451405 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -27050.\nAnswer: -99\/27050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 - (-15)\/9). Is (-6)\/(i + 2) - -1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*32\/60*120\/(-48). Let m(i) = i**3 - 2*i + 2. Let t(a) = a**3 - a**2 - 2*a + 1. Let v(s) = 4*m(s) - 3*t(s). Give v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(15)\/sqrt(3))**2 + 5*(-2 + (1*sqrt(5))**2).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -1, 28 in decreasing order.\nAnswer: 28, 4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 7. Let u(f) = -138*f**2 + 1 - f**3 - 3 + 135*f**2 + 4*f. Let r be u(-4). Let l(p) = -p - 3. Determine r*c(v) - 5*l(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6299*o**3*z**3 + 221*z**3 + 6 wrt o.\nAnswer: 18897*o**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-21))\/(-2)*(-4 - (-65)\/20)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*d - 52, -2*d = q - 0*d - 10. Calculate the greatest common factor of 80 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 137*a + 145*a**3 + 137*a.\nAnswer: 145*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*-5*2*2*sqrt(11))*-6)**2.\nAnswer: -4320*sqrt(11) + 1425636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*r + 9646 = 0, 13*d + 12068 = 18*d - r. Calculate the greatest common divisor of d and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -102?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -171*z**2 + 15721*z + 1010. Give a(92).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2231372 - 1516591. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*(d\/((d**(3\/2)\/d)\/d))\/d))**(-2\/27))**(1\/7))**(-5\/3))**(-11\/6) assuming d is positive.\nAnswer: d**(55\/3402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 879568 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 1178*n**3 + 21703*n**2 + 209300*n.\nAnswer: -n*(n - 25)*(n + 7)*(n + 1196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(8\/5))**(5\/16)\/(z**(-7)*z**(-21)) assuming z is positive.\nAnswer: z**(461\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/8 + 2\/8. Is (195 + y)*(2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/120 + 7*i**5\/60 + 5*i**4\/12 + i**3\/6 + 5*i**2. Let t(h) = 4*h - 6. What is the least common multiple of c(-4) and t(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**7)\/l**(1\/4))**(3\/14) assuming l is positive.\nAnswer: l**(93\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-11 - ((6 + 9 - 10) + -16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -283\/31966?\nAnswer: -283\/31966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 0*d)*(261 + 54 + 878).\nAnswer: -1193*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 31 = -4*r, 38*r + 9*t = 35*r + 48 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1\/7, -59704, 0.2, 1, -0.5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 230340816558+0.04\nAnswer: 230340816558.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:33 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 - 262. Suppose -u*n = -25*n - 19590. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, -6, -5 in increasing order.\nAnswer: -6, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 828 + -4993\/6. What is the common denominator of 77\/12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428118*b**3*i*v - 6*b**2*i*v + 2*b**2*i + 70*b*i*v - 19*b*v + 2*i*v wrt b.\nAnswer: 2568708*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.94 + 2. Let s = -1265 + 1267. Which is the closest to -2\/3? (a) j (b) s (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101, -304, -845, -1892, -3613, -6176, -9749?\n\"Answer: -28*a**3 - a**2 - 4*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 3. Let a be h(-5). Suppose -36 = -4*w + 4*n, -3*w + 4*n + 25 = 1. Calculate the highest common divisor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(50)\/sqrt(2) - 2*sqrt(225))\/(((6*1*sqrt(5) - sqrt(5)) + sqrt(80)*-6)*-5))**2.\nAnswer: 81\/1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53850 + 0?\nAnswer: 53850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*c + 6, 4*b = 5*b - 2*c - 18. Suppose 10 = 2*s - 18. Let w = s - b. Is w greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5845 and 8680?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 41. Calculate the remainder when 41 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*u**2 - 20*u + 6*u + 9*u - 5*u**3 + 7*u to y + w*u**3 + o*u**2 + f*u and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 3*o**2 + 0*o**2 + (2*o**2 - o**2 + o**2)*(2 - 2 - 2) + (-2*o + 0*o + 0*o)*(6*o - o - 2*o) + 2*o**2 + 3*o**2 - 3*o**2)*(212*o - 10*o + 69*o).\nAnswer: -2439*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + p - 296 = 4*v, -128 = -2*v - 2*p. What is the remainder when 168 is divided by v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -13\/3412 (c) 1 (d) 2 (e) -4 (f) 3 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003937 rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 17*f**4 + 2*f**2 + 12*f**3 + 6*f**2 - 10*f**2 - 11*f**3 to i*f**4 + z*f + w*f**2 + r*f**3 + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46573.4 + -1829\nAnswer: 44744.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -48*g + 3234. List the prime factors of a(0).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-874)\/(-161))\/19)\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 31. Suppose -45 = -2*d + h - 5, -4*h - 88 = -4*d. Calculate the lowest common multiple of z and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3215\/(-1286) - (-1 + 0)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((40\/160)\/((-1)\/(-2))) - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -17*a**2 + 5\/12*a**4 + 0 + 0*a + 0*a**3 - 1\/6*a**5. What is the second derivative of m(d) wrt d?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:29 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 11*u**2 - u + 77. Let l(m) = 11*m**2 + 2*m - 56. Let c(f) = 3*l(f) + 2*o(f). Let v(n) = n**3 + 4*n**2 + n - 5. Give -4*c(i) + 11*v(i).\nAnswer: 3*i**3 - 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 149230168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 119*m + 4580. What is i(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 492 - 364. Suppose -d = 21*k - 590. Calculate the remainder when 130 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/9782 and -95\/6968.\nAnswer: 508664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 84356*l\/7 - 889491842\/7.\nAnswer: -2*(l - 21089)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**5 + 287*d**4\/6 + 428*d**3\/3 + 188*d**2 + 272*d\/3 - 8\/3 = 0.\nAnswer: -2, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5) + ((-672)\/(-620))\/3. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45506 and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48005?\nAnswer: 5, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 + 7. Suppose 2*y = 4 + 14. Let k = y - 15. Let f(t) = 8*t**2 + 13*t - 13*t - 8. Determine k*b(g) - 5*f(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 142*s**2\/7 + 15644*s\/7 + 2640\/7.\nAnswer: 2*(s + 110)*(71*s + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Suppose -w + 4 = i*a - 89, 2*w = -3*a + 96. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04000062 + 0.04. Round h to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 - -180. Suppose v*s = 31*s - 2772000. Round s to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(1\/12). Let v(f) = -133 - 3*f + 4*f + 130. Let h be v(g). Solve h*r - 26 - 2 = 5*o, -4*r + 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 650758316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -662884000 rounded to the nearest 1000000?\nAnswer: -663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 56 - 11. Suppose -2*t + 6*n - 4*n = -36, 4*t + 4*n = 104. Suppose -u = 0, u = -m + t - k. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38826 and 15818.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 6:50 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/10 and 16\/1753.\nAnswer: 17530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4582.57 in 3, 5, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 - 28*s**2 + 18*s**2)*(91 - 48 + 2386*s - 45) to c + n*s**2 + u*s + d*s**3 and give u.\nAnswer: 2386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-3))\/g*g)\/((g**(3\/4)*g)\/g*g))\/((g**(-1)\/g)\/g)**(3\/14)*(g**8*g*g\/(g\/g**(-2))*g)**(-22) assuming g is positive.\nAnswer: g**(-4847\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -382.\nAnswer: 1\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3\/4955 (c) -19 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 273179 - 154892450\/567. Calculate the common denominator of 75\/2 and b.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 8. Let p(m) = m**2 + 4*m - 26. Let w(i) = i**2 + 10*i + 8. Let b = 20 + -28. Let t be w(b). Let a be p(t). Determine x(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250.14 + -0.14. Let k = 279.098 - 3.798. Let a = k - y. Round a to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*f - 83 = -200*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66393 (base 12) to base 15.\nAnswer: -2a16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 8*i**2 + 10*i - 7. Let s be z(9). Let l be (7\/(-14))\/(s\/32). Does 19 divide (l + -2)*28\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 + 1 + 7*b. Let s(r) be the third derivative of 0*r**4 + 0*r**3 - 7*r**2 + 0*r + 0 + 1\/30*r**5. Calculate x(s(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 144*t**4 - 1641*t**3 - 5622*t**2 - 6912*t - 2784 = 0. What is t?\nAnswer: -4, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t - 40 + 41*t + 40 to the form f*t + h and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 8.279. Let p = j + -0.021. Let x = p - -15. Sort x, -5, -4 in ascending order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-170)*1\/(((-270)\/(-150))\/(-9)))\/1.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*z - 3*t - 2*t, -3*z = -4*t - 90. Suppose -22*p + z*p = 7772. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 219 + 215 = -14*d - 100, 2*d + 124 = -d + 5*o for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 3*b - 14, -4*s + 4*b - 12 = 0. Differentiate -8*g**2 - g**s + 224 - 238 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503928 greater than -1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 1, y: 2, g: 3, c: 7, l: 2, k: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c28495 (base 13) in base 5?\nAnswer: 2124443022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*n - 2364, -592 = -n - p + 2*p. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 13*w + 20*w + 10*w + 36*w + 11*w + 10*w - 108*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/10 + 2\/(-5). Let y be 7 - 1\/((-3 - -6)\/9). Sort y, h, -8.\nAnswer: -8, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -0.2, 2, -8, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 - -24 - 613\/(-2)*362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d - 12 = -59*d. Suppose -5*t + 262 = -4*t - d*q, 0 = -2*t - q + 497. What is the highest common divisor of t and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 8 = -10*j + 15*j, 3*m + 5*j = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-4)\/25)\/((-40)\/23200)*15\/2 and 783?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 12*b + 6. Let p(j) = -12*j + 5. What is 5*m(h) - 6*p(h)?\nAnswer: 5*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -32\/317, 1, 6, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 (base 13) in base 11?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 4, k: 2, s: 2, a: 2}. Give prob of sequence aak.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52\/5? (a) 0.1 (b) -1\/5 (c) -2 (d) 8 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.6 - 4.4. What is i rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -81 (c) -1\/4 (d) 2\/11 (e) 4 (f) 4\/3 (g) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzssszszsz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(147) - 1*2*sqrt(147))**2 - (sqrt(147) - (5 + (2*sqrt(147))**2))).\nAnswer: -7*sqrt(3) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 31*q**2 + 408*q + 1383. Determine z(-7).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7702804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*d - 25*d - 12. Solve -z = 2*z - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:26 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -19 - -17 - -18) + -11 - (-1 - -7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1202001 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 295.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/90 and -123\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**3 + 16*a**2 + 8*a - 7. Let d(u) = -2*u + 10. Let v be d(12). Let t(l) = l**3 + l**2 - 1. Let b(x) = v*t(x) + 2*p(x). Factor b(o).\nAnswer: 2*o*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*z + 186 = 0, 182 = 2*g + g - 4*z. Let o = 78 - g. Which is greater: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -24 + 12323 + -12232?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-52*j - 12*j + 107*j)*(-j + 4*j + j).\nAnswer: -172*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**8\/504 + d**6\/180 - d**2. Factor i(u).\nAnswer: -2*u**3*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -0*a + 4*a. Round a to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((4\/(-31))\/2). Suppose 0 = o - n - 1. Solve -4*a = 5*y - o, -2*a + 26 = 4*y + y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 701\/2386153 + 2\/2563. Let y = w - -8374\/4655. Does 3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11387813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 12 = 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405069748.\nAnswer: 2, 3, 1151, 58043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 182*y - 60. What are the prime factors of k(104)?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/105 + 4\/14. Let g = 2457 + -2456.9. Sort -3\/4, g, h in descending order.\nAnswer: h, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.691 - 1370.771779.\nAnswer: -1373.462779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30793, -30747, -30701, -30655, -30609?\n\"Answer: 46*q - 30839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 111*q + 914. Give c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6756 (base 8) to base 2\nAnswer: -110111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -21541020?\nAnswer: -21541034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 48*q + 245 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2292 and 12?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.98 - 2. Let s = d + 0.08. Let n = 0.94 + s. What is the third biggest value in n, -7, -2\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -8. Let i be ((-12)\/21)\/(b\/7). Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13201003 (base 6) to base 12\nAnswer: 190163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {e: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46355 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, d: 3}. What is prob of sequence iidi?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873 a factor of 36358676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*d**4*p - 4*d**4 - 3*d**3*p + 6*d**3 - 2929*d**2*p + 133*d**2 wrt d.\nAnswer: -3456*d*p - 96*d - 18*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110 - (4 - (5 + -3)). Which is smaller: 107 or m?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523564751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009839 to 5 decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9*h + 256. Let t = 177 + -93. Let b = 180 - t. Calculate the greatest common factor of h and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -51122130?\nAnswer: 51122130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 4*k - 80. Which is the smallest value? (a) -13 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 17. Let m be 4816\/(-42) + 1\/(-3). Is x + -4 + 1 - m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*x - 5*r, -2*x + 1 + 4 = -3*r. Solve -21 = -5*s + x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - j - 4. Let b(g) = -34*g**2 - 205*g + 15. Let x be b(-6). Let t(v) = -15*v**2 - 6*v - 21. Give x*a(w) - 4*t(w).\nAnswer: -3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 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(w) = 7*w + 6. Suppose -4*a = -7 - 9. Let c(t) = 0 + 3*t - a - 1 - 9*t. What is 6*c(f) + 5*g(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -8. Calculate the remainder when 22 is divided by (36\/h)\/((-6)\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose 3*c - 5*b = 601, -2*c + p*b + 398 = -2*b. Is 43 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 c when four letters picked without replacement from {i: 2, c: 5, v: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68572 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/6 + 43*n**2 + 530*n. Let b(h) = h**2. Calculate b(o(u)).\nAnswer: u**2 - 172*u + 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65800 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:07 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*c**2*w**2 - 4024*c**2*w - 20*c**2 + 648*c wrt w?\nAnswer: 58*c**2*w - 4024*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 42*m - 1. Let c(n) = -3*n - 605. Determine c(f(h)).\nAnswer: -126*h - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*r - r. Let k = 22 - r. Let y = -1 + 4. Solve -y*t + k = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 + 981*b**2\/5 + 240099*b\/5 - 241081\/5.\nAnswer: (b - 1)*(b + 491)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.1 - -41.7. Let l = r + 0.3663. What is l rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:25 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -9*r + 10*r, 2*r - 2 = 0. Sort -3, -4, 25, h in increasing order.\nAnswer: -4, -3, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let w = 4 + 0. Let a(h) = -h**2 - h**2 + w*h**2. Calculate z(a(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 36033*s**2 - 4527420*s - 4563456 = 0. What is s?\nAnswer: -1, 128, 11884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4323 + 6115. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 13 + (2 - 3). Let p = c + -5. Let w = 30 - 20. Do w and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 - 13977*f**2 + 13977*f**2.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -18. Let g = v - 45. Suppose 0 = -i + g*z - 2, -5*i + 2*z + 38 = 6*z. Calculate the smallest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-14)\/36))\/((66\/(-28))\/(80\/(-280))).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 4*h - 24, 3*h = -11*b + 14*b + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1934886753 rounded to the nearest 100000?\nAnswer: -1934900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 451299174 divided by 1\nAnswer: 451299174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:56 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 26928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12146053 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8636.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964924456.\nAnswer: 2, 120615557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(200)*-6 - ((2*sqrt(162) - sqrt(162)) + -2 + sqrt(162) + -2*(-1 + sqrt(162))))*5)**2.\nAnswer: 12000*sqrt(2) + 180400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 6 = -5*a - k, -a = -k + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.251 + 0.031. Let j = -8 + 8. Sort -0.2, j, k in descending order.\nAnswer: j, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68988781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60931 - -2134344\/35. Let g = j + -314\/7. What is the common denominator of g and -77\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*x + 8, -5*x = -0*w + 4*w + 1. Let t = -9939 - -9940. Let j be 3\/((-9)\/(-6)) + -5. What is the nearest to t in 4, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let u be d(3). Let w be ((-4)\/u)\/((-4)\/12). What is the smallest common multiple of 6 and (w + 1)*24\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 4. Let u be i(4). Suppose -4*x = 5*r - 3, r = -u*x - 2*r + 5. Suppose 2*j = x*a - j - 5, -4*a + 65 = 5*j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*f + 6, -4*f - 1 = -9. Determine o so that m*o - 38*o**2 + 34*o + 75*o**4 - 90*o**3 + 12 + 5*o**2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*q = 4*q - 5, 4*q - 20 = 0. Let p be (1 - l)\/(3 + (0 - 5)). Find b such that -3\/5*b**5 + 6\/5*b**4 + 0 + 3\/5*b - 6\/5*b**2 + p*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -18508*p. Let q be w(-2). Let i = q + -71625\/2. Let a = 1241 - i. Calculate the common denominator of a and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(5\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-5))\/((-4)\/(-60)*3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -h - 2*n - 2*n, -5*n + 18 = -7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 3) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*13 + (3 - 1). Let m be 1\/(-7) + f\/(-14). Let l be 133\/49 + m\/(-14). Solve -l*x = -6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 130 - 110 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 154, 4, -3, -113, -1 in descending order.\nAnswer: 154, 4, -1, -3, -54, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-41)\/(-8) - (6\/(-54))\/(80\/(-90)). Let k be 0\/(2 - (5 + -2)). Determine a so that 0*a**3 + 0*a**2 + 0*a + k + 0*a**4 - 1\/2*a**x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -146, -234, -338, -464, -618?\n\"Answer: -i**3 + i**2 - 74*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - 17*z**4\/12 + 13*z**3\/6 + 7*z**2\/2 - 1282*z. Calculate r(16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.00317 + -362215.40317. Let p = -362185.3999956 - d. Let n = 11 - p. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5\/33, -3, -4, -1\/3 in decreasing order.\nAnswer: -5\/33, -1\/3, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 105, 327, 743, 1413, 2397, 3755, 5547?\nAnswer: 7833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 take away 1315?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 335, 616, 983, 1454, 2047?\n\"Answer: 3*d**3 + 16*d**2 + 144*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djddjjdjdjfjdjjfjjj. Give prob of sequence dddj.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 16.8. Let t = 6 + 14. Let b be 6\/3*2\/t. What is the nearest to c in -0.4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqjij. What is prob of sequence jiqj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43724 divided by 5087?\nAnswer: -43724\/5087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3481 - 3456. Solve -20*h + j*h = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 - 129 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 1 + 11. Suppose -t + 3 + 1 = 2*j, 0 = -v*t + j - 2. Which is smaller: t or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 9*x = -6. Solve -v + 4*v = -4*p - 11, 0 = x*v + 3*p + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*g - 115. Suppose p + 17 = 2*r, 22*p - 21*p + g = r. Let z(l) = l**2 + 3*l - 5. Determine z(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 9 = -3*d. Suppose 4 = 2*b + h, -5*b - 7*h + 24 = -d*h. Solve -m = m + b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411998*v**6 - 7*v**5 - 12*v**3 + 129*v**2 + 2835*v + 4?\nAnswer: 49439760*v**3 - 420*v**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 27 = 4*a. Let l(c) = 1 - 4*c**3 - 2*c**2 + 5*c**2 + 5*c + 1. Let n = 4 + -2. Let x(z) = 2*z**3 - z**2 - 2*z - 1. Determine a*x(d) + n*l(d).\nAnswer: 2*d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z - 33*z = 23256. What is the highest common divisor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2*g + 2*g + (1 - 4 + 1)*(g + 0*g - 3*g) + ((8*g - 3*g + 27*g)*(0 + 1 - 3) + 1 - 1 + g)*(-19 - 32 - 23).\nAnswer: 4667*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-5))\/((-2)\/10). Suppose f = 4*h - 0. Suppose -65 = -4*w - 4*m + 19, h*w - 66 = 5*m. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*a + 2*a - 7, -19 = -a - 5*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(272) - (0 + sqrt(272)))*5 - (2 + -1 + -2*sqrt(272) + sqrt(272))**2)*2.\nAnswer: -546 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:21 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*z = 2*k + 5, 0 = 4*k + 5*z - 5. Suppose 3*b - 6 = -k. Solve -o - 5*h - b = -h, 5*h = -2*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5915260\/(-90))\/(-2) + 8\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/600 - 3*u**5\/50 + 8*u**4\/5 - 208*u**3\/15 - u**2 + 519. Factor c(i).\nAnswer: -(i - 4)**2*(i + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let m(p) be the third derivative of p**7\/420 + 29*p**5\/60 - 117*p**2. Let w(u) be the third derivative of m(u). Give w(d(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67441, 540501, 1824615, 4325311, 8448117?\nAnswer: 14598561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(8\/10)\/(-2). Let c be ((-192)\/1960)\/(r\/(-7)). Let h = c - -8\/7. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28318621 bigger than -28318621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + 2.9. Let i = k + -3. Let y = i + -0.6. Which is the nearest to 2? (a) -3\/2 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 0*c + 2*c - 16, 0 = 4*y + 2*c - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 2*v**4 + 6*v**4)*(37 - 37 + 12*v) + 2*v**5 - 5*v**5 + v**5.\nAnswer: 70*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19275 + 5?\nAnswer: 1927a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1075042 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (85\/34)\/(2\/4). Suppose 13*w - 8*w = r - 526, 5*r = k*w + 2730. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -630, -1497, -2778, -4461, -6534?\nAnswer: -8985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 25 = -19*k. Suppose 5 = -5*h, 0 = -k*l + h - 19 + 75. Suppose l*r - 16*r = -30. What is the greatest common factor of 54 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*d**3 + 15*d**3 + 47*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.00982 to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a32 - -6?\nAnswer: -33a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k - 16. Let h be u(-7). Suppose -5*l = -10 - h. Suppose 0 = -l*z + 6, -2*z = 4*x + 3*z - 130. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 7*l + 7. Let p(a) = -2*a**2 + 3*a - 3. Let s(f) = -14*p(f) - 6*w(f). Let i(q) = 13*q + 3. What is i(s(t))?\nAnswer: 52*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 - -7) - -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/180 and (-8245)\/(-17848) - 2\/23 - (-3435)\/(-10152).\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -103*v**3\/2 + 5*v - 551. Let z(l) = -5*l. Give n(z(s)).\nAnswer: 1545*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (356\/(-6052))\/(((-4)\/(-12)*3)\/((-12)\/(-30)))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h + 189. Let k be a(0). Let b = k + -115. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*1 + -1 - (sqrt(42)\/(sqrt(12)\/sqrt(2)) + (sqrt(7) - -2*(sqrt(7) - (0 + sqrt(7)))))) + 1.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334 and 86501825?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.1 + 35.4. Let r = -18.3062 + p. Round r to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441614880 divided by -6948?\nAnswer: 63560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2. Let q be p(2). Let k = -97 + 98. Do k and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1943*u**5 - 11105*u**4 + 47559227*u wrt u?\nAnswer: -38860*u**3 - 133260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -57, -44, -25, 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2415)\/(-460)*4\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/39 + 33\/39. Solve -5*b - 5*p - j = -2*b, 5*p = -2*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104482591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -6*x - 77 + 453 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, z: 3}. What is prob of picking 2 z and 1 b?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2737 and 6935218.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -2*o - 18, 2*f + 36 = -5*o. What is the common denominator of -2 - -1 - 30\/o and -22\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 426, 428, 430, 432?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/6)*w))**(-12) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110110111000100010101000?\nAnswer: -110110111000100010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-3)\/2))\/((966\/(-184))\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z - 2*z + (2 - 6 + 1)*(-2*z + 2*z + 3*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3391, 7007, 10623?\nAnswer: 14239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 100147, 801115, 2703737, 6408841, 12517255, 21629807, 34347325, 51270637?\n\"Answer: 100138*p**3 - p**2 + 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1130033 (base 4) to base 3\nAnswer: -22002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 125.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -708\/7*b**3 + 236*b + 676\/7*b**2 + 16\/7*b**5 - 76\/7*b**4 + 360\/7 = 0?\nAnswer: -5, -1, -1\/4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125139380 and 136374.\nAnswer: 2627926980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-1) - 3\/(9\/(-41844)). Is 13957 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/912*576\/(-816).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 74 - 10. Suppose 2*k - 72 = -c*f + 178, 5*f = -k + 305. What is the greatest common divisor of f and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 9 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 14. Let x be k(3). Let o(g) = 5*g - 67. Let i be o(14). Suppose -2*t**4 + 5*t**x - i*t**3 - 9*t**2 + 9*t**3 = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 11) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.328975 - -4.2835. What is i rounded to four decimal places?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 - -5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -53 - g + 0*g + 73. What is the units digit of b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 11. Let p be c(6). Let g = p + 10. What is the greatest common divisor of g and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90996 divided by 22749\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.2196197 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 25*j - 80 = 0. Let c be (j\/2)\/1*11\/66. Factor 10\/3*b**3 + 0 + 2*b**2 + c*b**4 - 6*b.\nAnswer: 2*b*(b - 1)*(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n + 1. Let p(y) = y**3 - 13*y**2 + 12*y + 6. Let i(a) = p(a) - 4*t(a). Let u = 284 - 282. Suppose -24 = -v - u*v. Determine i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 9*s + 3*s)*(0*s - s + 0*s + 4*s - 3*s + s + 4*s - 4*s - 2*s + (2*s - s + s)*(-4 - 1 + 3) + 2*s - 3*s + 0*s) - 6*s**2 - 2*s**2 - 8*s**2.\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 108*c - 448. Let f(i) = 260*i - 1120. Calculate -5*f(j) + 12*m(j).\nAnswer: -4*j + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/6 - (-6)\/(-18). Suppose 0 = -4*d + 15 + 1. Let y be (d\/6)\/(2\/3). Put w, y, -4 in ascending order.\nAnswer: -4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -6) + 8 - 78\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1210630, 1210632, 1210634?\n\"Answer: 2*w + 1210628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 + -2)) + -11 + 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 - 12. Let o be z(6). Factor -17*l**2 + 50*l**2 + 3*l**3 - o*l**2.\nAnswer: 3*l**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 - 4*u - 3. Let c be q(-2). Let w(y) = -10*y + 24. Let n be w(-7). Let t = n + c. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m + 188*m - 96 = 3*d, 16 = 2*d. Let y(c) = -10*c - 2. Let b be y(6). Let v = b - -116. Calculate the smallest common multiple of m and v.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbm. Give prob of sequence bm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53251 is divided by 17744.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49459813 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 766?\nAnswer: -77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + k - 9 = 3, 2*k - 4 = 0. Solve 15 = -j - v*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 398615.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6290 and -9\/85?\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1987)\/(-9) - ((-188)\/36 + 5). Suppose 3 = -f, -5*l + u = -f + 4*f. Let v be 1 - l\/(-4) - (-9)\/(-18). What is the greatest common factor of v and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a**2 - 23*a + 11. Let w be v(12). Let k = 7608 + w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3 - (-5 - 0)). Suppose -4*r + 4 = -d, z*r = 5*r + 4*d + 16. Suppose f - 32 - 32 = r. What is the highest common divisor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/252)\/(1\/(-153)). Suppose 0 = -3*o - 4 + k. Solve o*j + 1 = 9*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 2*m - 3*m**2 - m**3 + 0*m**2 - 2 + 6. What is d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Let i be 6\/((2 - 4) + y). Suppose 28 = i*t - 4*t. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52056277 != 52056277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*p - 70*p + 139*p + 6*p**2 + 1289*p**3 + 6*p**2 wrt p?\nAnswer: 7734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 49*v + 1075. Calculate j(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from zwzdz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-293)\/6)\/(4\/(-312))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480\/400*(-5)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-7) - -18 - 3. Let l(a) = g - a + 0*a + 1 + 2*a + a. Calculate l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 5*o + 53, -2*n + 20 = -4*o. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**2 + 4*l + 4. Let j(f) = 24*f**2 - 7*f - 7. Let q(d) = 4*j(d) + 7*v(d). Let k be (-8 + 8)*(-1)\/2. Let w(n) = k*n + 3*n - n. Give w(q(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152678894.\nAnswer: 2, 76339447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 136. Put 5, v, 3, -2 in increasing order.\nAnswer: -2, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q + 4. Let x be u(-3). Suppose 2*l - x*l = 552. Is 4\/(-10) + l\/(-15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -6050.\nAnswer: -1\/1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11934 or 1?\nAnswer: -11934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 3963015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 709469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 - 15*u - 145. Let o be r(-10). What is the second derivative of o*g**2 - 137 - 2*g + 2*g**2 + 4*g + 178 wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373730000 rounded to the nearest 1000000?\nAnswer: 374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/30)\/((-1820)\/1040).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 + 2*u**2 - 2*u + 1. Let n be ((-2)\/(-2) - 0)*(20 + -18). Calculate the remainder when (n + 2)\/(-8)*20\/(-1) is divided by z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 38\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t - 1 - 1 - 20*t)*((0*t**3 + t**3 - 2*t**3)*(1 + 1 - 4) + 3 - 3 + 6*t**3).\nAnswer: -8*t**4 - 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Let q(l) = -l. Suppose 3*d - 5 = -8. What is d*c(t) - 3*q(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/(-50))\/((-702)\/(-1170)))\/3.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 778253762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Suppose 8*r - 5*r + 6 = 3*a, 0 = -2*r + 8. Let w(v) = -6*v - a*v - 1 + 12*v - 2*v**2. What is 3*g(q) - 2*w(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5 - 40*a**4\/11 - 74*a**3\/11 + 76*a**2\/11 + 104*a\/11 + 16\/11 = 0?\nAnswer: -1, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2*m + 2*m - 3*m)*(161 + 168 - 330 + 83*m**3).\nAnswer: 166*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -160, -237, -312, -385, -456, -525?\n\"Answer: k**2 - 82*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:42 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 4352*u**2 - 51776*u - 137728.\nAnswer: -4*(u + 4)*(u + 8)*(u + 1076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -114 - -116 - 6*2. Which is the biggest value? (a) -4 (b) w (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844839415 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 - 840220*u**4 - 35292600410*u**3 + 494216563700*u**2 - 1871097691265*u + 1412174568200 = 0. Calculate u.\nAnswer: -84029, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + -19.85. Let l = -20.11 - k. Put 3\/5, l, 3\/4 in descending order.\nAnswer: 3\/4, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 + 95 = 4*d. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**2 + 1\/6*h**3 + 1\/6*h**4 - 8*h + 0. Let k be l(-2). Solve -3 = -k*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let z(b) be the first derivative of -2 + 0*b**5 - 1\/6*b**6 + 0*b**o - 1\/2*b**2 + 0*b**3 + 0*b. Find the second derivative of z(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794483?\nAnswer: 794483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - r + 3*r = 4, -4*n = 4*r. Suppose 2*c = -n*c + 12. What is the third derivative of c*u**6 - 4*u**6 - u**2 + 2*u**2 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24158, -24189, -24250, -24353, -24510?\nAnswer: -24733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s - 24. Suppose r - w + 1 = -0*w, 3*w - 9 = 0. Let y(k) = -k**s - 3*k**r + 11*k**2 + 0 - 4. Determine y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22102112 (base 3) to base 9.\nAnswer: -8375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 8. Let f be (-1)\/((-11)\/99) + -20. Let k(z) = 2*z + 3. Determine f*k(d) - 4*p(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let i = 5 + -5.0000012. Let g = i - c. Round g to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*t = -277*t + 2446 - 440 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590886327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -7, 66, 0.02, 2\/7, 13, 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00141483 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82655668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -19*n + 75. Let k be p(-18). Let u = -10 + k. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/19 + 16326*g**2\/19 - 6517072*g\/19 - 13099464\/19 = 0 for g.\nAnswer: -2, 423, 7742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 10*i**2 + i - 8. Let y be v(10). Suppose 4125 = 17*g - y*g. Suppose 21*x - 26*x + g = 0. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 350 + 136?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16 + 1 + 4 - 4)*(12 - 24*b - 12) + (0 - 1 + 4)*(-b - 4 + 4) + b - 3*b + 3*b)*(-5*b + 3*b + 0*b).\nAnswer: 820*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96.6 - -96.7. Sort v, 46, 0.5 in descending order.\nAnswer: 46, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12 and -11\/3995268.\nAnswer: 3995268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1, 0.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/55, -4, 593, -0.1 in increasing order.\nAnswer: -4, -0.1, 6\/55, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(3 - (-108)\/(-34)). Suppose w = 5*s - 2*c, 2*s - 5*c - 11 = -0*s. Suppose -5*q + 238 = -s*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 115. Solve 0*u + 15 = q*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4396 = -3*x, 7*x + 1098 = k + 8*x. Suppose 4*j - 5*h + 202 = k, 0 = 4*h. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, s: 1, n: 2, h: 2}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547040 = -6390*y - 4130*y for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 1, 0.2, 62, 9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 1073.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4864992\nAnswer: -9729984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47056, -188235, -423542, -752983, -1176564, -1694291, -2306170, -3012207?\nAnswer: -3812408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/((-14)\/21). Let b be (-8)\/(-8)*0\/m. Solve b = 4*x - 17 + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324\/17, 2, -2.\nAnswer: -2, 2, 324\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 - 160. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d751b (base 15) in base 12?\nAnswer: 2013452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4032 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 13*z - 28. Let c = -24 - -12. Let j be s(c). Let u(x) = -x**2 - 15*x + 19. Let y be u(j). Calculate the highest common divisor of 15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r + 2907 = 93*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -76. Let i(c) = c - 2. Let k(m) = -3*m + 3. Let x(f) = 7*i(f) + 4*k(f). What is the units digit of x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -110095 + 55645. Calculate the highest common divisor of o and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101903+-13132.5\nAnswer: -115035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*z + 2*z. Suppose 0 = 25*n - 32*n + 84. What is the lowest common multiple of n and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -544*w. Let v(x) = -179*x - 2222. Calculate v(q(j)).\nAnswer: 97376*j - 2222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916 (base 10) in base 12?\nAnswer: 8770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -172. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(m + 3*m - 2*m)*(-3 + 3 - 1) + (-1 + 8 + 18)*(-2*m + 5*m - m) - 2*m - m + 6*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 = 1449*q + 1278. Let b be ((-8)\/6)\/(354\/135). Which is bigger: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:16 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let f(p) = 2*p**2 + 14*p + 2. Let v be (3 + -7 - -1) + 2. Let d(t) = v*f(t) + 10*b(t). Suppose d(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + w = -k - 112, 0 = k + w - 20. Is k bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16\/5 + -124\/45. Let m(t) = t**2 + 3*t + 2. Let n be m(-2). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.57 + -1.7. Let x = f - -0.03. Which is the third smallest value? (a) x (b) 0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (728\/6)\/(-7)*111*-1?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-40) - (-2)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60407\/16992 + 1\/1888. Find the common denominator of v and -13\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*g**2*s**2 + 1239*g**2*s - 2*g**2 - 3*g*s**2 + 4*g*s + g - 591*s**2 - 2*s + 4 wrt g?\nAnswer: -86*s**2 + 2478*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 261489960.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1670218 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2924 times 200?\nAnswer: -584800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 55, 75, 79, 61, 15, -65, -185?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.027 - 2.717. Let c = b + 2.82. What is the third smallest value in -0.4, c, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4)\/(0 + 1). Let c(v) = v**3 + 10*v**2 + 10*v + 10. Suppose -f + 3 = 3*j, -14 = 2*f - 0*j + j. Let a be c(f). Put -2, m, a in descending order.\nAnswer: m, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let p be (-4)\/12 + (-11)\/3 + 1. Put l, p, 5 in descending order.\nAnswer: 5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + 2. Let p be 5\/20 - 86\/(-8). Suppose 0 = 4*y - p - 9. Let s(x) = -15*x - 3 + 0 + 4 - y. Give -13*r(z) - 6*s(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -201?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1365.0133647 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.191 - 5.090936. Let r = 0.09 + 0.01. Let c = r - o. Round c to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:00 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5737824 divided by -25056.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -230031110000?\nAnswer: -230031110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 3, l: 3, s: 2, h: 3, k: 1}. What is prob of picking 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvlvvqqlqqvqvqv. What is prob of sequence vqlv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 1. Let j(l) = l**2 - 31*l + 62. Let o be j(29). Suppose 5*d + 5*c + 31 = 3*d, o*c + 35 = -5*d. What is h(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3de (base 15) in base 2?\nAnswer: -1101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 282*j**2 - 25?\nAnswer: 564*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + u - 3 = 0, -2*u = -0*u + 4. What is the third derivative of -z + 2 + q**2 + 3 + q**3 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8730564 (base 9) to base 8.\nAnswer: -21676331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -15*i + 6*i. Suppose 3*s + i*d - 24 = -s, d - 12 = -4*s. Solve -6 = -5*r + s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + -7 + 117\/12. Solve r + a = 5 - 2, h = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387298 is divided by 210.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/1661 - 15097\/61457. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.2, 4\/5, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*9\/(-126)*2\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2 - k**3 - k - 377*k**2 + 377*k**2. Let q(h) = -1. Calculate -5*q(n) + 2*u(n).\nAnswer: -2*n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + -6*sqrt(110))*3 + 1*sqrt(110)*2)\/((sqrt(80) + 4*2*sqrt(80))\/(sqrt(80)\/(sqrt(10) + sqrt(50)\/sqrt(5) + sqrt(10) + sqrt(10)))))**2.\nAnswer: 1859\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -32?\nAnswer: 45\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.929999777 - -10.93. Round p to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5\/7 + 66*u**4 + 1132*u**3 + 25992*u**2\/7 - 6480*u\/7 - 77814\/7 = 0.\nAnswer: -11, -3, 3\/2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*m, 4 + 2 = -2*d - 4*m. Solve -4*y - 1 = -3*s, -3*s + 3*y + d = -2*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m - 1. Let f be w(1). Let i be (-7)\/(140\/(-6)) - (-481)\/130. Solve -r = t, -f = i*t + 3*r - 0*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*((-3)\/(-18)*-3)\/((-87)\/(-174))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.45803 (b) -1 (c) 5 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**6\/10 - 9*a**5\/25 - 3*a**4\/20 + 11*a**3\/5 - 18*a**2\/5 + 12*a\/5 - 8. Let n(b) = 0. Calculate b.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*i**3 - 435*i**3 - 913*i**3 + 555*i**3.\nAnswer: -1866*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-95 - (-26 + -26)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36549\/6975 - 12\/50 - 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-10697.\nAnswer: -53485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(2\/39)*t**9*(t*t\/((t*t*t**(1\/11)*t*t)\/t))\/t**(-8) assuming t is positive.\nAnswer: t**(7705\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 17*d - 5. Let x be (-1)\/d + 4\/(-4). Suppose 2*u + x = 192. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1a90?\nAnswer: -1a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 4. List the prime factors of m(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109\/4 + 26. Which is the smallest value? (a) 5 (b) -0.5 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320486 is divided by 8950.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12791, 12855, 12919?\n\"Answer: 64*o + 12727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 25. Suppose -c*g + 80 = 5*h, 2*h - 74 = -3*g + g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(80)\/sqrt(4))\/((-2*sqrt(640) - sqrt(640)) + sqrt(10)))**2 + (1 + sqrt(200) + sqrt(200) + -1 + 1*sqrt(200) + sqrt(200))**2.\nAnswer: 1692832\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 10*z = 2*g - 1, 4*z = -3*g - 37. Which is the nearest to 1\/221? (a) 4 (b) 0.2 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 1. Let o be f(-1). Let k = 8 - o. Calculate the greatest common divisor of k and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) -3.735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 173, 372, 659, 1040?\n\"Answer: t**3 + 35*t**2 + 5*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229.5 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 - 0?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:21 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.45 in -4\/17, -0.03, -12, 2\/9, 14\/9?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1333 - 9*z**3 + 2658 + z - 2*z**2 - 1321 to the form w + b*z**2 + u*z + c*z**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 7}. Give prob of picking 2 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {a: 2, y: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3\/3 + 128*o**2\/3 + 2048*o\/3 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 b when three letters picked without replacement from {s: 1, c: 1, b: 1, i: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1\/(-9))\/(10*(-5)\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 10*l - 231 - 249. Suppose 3*t + 22 - 238 = 0. What is the greatest common factor of l and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -14. Let i = 1.0157 + -1.0157. Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(425) - (0 + sqrt(425))**2).\nAnswer: -421 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 34*x**4 - 1 + 3*x**2 + 32*x - 65*x**4 + 6*x**2 + 33*x**4 as h*x**3 + i*x**2 + n*x + a + y*x**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 824 and 1442?\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-635)\/(-889) - 122\/112?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/252 + (1\/1)\/14)\/(20\/11).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00148982 rounded to 6 decimal places?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 885 + -877. Solve 0 = 2*l, -h + 3*h = 2*l - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 17 = l, -4*l - 12 = -3*l + 2*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-4 + sqrt(68)\/sqrt(4)).\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j = 1, 5*o - 2*j = 8. Find the third derivative of -7*l**o + 0*l**2 + l**3 + 6*l**3 wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010001111011110111110 (base 2) to base 15\nAnswer: -90d411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -2765, -6640, -12063, -19034, -27553?\nAnswer: -37620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -916516 and 0.4.\nAnswer: -916515.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66) - sqrt(66))*1 + -6*-2*sqrt(66))\/(sqrt(18)\/(sqrt(3)*-2) + -4*-1*sqrt(6)).\nAnswer: 26*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((11\/(-44))\/((-10)\/8)). Suppose 10*p - 15*p + 5 = 0. List the prime factors of 85*p - (-5 + h).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -50*i. Let o(q) = 4*q**2. Calculate o(g(n)).\nAnswer: 10000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/23 (b) -2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 55*y**3 + 2*y - 109*y**3 - 360*y**2 + 53*y**3 to q*y**2 + l + z*y**3 + u*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-3) - 2)\/(10\/(-3770700)). Round f to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 14. Let q be x(-12). Let l(i) = 0*i**2 + 3*i**2 + 3*i + 4 + 3*i**2. What is the tens digit of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 54*u - 380. Give q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7168 = -18551*s + 16759*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10 + (-867)\/15. Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -0.78, -5\/3, 0.2, -5 in descending order.\nAnswer: 0.5, 2\/5, 0.2, -0.78, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669 + 3*x**2 + 669.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:36 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 723 and 2613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1878144 and 117384.\nAnswer: 1878144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5857*d + 5857*d + 146*d**2.\nAnswer: 146*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(8\/3))\/((-45)\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4513 = -318*i - 575 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n - 8. Let z(v) = 8*v**2 - 49*v + 9. Let l be z(6). Solve 4*p = 0, -l*p - 6 + n = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1166 - 507?\nAnswer: b5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 17. Does 25 divide f(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*t**3 + 271*t**3 - 1199*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-165)\/77 - (-1)\/7) + -3. Let l be (-2 - -9) + -2 - j. Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m)*(m**2 - 7*m + 7*m) - 2*m**3 + 3 - 3 + (3*m**2 + 2*m**2 - 3*m**2)*(2*m - 2*m - 2*m) - 30*m**3 + 247*m - 247*m + 4*m**3 - 4*m**3 - 2*m**3.\nAnswer: -37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 20 - 557. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135765114?\nAnswer: 2, 3, 22627519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 = -5*v, -2*v + 0*t - 5*t = 3. Let l = 12080 + -676481\/56. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 - 2*c + 5. Let w be a(3). Suppose -11*b + 24 = -w*b. What is the third biggest value in b, 5, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89598?\nAnswer: 2, 3, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l = 39*l + 474 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24735341 and 415412.\nAnswer: 6109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1) + 0\/1. Suppose n*a + w + 2*w = 6, -a + w - 2 = 0. Let y(k) = -k**2 - k + 7. List the prime factors of y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 54*y - 49. Let t be x(1). Solve -9*a + 6 = c - 10*a, -t*c + 10 = -a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6) - (-306)\/(-4). Is r\/(-12) - (-2)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*t**5 + b**2*t + 208*t**5 - 16262*t**2 wrt t?\nAnswer: 180*b**2*t**2 + 12480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1540?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/66)\/(2288\/390 + -6).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 22*l**2 - 21*l + 20. What is the remainder when 36 is divided by m(21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10955950073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)**(-4)\/((b\/(b\/(b\/(b*b**7))))\/(b**(-5)\/b*b))*(b*b\/b**(-1\/21)*b\/b**(7\/4))**8 assuming b is positive.\nAnswer: b**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 4, z: 10}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/62700 and 17\/114?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007100427 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -8247, 2, -258\/11, -5, -2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*k + 48, -u + 74647 = -5*k + 74704 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 63 = -261. Let r = -45 - -67. Suppose -10*p - r = -11*p. What is the remainder when p is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - 101?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 1. Let p(x) be the third derivative of x**4\/12 + x**3\/6 - 30*x**2. Determine -3*p(c) + 2*r(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, -4, 3351, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -44.6. Put -2\/57, -0.3, q, 0.3 in descending order.\nAnswer: 0.3, -2\/57, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -11 - 2. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/27*3240\/7. Let z = -154 + x. Find r, given that z*r**2 + 4\/7*r + 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5765 and 56?\nAnswer: 322840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*y = 169*y + 16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/27)*y*y\/y**(-8)*(y\/(y\/y**(1\/2)))\/y*y*y*y*y**(-1\/14)\/y assuming y is positive.\nAnswer: y**(2363\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 k, and 1 i when four letters picked without replacement from {q: 1, k: 9, z: 2, m: 6, i: 1}.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wqwzqqzqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99037866 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193629*r**5 + r**2 + 20*r + 83?\nAnswer: 11617740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2 - 6. Let v be 2 + 2 + 0 + 1. Let g = 13 - v. Solve 0 = -x*j - g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(71\/284).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(4 - 4 + 8*g) + 4 - g - 4 + 2*g + 0 + 0)*(-32*g - 22*g - 45*g).\nAnswer: -891*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2211667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 3. Let r(m) = -18*m - 10. Give 14*p(a) + 4*r(a).\nAnswer: 12*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.02 - 5.065. Let c = b - -0.045. What is the second biggest value in 1, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 32*n**2 - 20*n + 17. Let b be z(35). Suppose b = 10*h - 2*h. What are the prime factors of h?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -746765164.19984 - -746823963. Let h = -58795 + z. Let i = h + -3.8. Round i to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -26*t**3 - 2*t**2 - 3*t + 6. Give b(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 39*z - 42*z + 79*z - 12.\nAnswer: 2*(z - 3)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182452 is divided by 22805?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 8*t**2 - 3*t + 2. Let y be w(-6). Let f = y - 85. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -55312153.\nAnswer: -1106243.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 680880 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45622629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15018 + 15014. Which is the closest to -1\/11? (a) 0.2 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 11*f + 182. Let m be y(19). What is the greatest common factor of 190 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = b + 10. Suppose 0 = 5*d + q - b, d + 7 + 0 = 3*q. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -558 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*i = 3*i + 7345464. What are the prime factors of i?\nAnswer: 2, 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80555, 80501, 80361, 80093, 79655?\n\"Answer: -7*w**3 - w**2 - 2*w + 80565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 11. Let n be f(-6). Let o(b) = -b**2 + 4*b + 4. Let m(d) = 3*d**2 - 13*d - 13. Calculate n*o(c) + 2*m(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 2 n when four letters picked without replacement from dnpxnpgpdpng?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:59 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2479 + 2341. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/90*-6 - 114370\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 932*v**2 + 324*v + 3339. Is t(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -104*d + 3. Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3940.775g?\nAnswer: 3940775000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -38.1. Which is the closest to -3? (a) j (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 1. Suppose 0*s - 5*c - 47 = -2*s, c - 1 = 0. Let d = s + -32. Let p(v) = 4*v - 1. Calculate d*p(r) - 5*m(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 1, q: 1}. What is prob of sequence mjq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 plus -1410.04?\nAnswer: -1410.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from joqajsjjj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 18*z**2 - 18*z - 16. Let s be a(19). What is the second derivative of 4709*h - 4911*h + 5*h**3 + 148*h**s wrt h?\nAnswer: 918*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/325*644\/3381?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*a - 0*a. Suppose -3*r - 2*s = -7*s - 21, -4*r = s - a. Let y(p) = p - 6*p**r + 3*p**3 + p**3 + 3*p**2 - 3*p**3. Give y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a day in minutes?\nAnswer: 29280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 913734 and 1776.\nAnswer: 270465264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 6*t**2 - 8*t + 2. Let m be h(-4). Let r be 0 + 6\/m + -36. Let u be 4836\/(-22) + 6\/r. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3644 by -63.\nAnswer: 3644\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -467731.79 rounded to the nearest one hundred?\nAnswer: -467700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22790.29 - 22818. What is y rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 3 + -12 - -5. Let k = -22492 + 719661\/32. Find the common denominator of (5\/40)\/(f + 161\/162) and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 9*y + 6 = 0. Suppose 5*l + 4*s - 24 = -0*l, 2*l + y*s - 10 = 0. Suppose 28 = -2*r + l*r. Calculate the least common multiple of r and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, i: 4, f: 3}. Give prob of sequence afa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -603.0566 - -603. Let v = m - 0.0416. Round v to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 904 + 764 - 247 + 2*p**2 + 9*p**2 - 12*p**2 to the form v*p + a + s*p**2 and give a.\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14603188*j**2 - 91650807 wrt j?\nAnswer: 29206376*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 331*h + 24. Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 1. What is i(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q + 234 - 87 + 285*q**3 - 101*q**4 + 100*q**4 wrt q.\nAnswer: -12*q**2 + 1710*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 0.2, -445, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, 0.4, 0.2, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0.1, 2\/7, 1211, 1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -41. Is 3 - (8 - 1)*i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + p - 19, -4*n - 6*p + 43 = 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3449.953t to kilograms.\nAnswer: 3449953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.3 (c) 0 (d) -1.7 (e) -1 (f) 0.508\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -234111?\nAnswer: -234111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -795254.09 rounded to the nearest one thousand?\nAnswer: -795000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y - 23*y - 82*y - 25*y + 27*y.\nAnswer: -132*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.459 - 0.021. What is n rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -67*l + 5118. What are the prime factors of y(28)?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t. Let v(j) be the first derivative of -7*j**2\/2 - 78. What is -3*v(r) - 4*z(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*q - 11 = 0, 6*q - 5*q = 4*z + 16. Let v = -3 - z. Suppose u + v = 9. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 - 2*c - 5. Let a be j(5). Let g = -2 + a. Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 10, u: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 23. Suppose r - a = 1. Suppose -r*w - 4*d + 6 = 2, 5*w - 5 = d. Solve 0 = t - 5*f + w + 20, -15 = -t - 4*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = 22 - 136. Solve c*l + 16 = 14*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(2) - sqrt(2)*1*-2)**2 + (sqrt(162) + -1 + sqrt(162) + 0)**2 + -1.\nAnswer: -36*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.38, -1, 0.2, -6, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/85))\/((t\/(t\/(t*(t*t\/t**(22\/5)*t*t*t*t)\/t*t*t*t)*t*t))\/t))**(-17) assuming t is positive.\nAnswer: t**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35334226 to the nearest integer?\nAnswer: 5944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32433 divided by 1049.\nAnswer: 32433\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 25 = -1. Suppose 0*s - d*s + 24 = 0. Suppose 0 = 2*t - s*t + 276. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -4711.\nAnswer: 9\/4711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23655559163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:44 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13233 + 15092 = -143*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o + 2. Suppose -24 = -p - 2*p. Suppose -y - p = y. Is c(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*n + 18, -54 = 2*n + 4*x - 48 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680 divided by 105.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -2*l**7\/105 + 31*l**6\/15 - 319*l**5\/5 - 124*l**4\/3 + 7688*l**3\/3 + 6839*l**2. Find w such that h(w) = 0.\nAnswer: -2, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 + (-700)\/(-9). Let a(k) = 56*k + 375. Let u be a(-6). What is the greatest common factor of u and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3 + 4 - 5)*(-292 + 6*a**3 + 292).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 871 + -300. Let g = -164 + t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*d = 0, r - 4*d - 10 = 2*r. What is the smallest common multiple of r and 118?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4311*c - 4039*c - 5168 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1772178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + 1\/2. Suppose f = 3*k - 9. Suppose -s = -k - 1. Solve 13 = -s*p - c, -3*p = p - c + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 - 1)*(1 - 2 + 3)*(0*v**3 + v**3 + 0*v**3) + (2*v + 3*v - 2*v)*(-31*v**2 + 128*v**2 - 58*v**2).\nAnswer: 93*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + 69. Let t = 1585 - 1401. Is q >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f. Let o be z(-1). Suppose 5*p = 3*x - 23, 0 = 2*x - x - o*p - 1. Suppose a + 4*u - x = -2*a, 4*a - u = 40. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -1766, -3972, -7060, -11030, -15882?\nAnswer: -21616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1064\/(-16) - 6*2\/8. Let i = -65 - d. Calculate the greatest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:08 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d - 1. Let b(a) = a**2 - 3*a + 3. Suppose 3*j + 0*j = 6. Let v be b(j). Is d greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2 + 21*m + 4 - 6. Let j(l) = -2*l**2 - 3*l - 3. Let s(i) = 3*i**2 + 4*i + 4. Let f(n) = -4*j(n) - 3*s(n). Calculate f(v(b)).\nAnswer: -441*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u\/(u*u**(-1)))\/u*u)\/u)\/u)**(-20)*(u\/(u\/u**(-4)))\/u*u\/((u\/u**(-2))\/u) assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -4.4. Which is the third biggest value? (a) -2\/7 (b) 3\/5 (c) k (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (202\/140 + -42 + (-10304)\/(-245))\/((-6)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.7 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/(-4) + (-145)\/(-20) + -7. What are the prime factors of (g\/(-12) - 1233\/(-12))\/2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6)*40\/30. Put -23, u, -67 in decreasing order.\nAnswer: u, -23, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -2*c, -y + 15 = 7*c - 4*c. Let j = -2 - -2.2. Let p = j + -0.3. Is p at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-11))\/(19*99\/(-27588))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17755416 is divided by 331.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1835 + 1923 + (1 - 64)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 1. Let x be n(-1). Let y be 4 - (1 - x\/2). Suppose -32 = -y*g + 12. Solve g = -4*d + 5*w + 6, -3*w = -3*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**8)\/a**(-11))\/((((a**10*a)\/a)\/a)\/(a*a*a*a**1*a*a*a)) assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 497 by -4.\nAnswer: -497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7. Calculate the remainder when ((-32)\/5)\/(t\/5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:14 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 170.04 and -0.11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9739, -9640, -9457, -9190, -8839, -8404?\n\"Answer: 42*x**2 - 27*x - 9754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmxxmmxmmxxm. What is prob of sequence xxx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4776618 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t + 22 = -d, t + 47 = -5*d. What is the third biggest value in d, 10\/3, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16730.\nAnswer: 2, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 4, 1\/4 in ascending order.\nAnswer: -58, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose v = -t + 3*t. Suppose -5 = -5*i - t. Let c(k) = 3*k - 1. Determine c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}